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Three-coloring triangle-free graphs on surfaces VI. 3-colorability of quadrangulations
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2023
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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PDF
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On 2-cycles of graphs
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2023
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Sergey Norin
Robin Thomas
Hein van der Holst
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PDF
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Properties of 8-contraction-critical graphs with no <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e176" altimg="si7.svg"><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msub></mml:math> minor
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2023
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Martin Rolek
Zi‐Xia Song
Robin Thomas
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PDF
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Packing cycles in undirected group-labelled graphs
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2023
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Robin Thomas
Youngho Yoo
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PDF
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Packing A-paths of length zero modulo a prime
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2023
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Robin Thomas
Youngho Yoo
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Properties of $8$-contraction-critical graphs with no $K_7$ minor
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2022
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Martin Rolek
Zi‐Xia Song
Robin Thomas
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Five-List-Coloring Graphs on Surfaces: The Many Faces Far-Apart Generalization of Thomassen's Theorem
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2021
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Luke Postle
Robin Thomas
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PDF
Chat
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Three-coloring triangle-free graphs on surfaces VII. A linear-time algorithm
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2021
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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Five-List-Coloring Graphs on Surfaces: The Many Faces Far-Apart Generalization of Thomassen's Theorem
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2021
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Luke Postle
Robin Thomas
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PDF
Chat
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Three-coloring triangle-free graphs on surfaces IV. Bounding face sizes of 4-critical graphs
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2020
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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PDF
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Three-coloring triangle-free graphs on surfaces III. Graphs of girth five
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2020
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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PDF
Chat
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Three-coloring triangle-free graphs on surfaces V. Coloring planar graphs with distant anomalies
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2020
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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Robertson's conjecture I. Well-quasi-ordering bounded tree-width graphs by the topological minor relation
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2020
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Chun‐Hung Liu
Robin Thomas
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Quickly excluding a non-planar graph
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2020
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Ken‐ichi Kawarabayashi
Robin Thomas
Paul Wollan
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+
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Packing cycles in undirected group-labelled graphs
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2020
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Robin Thomas
Youngho Yoo
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+
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Packing $A$-paths of length zero modulo a prime
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2020
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Robin Thomas
Youngho Yoo
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PDF
Chat
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Girth Six Cubic Graphs Have Petersen Minors
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2019
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Neil Robertson
Paul Seymour
Robin Thomas
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PDF
Chat
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The Extremal Function for Bipartite Linklessly Embeddable Graphs
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2019
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Rose McCarty
Robin Thomas
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PDF
Chat
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Excluded minors in cubic graphs
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2019
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Neil Robertson
Paul Seymour
Robin Thomas
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PDF
Chat
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Hyperbolic families and coloring graphs on surfaces
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2018
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Luke Postle
Robin Thomas
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PDF
Chat
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Excluding subdivisions of bounded degree graphs
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2018
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Chun‐Hung Liu
Robin Thomas
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PDF
Chat
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The extremal functions for triangle-free graphs with excluded minors
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2018
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Robin Thomas
Youngho Yoo
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PDF
Chat
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Three-coloring triangle-free graphs on surfaces II. 4-critical graphs in a disk
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2018
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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PDF
Chat
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Non-embeddable extensions of embedded minors
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2018
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Rajneesh Hegde
Robin Thomas
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The extremal functions for triangle-free graphs with excluded minors
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2018
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Robin Thomas
Youngho Yoo
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PDF
Chat
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Four Edge-Independent Spanning Trees
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2018
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Alexander Hoyer
Robin Thomas
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The extremal functions for triangle-free graphs with excluded minors
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2018
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Robin Thomas
Youngho Yoo
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The space of ends of pairs of disjoint paths
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2017
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Guantao Chen
Serguei Norine
Robin Thomas
Hein van der Holst
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On the Space of 2-Linkages
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2017
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Guantao Chen
Serguei Norine
Robin Thomas
Hein van der Holst
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Non-branching tree-decompositions
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2017
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Thanh Dang
Robin Thomas
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Pairs of disjoint cycles
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2017
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Serguei Norine
Robin Thomas
Hein van der Holst
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+
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On $2$-cycles of graphs
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2017
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Serguei Norine
Robin Thomas
Hein van der Holst
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PDF
Chat
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A new proof of the flat wall theorem
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2017
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Ken‐ichi Kawarabayashi
Robin Thomas
Paul Wollan
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K6 minors in large 6-connected graphs
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2017
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Ken‐ichi Kawarabayashi
Serguei Norine
Robin Thomas
Paul Wollan
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PDF
Chat
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K6 minors in 6-connected graphs of bounded tree-width
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2017
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Ken‐ichi Kawarabayashi
Serguei Norine
Robin Thomas
Paul Wollan
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PDF
Chat
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Five-list-coloring graphs on surfaces III. One list of size one and one list of size two
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2017
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Luke Postle
Robin Thomas
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Four Edge-Independent Spanning Trees
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2017
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Alexander Hoyer
Robin Thomas
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PDF
Chat
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Cyclically five-connected cubic graphs
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2017
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Neil Robertson
Paul Seymour
Robin Thomas
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Minors of two-connected graphs of large path-width
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2017
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Thanh Dang
Robin Thomas
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On the Space of 2-Linkages
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2017
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Guantao Chen
Serguei Norine
Robin Thomas
Hein van der Holst
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+
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Non-branching tree-decompositions
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2017
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Thanh Dang
Robin Thomas
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+
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Four Edge-Independent Spanning Trees
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2017
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Alexander Hoyer
Robin Thomas
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+
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On $2$-cycles of graphs
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2017
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Serguei Norine
Robin Thomas
Hein van der Holst
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+
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Hyperbolic families and coloring graphs on surfaces
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2016
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Luke Postle
Robin Thomas
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Five-list-coloring graphs on surfaces III. One list of size one and one list of size two
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2016
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Luke Postle
Robin Thomas
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Non-planar extensions of subdivisions of planar graphs
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2016
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Sergey Norin
Robin Thomas
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The Gyori-Lovasz theorem
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2016
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Alexander Hoyer
Robin Thomas
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PDF
Chat
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Three-coloring triangle-free graphs on surfaces I. Extending a coloring to a disk with one triangle
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2016
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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Odd K3,3 subdivisions in bipartite graphs
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2016
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Robin Thomas
Peter Whalen
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Three-coloring triangle-free graphs on surfaces VII. A linear-time algorithm
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2016
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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Three-edge-colouring doublecross cubic graphs
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2016
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Katherine Edwards
Daniel P. Sanders
Paul Seymour
Robin Thomas
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+
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Hyperbolic families and coloring graphs on surfaces
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2016
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Luke Postle
Robin Thomas
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Three-coloring triangle-free graphs on surfaces VII. A linear-time algorithm
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2016
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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Five-list-coloring graphs on surfaces III. One list of size one and one list of size two
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2016
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Luke Postle
Robin Thomas
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Five-list-coloring graphs on surfaces II. A linear bound for critical graphs in a disk
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2015
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Luke Postle
Robin Thomas
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PDF
Chat
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Deploying Robots With Two Sensors in <i>K</i><sub>1, 6</sub>‐Free Graphs
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2015
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Waseem Abbas
Magnus Egerstedt
Chun‐Hung Liu
Robin Thomas
Peter Whalen
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Five-list-coloring graphs on surfaces II. A linear bound for critical graphs in a disk
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2015
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Luke Postle
Robin Thomas
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Excluding A Grid Minor In Planar Digraphs
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2015
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Thor Johnson
Neil Robertson
Paul Seymour
Robin Thomas
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+
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Five-list-coloring graphs on surfaces II. A linear bound for critical graphs in a disk
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2015
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Luke Postle
Robin Thomas
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Three-coloring triangle-free graphs on surfaces VI. 3-colorability of quadrangulations
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2015
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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+
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Three-edge-colouring doublecross cubic graphs
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2014
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Katherine Edwards
Daniel P. Sanders
Paul Seymour
Robin Thomas
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PDF
Chat
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Five-list-coloring graphs on surfaces I. Two lists of size two in planar graphs
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2014
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Luke Postle
Robin Thomas
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Excluding subdivisions of bounded degree graphs.
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2014
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Chun‐Hung Liu
Robin Thomas
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+
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Girth six cubic graphs have Petersen minors
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2014
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Neil Robertson
Paul Seymour
Robin Thomas
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+
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Three-coloring triangle-free graphs on surfaces IV. Bounding face sizes of 4-critical graphs
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2014
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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+
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Excluded minors in cubic graphs
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2014
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Neil Robertson
Paul Seymour
Robin Thomas
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+
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Three-coloring triangle-free graphs on surfaces III. Graphs of girth five
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2014
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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Five-list-coloring graphs on surfaces I. Two lists of size two in planar graphs
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2014
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Luke Postle
Robin Thomas
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+
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Discharging cartwheels
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2014
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Neil Robertson
Daniel P. Sanders
Paul Seymour
Robin Thomas
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+
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Non-Embeddable Extensions of Embedded Minors
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2014
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Rajneesh Hegde
Robin Thomas
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+
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Reducibility in the Four-Color Theorem
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2014
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Neil Robertson
Daniel P. Sanders
Paul Seymour
Robin Thomas
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+
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List-coloring apex-minor-free graphs
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2014
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Zdeněk Dvořák
Robin Thomas
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+
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Discharging cartwheels
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2014
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Neil Robertson
Daniel P. Sanders
Paul Seymour
Robin Thomas
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+
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Excluded minors in cubic graphs
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2014
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Neil Robertson
Paul Seymour
Robin Thomas
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+
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Five-list-coloring graphs on surfaces I. Two lists of size two in planar graphs
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2014
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Luke Postle
Robin Thomas
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+
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Girth six cubic graphs have Petersen minors
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2014
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Neil Robertson
Paul Seymour
Robin Thomas
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+
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Non-Embeddable Extensions of Embedded Minors
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2014
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Rajneesh Hegde
Robin Thomas
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+
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Three-coloring triangle-free graphs on surfaces IV. Bounding face sizes of 4-critical graphs
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2014
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
|
+
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Three-coloring triangle-free graphs on surfaces III. Graphs of girth five
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2014
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
|
+
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Three-edge-colouring doublecross cubic graphs
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2014
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Katherine Edwards
Daniel P. Sanders
Paul Seymour
Robin Thomas
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+
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Sub-exponentially many 3-colorings of triangle-free planar graphs
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2013
|
Arash Asadi
Zdeněk Dvořák
Luke Postle
Robin Thomas
|
+
PDF
Chat
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Testing first-order properties for subclasses of sparse graphs
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2013
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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+
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Odd K_3,3 subdivisions in bipartite graphs
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2013
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Robin Thomas
Peter Whalen
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+
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Deploying robots with two sensors in $K_{1,6}$-free graphs
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2013
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Waseem Abbas
Magnus Egerstedt
Chun‐Hung Liu
Robin Thomas
Peter Whalen
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+
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Three-coloring triangle-free planar graphs in linear time
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2013
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Zdeněk Dvořák
Ken‐ichi Kawarabayashi
Robin Thomas
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+
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Three-coloring triangle-free graphs on surfaces II. 4-critical graphs in a disk
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2013
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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+
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Arrangeability and Clique Subdivisions
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2013
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Vojtěch Rödl
Robin Thomas
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+
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Odd K_3,3 subdivisions in bipartite graphs
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2013
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Robin Thomas
Peter Whalen
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+
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Deploying robots with two sensors in $K_{1,6}$-free graphs
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2013
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Waseem Abbas
Magnus Egerstedt
Chun‐Hung Liu
Robin Thomas
Peter Whalen
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+
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Three-coloring triangle-free planar graphs in linear time
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2013
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Zdeněk Dvořák
Ken‐ichi Kawarabayashi
Robin Thomas
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+
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Three-coloring triangle-free graphs on surfaces II. 4-critical graphs in a disk
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2013
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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+
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A New Proof of the Weak Structure Theorem
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2012
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Ken‐ichi Kawarabayashi
Robin Thomas
Paul Wollan
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+
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A New Proof of the Flat Wall Theorem
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2012
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Ken‐ichi Kawarabayashi
Robin Thomas
Paul Wollan
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+
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Five-coloring graphs on the Klein bottle
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2012
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Nathan Chenette
Luke Postle
Noah Streib
Robin Thomas
Carl Yerger
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+
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K_6 minors in large 6-connected graphs
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2012
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Ken‐ichi Kawarabayashi
Serguei Norine
Robin Thomas
Paul Wollan
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+
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K_6 minors in 6-connected graphs of bounded tree-width
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2012
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Ken‐ichi Kawarabayashi
Serguei Norine
Robin Thomas
Paul Wollan
|
+
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Five-coloring graphs on the Klein bottle
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2012
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Nathan Chenette
Luke Postle
Noah Streib
Robin Thomas
Carl Yerger
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A new semidefinite programming relaxation for cycles in binary matroids and cuts in graphs
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2012
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João Gouveia
Monique Laurent
Pablo A. Parrilo
Robin Thomas
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A new semidefinite programming relaxation for cycles in binary matroids and cuts in graphs
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2012
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João Gouveia
Monique Laurent
Pablo A. Parrilo
Robin Thomas
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K_6 minors in 6-connected graphs of bounded tree-width
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2012
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Ken‐ichi Kawarabayashi
Serguei Norine
Robin Thomas
Paul Wollan
|
+
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Five-coloring graphs on the Klein bottle
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2012
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Nathan Chenette
Luke Postle
Noah Streib
Robin Thomas
Carl Yerger
|
+
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A New Proof of the Flat Wall Theorem
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2012
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Ken‐ichi Kawarabayashi
Robin Thomas
Paul Wollan
|
+
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K_6 minors in large 6-connected graphs
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2012
|
Ken‐ichi Kawarabayashi
Serguei Norine
Robin Thomas
Paul Wollan
|
+
PDF
Chat
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Packing directed circuits exactly
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2011
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Bertrand Guenin
Robin Thomas
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+
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Testing first-order properties for subclasses of sparse graphs
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2011
|
Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
|
+
PDF
Chat
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Three-coloring triangle-free planar graphs in linear time
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2011
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Zdeněk Dvořák
Ken‐ichi Kawarabayashi
Robin Thomas
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+
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Edge-coloring series-parallel multigraphs
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2011
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Cristina G. Fernandes
Robin Thomas
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+
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Nested cycles in large triangulations and crossing-critical graphs
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2011
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César Hernández-Vélez
Gelasio Salazar
Robin Thomas
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+
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Color-critical graphs have logarithmic circumference
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2011
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A. Shapira
Robin Thomas
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+
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Testing first-order properties for subclasses of sparse graphs
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2011
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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+
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Edge-coloring series-parallel multigraphs
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2011
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Cristina G. Fernandes
Robin Thomas
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Large non-planar graphs and an application to crossing-critical graphs
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2010
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Guoli Ding
Bogdan Oporowski
Robin Thomas
Dirk Vertigan
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+
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Packing directed circuits exactly
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2010
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Bertrand Guenin
Robin Thomas
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Three-coloring triangle-free graphs on surfaces I. Extending a coloring to a disk with one triangle
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2010
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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PDF
Chat
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Minor-Minimal Planar Graphs of Even Branch-Width
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2010
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Torsten Inkmann
Robin Thomas
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+
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Sub-exponentially many 3-colorings of triangle-free planar graphs
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2010
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Arash Asadi
Zdeněk Dvořák
Luke Postle
Robin Thomas
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+
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Minor-minimal planar graphs of even branch-width
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2010
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Torsten Inkmann
Robin Thomas
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+
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Three-coloring triangle-free graphs on surfaces I. Extending a coloring to a disk with one triangle
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2010
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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+
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Sub-exponentially many 3-colorings of triangle-free planar graphs
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2010
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Arash Asadi
Zdeněk Dvořák
Luke Postle
Robin Thomas
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+
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Packing directed circuits exactly
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2010
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Bertrand Guenin
Robin Thomas
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+
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Minor-minimal planar graphs of even branch-width
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2010
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Torsten Inkmann
Robin Thomas
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Three-coloring triangle-free graphs on surfaces V. Coloring planar graphs with distant anomalies
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2009
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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Coloring planar graphs with triangles far apart
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2009
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Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
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+
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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>K</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math>-free graphs with no odd holes
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2009
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Maria Chudnovsky
Neil Robertson
Paul Seymour
Robin Thomas
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Color-Critical Graphs Have Logarithmic Circumference
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2009
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A. Shapira
Robin Thomas
|
+
PDF
Chat
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Sub-Exponentially Many 3-Colorings of Triangle-Free Planar Graphs
|
2009
|
Arash Asadi
Luke Postle
Robin Thomas
|
+
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Large Non-Planar Graphs and an Application to Crossing-Critical Graphs
|
2009
|
Guoli Ding
Bogdan Oporowski
Robin Thomas
Dirk Vertigan
|
+
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Three-coloring triangle-free graphs on surfaces V. Coloring planar graphs with distant anomalies
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2009
|
Zdeněk Dvořák
Daniel Kráľ
Robin Thomas
|
+
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Color-Critical Graphs Have Logarithmic Circumference
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2009
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A. Shapira
Robin Thomas
|
+
PDF
Chat
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Coloring even-faced graphs in the torus and the Klein bottle
|
2008
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Daniel Kráľ
Robin Thomas
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+
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Minimally non-Pfaffian graphs
|
2008
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Serguei Norine
Robin Thomas
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+
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The extremal function for 3-linked graphs
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2008
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Robin Thomas
Paul Wollan
|
+
PDF
Chat
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Pfaffian labelings and signs of edge colorings
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2008
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Serguei Norine
Robin Thomas
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+
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A survey of Pfaffian orientations of graphs
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2007
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Robin Thomas
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+
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Generating bricks
|
2007
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Serguei Norine
Robin Thomas
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+
PDF
Chat
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The strong perfect graph theorem
|
2006
|
Maria Chudnovsky
Neil Robertson
Paul Seymour
Robin Thomas
|
+
PDF
Chat
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Minimal bricks
|
2006
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Serguei Norine
Robin Thomas
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+
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Proper minor-closed families are small
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2006
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Serguei Norine
Paul Seymour
Robin Thomas
Paul Wollan
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+
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A survey of Pfaffian orientations of graphs
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2006
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Robin Thomas
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Independent sets in triangle-free cubic planar graphs
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2005
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Christopher Heckman
Robin Thomas
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The extremal function for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>9</mml:mn></mml:mrow></mml:msub></mml:math> minors
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2005
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Zi‐Xia Song
Robin Thomas
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+
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Temperely-Lieb Algebras and the Four-Color Theorem
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2003
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Louis H. Kauffman
Robin Thomas
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+
PDF
Chat
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Progress on perfect graphs
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2003
|
Maria Chudnovsky
Neil Robertson
Paul Seymour
Robin Thomas
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+
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TEMPERLEY-LIEB ALGEBRAS AND THE FOUR-COLOR THEOREM
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2003
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Louis Kauman
Robin Thomas
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+
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Generating Internally Four-Connected Graphs
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2002
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Thor Johnson
Robin Thomas
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+
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The strong perfect graph theorem
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2002
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Maria Chudnovsky
Neil Robertson
Paul Seymour
Robin Thomas
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+
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Large induced forests in sparse graphs
|
2001
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Noga Alon
Dhruv Mubayi
Robin Thomas
|
+
PDF
Chat
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Large induced forests in sparse graphs
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2001
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Noga Alon
Dhruv Mubayi
Robin Thomas
|
+
PDF
Chat
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A new proof of the independence ratio of triangle-free cubic graphs
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2001
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Christopher Heckman
Robin Thomas
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+
PDF
Chat
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Excluding Minors in Nonplanar Graphs of Girth at Least Five
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2000
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Robin Thomas
Jan McDonald Thomson
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+
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Clique Minors in Graphs and Their Complements
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2000
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Bruce Reed
Robin Thomas
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+
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Independent sets in bounded degree graphs
|
2000
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Christopher Heckman
Robin Thomas
|
+
PDF
Chat
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Permanents, Pfaffian Orientations, and Even Directed Circuits
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1999
|
Neil Robertson
Paul Seymour
Robin Thomas
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+
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Permanents, Pfaffian orientations, and even directed circuits
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1999
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Neil Robertson
Paul Seymour
Robin Thomas
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Recent Excluded Minor Theorems for Graphs
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1999
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Robin Thomas
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Excluding a Countable Clique
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1999
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Reinhard Diestel
Robin Thomas
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Permanents, Pfaffian orientations, and even directed circuits
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1999
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Neil Robertson
Paul Seymour
Robin Thomas
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Permanents, Pfaffian orientations, and even directed circuits (extended abstract)
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1997
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William McCuaig
Neil Robertson
Paul Seymour
Robin Thomas
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Arrangeability and Clique Subdivisions
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1997
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Vojtěch Rödl
Robin Thomas
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Uniqueness of highly representative surface embeddings
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1996
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Paul Seymour
Robin Thomas
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Packing directed circuits
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1996
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Bruce Reed
Neil Robertson
Paul Seymour
Robin Thomas
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Spanning paths in infinite planar graphs
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1996
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Nathaniel Dean
Robin Thomas
Xingxing Yu
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Excluding infinite clique minors
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1996
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Neil Robertson
Paul Seymour
Robin Thomas
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On the genus of a random graph
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1995
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Vojtěch Rödl
Robin Thomas
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Excluding infinite trees
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1993
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Paul Seymour
Robin Thomas
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PDF
Chat
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Excluding Infinite Trees
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1993
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Paul Seymour
Robin Thomas
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Structural descriptions of lower ideals of trees
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1993
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Neil Robertson
Paul Seymour
Robin Thomas
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Chat
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Linkless embeddings of graphs in 3-space
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1993
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Neil Robertson
Paul Seymour
Robin Thomas
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Linkless embeddings of graphs in $3$-space
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1993
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Neil Robertson
Paul Seymour
Robin Thomas
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Linkless embeddings of graphs in $3$-space
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1993
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Neil Robertson
Paul Seymour
Robin Thomas
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PDF
Chat
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Monochromatic Vs multicolored paths
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1992
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Hanno Lefmann
Vojtěch Rödl
Robin Thomas
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PDF
Chat
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Excluding Subdivisions of Infinite Cliques
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1992
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Neil Robertson
Paul Seymour
Robin Thomas
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PDF
Chat
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Excluding subdivisions of infinite cliques
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1992
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Neil Robertson
Paul Seymour
Robin Thomas
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An end-faithful spanning tree counterexample
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1991
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Paul Seymour
Robin Thomas
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Excluding infinite minors
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1991
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Neil Robertson
Paul Seymour
Robin Thomas
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Analyzing Nash-Williams' partition theorem by means of ordinal types
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1991
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Igor Kříž
Robin Thomas
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On the orientable genus of graphs embedded in the klein bottle
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1991
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Neil Robertson
Robin Thomas
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The menger-like property of the tree-width of infinite graphs
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1991
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Igor Kříž
Robin Thomas
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PDF
Chat
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An end-faithful spanning tree counterexample
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1991
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Paul Seymour
Robin Thomas
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PDF
Chat
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A Separator Theorem for Nonplanar Graphs
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1990
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Noga Alon
Paul Seymour
Robin Thomas
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Clique-sums, tree-decompositions and compactness
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1990
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Igor Kříž
Robin Thomas
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A menger-like property of tree-width: The finite case
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1990
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Robin Thomas
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A separator theorem for nonplanar graphs
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1990
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Noga Alon
Paul Seymour
Robin Thomas
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PDF
Chat
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Well-Quasi-Ordering Infinite Graphs with Forbidden Finite Planar Minor
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1989
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Robin Thomas
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A counter-example to ‘Wagner's conjecture’ for infinite graphs
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1988
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Robin Thomas
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A Combinatorial Construction of a Nonmeasurable Set
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1985
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Robin Thomas
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On graphs of invulnerable communication nets
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1970
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Frank Boesch
Robin Thomas
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