Geoff Whittle

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All published works

Action	Title	Year	Authors
+ PDF Chat	Flexipaths in matroids	2024	Nick Brettell James Oxley Charles Semple Geoff Whittle
+	Excluded minors are almost fragile II: Essential elements	2023	Nick Brettell James Oxley Charles Semple Geoff Whittle
+	What is a 4-connected matroid?	2023	Nick Brettell Susan Jowett James Oxley Charles Semple Geoff Whittle
+	Excluded minors are almost fragile II: essential elements	2022	Nick Brettell James Oxley Charles Semple Geoff Whittle
+	The excluded minors for 2- and 3-regular matroids	2022	Nick Brettell James Oxley Charles Semple Geoff Whittle
+ PDF Chat	N-detachable pairs in 3-connected matroids III: The theorem	2021	Nick Brettell Geoff Whittle Alan Williams
+ PDF Chat	N-detachable pairs in 3-connected matroids II: Life in X	2020	Nick Brettell Geoff Whittle Alan Williams
+ PDF Chat	On Density-Critical Matroids	2020	Rutger Campbell Kevin Grace James Oxley Geoff Whittle
+	N-detachable pairs in 3-connected matroids I: Unveiling X	2020	Nick Brettell Geoff Whittle Aaron Williams
+	N-detachable pairs in 3-connected matroids I: Unveiling X	2020	Nick Brettell Geoff Whittle Aaron Williams
+ PDF Chat	Fractal classes of matroids	2020	Dillon Mayhew Mike Newman Geoff Whittle
+	N-detachable pairs in 3-connected matroids I: Unveiling X	2019	Nick Brettell Geoff Whittle Alan Williams
+	Fractal classes of matroids.	2019	Dillon Mayhew Mike Newman Geoff Whittle
+	Excluded minors are almost fragile	2019	Nick Brettell Ben Clark James Oxley Charles Semple Geoff Whittle
+ PDF Chat	A Splitter Theorem for 3-Connected 2-Polymatroids	2019	James Oxley Charles Semple Geoff Whittle
+ PDF Chat	On a Generalization of Spikes	2019	Nick Brettell Rutger Campbell Deborah Chun Kevin Grace Geoff Whittle
+	Fractal classes of matroids	2019	Dillon Mayhew Michael Newman Geoff Whittle
+	Yes, the “missing axiom” of matroid theory is lost forever	2018	Dillon Mayhew Mike Newman Geoff Whittle
+	A splitter theorem for 3-connected 2-polymatroids	2017	James Oxley Charles Semple Geoff Whittle
+	Excluding Kuratowski graphs and their duals from binary matroids	2017	Dillon Mayhew Gordon Royle Geoff Whittle
+	A splitter theorem for 3-connected 2-polymatroids	2017	James Oxley Charles Semple Geoff Whittle
+	Connectivity functions and polymatroids	2016	Susan Jowett Songbao Mo Geoff Whittle
+	Connectivity Functions and Polymatroids	2016	Susan Jowett Songbao Mo Geoff Whittle
+	Tangles and the Mona Lisa	2016	Reinhard Diestel Geoff Whittle
+	On recognising frame and lifted-graphic matroids	2016	Rong Chen Geoff Whittle
+ PDF Chat	The Structure of $\{U_{2,5}, U_{3,5}\}$-Fragile Matroids	2016	Ben Clark Dillon Mayhew Stefan van Zwam Geoff Whittle
+	Connectivity Functions and Polymatroids	2016	Sue Jowett Songbao Mo Geoff Whittle
+	Tangles and the Mona Lisa	2016	Reinhard Diestel Geoff Whittle
+	Certifying non-representability of matroids over prime fields	2015	Jim Geelen Geoff Whittle
+ PDF Chat	Special Issue in Honour of James Oxley	2015	Charles Semple Dominic Welsh Geoff Whittle
+ PDF Chat	The Highly Connected Matroids in Minor-Closed Classes	2015	Jim Geelen Bert Gerards Geoff Whittle
+	The structure of $\{U_{2,5}, U_{3,5}\}$-fragile matroids	2015	Ben Clark Dillon Mayhew Stefan van Zwam Geoff Whittle
+	Quasi-graphic matroids	2015	Jim Geelen Bert Gerards Geoff Whittle
+	Yes, the missing axiom of matroid theory is lost forever	2014	Dillon Mayhew Mike Newman Geoff Whittle
+	Solving Rota's Conjecture	2014	Jim Geelen Bert Gerards Geoff Whittle
+ PDF Chat	IS THE MISSING AXIOM OF MATROID THEORY LOST FOREVER?	2014	Dillon Mayhew Geoff Whittle Michael Newman
+ PDF Chat	Intertwining Connectivity in Matroids	2014	Rong Chen Geoff Whittle
+	Intertwining connectivity in matroids	2014	Rong Chen Geoff Whittle
+	Yes, the "missing axiom" of matroid theory is lost forever	2014	Dillon Mayhew Michael Newman Geoff Whittle
+ PDF Chat	Structure in minor-closed classes of matroids	2013	Jim Geelen Bert Gerards Geoff Whittle
+ PDF Chat	Tangles, trees, and flowers	2013	Ben Clark Geoff Whittle
+	Inequivalent representations of matroids over prime fields	2013	Jim Geelen Geoff Whittle
+	Computer-verification of the structure of some classes of fragile matroids	2013	Carolyn Chun Deborah Chun Benjamin F. Clark Dillon Mayhew Geoff Whittle Stefan H. M. van Zwam
+	The Highly Connected Matroids in Minor-closed Classes	2013	Jim Geelen Bert Gerards Geoff Whittle
+	Capturing matroid elements in unavoidable 3-connected minors	2012	Deborah Chun James Oxley Geoff Whittle
+	Is the missing axiom of matroid theory lost forever?	2012	Dillon Mayhew Michael Newman Geoff Whittle
+	Stability, fragility, and Rotaʼs Conjecture	2011	Dillon Mayhew Geoff Whittle Stefan H. M. van Zwam
+ PDF Chat	The structure of graphs with a vital linkage of order 2	2011	Dillon Mayhew Geoff Whittle Stefan H. M. van Zwam
+	On the asymptotic proportion of connected matroids	2011	Dillon Mayhew Mike Newman Dominic Welsh Geoff Whittle
+	Inequivalent Representations of Matroids over Prime Fields	2011	Jim Geelen Geoff Whittle
+ PDF Chat	An Obstacle to a Decomposition Theorem for Near-Regular Matroids	2011	Dillon Mayhew Geoff Whittle Stefan H. M. van Zwam
+	Tangles, trees, and flowers	2011	Ben Clark Geoff Whittle
+	Inequivalent Representations of Matroids over Prime Fields	2011	Jim Geelen Geoff Whittle
+	Certifying Non-representability of Matroids Over Prime Fields	2011	Jim Geelen Geoff Whittle
+	The structure of graphs with a vital linkage of order 2	2010	Dillon Mayhew Geoff Whittle Stefan H. M. van Zwam
+	Stability, fragility, and Rota's Conjecture	2010	Dillon Mayhew Geoff Whittle Stefan H. M. van Zwam
+	The Internally 4-Connected Binary Matroids With No 𝑀(𝐾_{3,3})-Minor.	2010	Dillon Mayhew Gordon Royle Geoff Whittle
+	The structure of graphs with a vital linkage of order 2	2010	Dillon Mayhew Geoff Whittle Stefan H. M. van Zwam
+	Stability, fragility, and Rota's Conjecture	2010	Dillon Mayhew Geoff Whittle Stefan H. M. van Zwam
+	The projective plane is a stabilizer	2009	Jim Geelen Geoff Whittle
+ PDF Chat	Tangles, tree-decompositions and grids in matroids	2009	Jim Geelen Bert Gerards Geoff Whittle
+	On excluded minors for real-representability	2009	Dillon Mayhew Mike Newman Geoff Whittle
+	The internally 4-connected binary matroids with no M(K3,3)-minor	2009	Dillon Mayhew Gordon Royle Geoff Whittle
+	Excluding Kuratowski graphs and their duals from binary matroids	2009	Dillon Mayhew Gordon Royle Geoff Whittle
+	An obstacle to a decomposition theorem for near-regular matroids	2009	Dillon Mayhew Geoff Whittle Stefan H. M. van Zwam
+	Excluding a planar graph from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">GF</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-representable matroids	2007	Jim Geelen Bert Gerards Geoff Whittle
+ PDF Chat	TOWARDS A MATROID-MINOR STRUCTURE THEORY	2007	Jim Geelen Bert Gerards Geoff Whittle
+	A correction to our paper "Branch-width and well-quasi-ordering in matroids and graphs"	2006	James F. Geelen Geoff Whittle
+	Towards a structure theory for matrices and matroids	2006	Jim Geelen Bert Gerards Geoff Whittle
+	Obstructions to branch-decomposition of matroids	2005	Jim Geelen Bert Gerards Neil Robertson Geoff Whittle
+	On Rota's conjecture and excluded minors containing large projective geometries	2005	Jim Geelen Bert Gerards Geoff Whittle
+	Recent work in matroid representation theory	2005	Geoff Whittle
+	Inequivalent representations of matroids having no U3,6-minor	2004	Jim Geelen Dillon Mayhew Geoff Whittle
+	Tangles, tree-decompositions, and grids in matroids	2004	Jim Geelen A.M.H. Gerards Geoff Whittle
+	Cliques in dense GF(q)-representable matroids	2003	James F. Geelen Geoff Whittle
+	Disjoint cocircuits in matroids with large rank	2003	James F. Geelen A.M.H. Gerards Geoff Whittle
+	Branch-Width and Rota's Conjecture	2002	James F. Geelen Geoff Whittle
+	Weak Maps and Stabilizers of Classes of Matroids	1998	James F. Geelen James Oxley Dirk Vertigan Geoff Whittle
+	On Inequivalent Representations of Matroids over Finite Fields	1996	James Oxley Dirk Vertigan Geoff Whittle
+	Partial Fields and Matroid Representation	1996	Charles Semple Geoff Whittle
+	A Characterization of the Matroids Representable over GF(3) and the Rationals	1995	Geoff Whittle
+	D-Dimensional hypercubes and the Euler and MacNeish conjectures	1995	Charles F. Laywine Gary L. Mullen Geoff Whittle
+	Oriented Matroids (A. Bjorner, M. Las Vergnas, B. Sturmfels, N. White, and G. Ziegler)	1994	Geoff Whittle
+	Some excluded-minor theorems for a class of polymatroids	1993	James Oxley Geoff Whittle
+	A Characterization of Tutte Invariants of 2-Polymatroids	1993	James Oxley Geoff Whittle
+	On sign-representable matroids	1993	James Oxley Geoff Whittle
+	Point sets with uniformity properties and orthogonal hypercubes	1992	Gary L. Mullen Geoff Whittle
+	Dowling group geometries and the critical problem	1989	Geoff Whittle
+	<i>q</i> -Lifts of Tangential <i>k</i> -Blocks	1989	Geoff Whittle
+	Modularity of tangential k-blocks	1987	Geoff Whittle

Common Coauthors

Coauthor	Papers Together
Dillon Mayhew	26
Jim Geelen	19
James Oxley	16
Nick Brettell	12
Charles Semple	11
Bert Gerards	11
Stefan H. M. van Zwam	9
Mike Newman	6
James F. Geelen	5
Ben Clark	5
Michael Newman	4
Gordon Royle	4
Susan Jowett	3
Deborah Chun	3
Alan Williams	3
Rong Chen	3
Songbao Mo	3
A.M.H. Gerards	2
Dominic Welsh	2
Stefan van Zwam	2
Reinhard Diestel	2
Dirk Vertigan	2
Kevin Grace	2
Aaron Williams	2
Gary L. Mullen	2
Rutger Campbell	2
Charles F. Laywine	1
Carolyn Chun	1
Sue Jowett	1
Benjamin F. Clark	1
Neil Robertson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A homotopy theorem for matroids. I	1958	W. T. Tutte	17
+	On Reid's characterization of the ternary matroids	1979	Robert E. Bixby	17
+	On Inequivalent Representations of Matroids over Finite Fields	1996	James Oxley Dirk Vertigan Geoff Whittle	11
+	Confinement of matroid representations to subsets of partial fields	2010	Rudi Pendavingh Stefan H. M. van Zwam	11
+	Solving Rota's Conjecture	2014	Jim Geelen Bert Gerards Geoff Whittle	10
+ PDF Chat	The excluded minors for near-regular matroids	2011	Rhiannon Hall Dillon Mayhew Stefan H. M. van Zwam	8
+ PDF Chat	A class of geometric lattices based on finite groups	1973	Thomas A. Dowling	8
+	Extremal matroid theory	1993	Joseph P. S. Kung	8
+	Graph minors. X. Obstructions to tree-decomposition	1991	Neil Robertson Paul Seymour	8
+	Branch-Width and Rota's Conjecture	2002	James F. Geelen Geoff Whittle	7
+	Excluding a planar graph from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">GF</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-representable matroids	2007	Jim Geelen Bert Gerards Geoff Whittle	7
+	Partial Fields and Matroid Representation	1996	Charles Semple Geoff Whittle	7
+ PDF Chat	Modular constructions for combinatorial geometries	1975	Tom Brylawski	7
+ PDF Chat	The Structure of $\{U_{2,5}, U_{3,5}\}$-Fragile Matroids	2016	Ben Clark Dillon Mayhew Stefan van Zwam Geoff Whittle	6
+	On Rota's conjecture and excluded minors containing large projective geometries	2005	Jim Geelen Bert Gerards Geoff Whittle	6
+	A Characterization of the Matroids Representable over GF(3) and the Rationals	1995	Geoff Whittle	6
+ PDF Chat	Tangles, tree-decompositions and grids in matroids	2009	Jim Geelen Bert Gerards Geoff Whittle	6
+ PDF Chat	The structure of crossing separations in matroids	2007	Jeremy Aikin James Oxley	5
+	On the Abstract Properties of Linear Dependence1	2009	Hassler Whitney	4
+	Graph Minors. XX. Wagner's conjecture	2004	Neil Robertson Paul Seymour	4
+ PDF Chat	N-detachable pairs in 3-connected matroids II: Life in X	2020	Nick Brettell Geoff Whittle Alan Williams	4
+	Lifts of matroid representations over partial fields	2009	Rudi Pendavingh Stefan H. M. van Zwam	4
+	N-detachable pairs in 3-connected matroids I: Unveiling X	2019	Nick Brettell Geoff Whittle Alan Williams	4
+	Cliques in dense GF(q)-representable matroids	2003	James F. Geelen Geoff Whittle	4
+	Homomorphieeigenschaften und mittlere Kantendichte von Graphen	1967	W. Mader	4
+	Inequivalent representations of matroids over prime fields	2013	Jim Geelen Geoff Whittle	4
+	Stability, fragility, and Rotaʼs Conjecture	2011	Dillon Mayhew Geoff Whittle Stefan H. M. van Zwam	4
+	Obstructions to branch-decomposition of matroids	2005	Jim Geelen Bert Gerards Neil Robertson Geoff Whittle	4
+ PDF Chat	A Combinatorial Decomposition Theory	1980	William H. Cunningham Jack Edmonds	3
+ PDF Chat	TOWARDS A MATROID-MINOR STRUCTURE THEORY	2007	Jim Geelen Bert Gerards Geoff Whittle	3
+	Geometric Algebra	1957	Emil Artin	3
+	Lectures on matroids	1965	W. T. Tutte	3
+	Recent work in matroid representation theory	2005	Geoff Whittle	3
+ PDF Chat	N-detachable pairs in 3-connected matroids III: The theorem	2021	Nick Brettell Geoff Whittle Alan Williams	3
+	The incidence structure of subspaces with well-scaled frames	1990	Jon Lee	3
+	A geometric approach to forbidden minors for GF(3)	1984	Jeff Kahn	3
+ PDF Chat	The branchwidth of graphs and their cycle matroids	2007	Illya V. Hicks Nolan Mcmurray	3
+	A short proof of Tutte's characterization of totally unimodular matrices	1989	A.M.H. Gerards	3
+ PDF Chat	A note on primitive skew curves	1943	Dick Wick Hall	3
+	The Missing Axiom of Matroid Theory is Lost Forever	1978	Péter Vámos	3
+	Disjoint cocircuits in matroids with large rank	2003	James F. Geelen A.M.H. Gerards Geoff Whittle	3
+ PDF Chat	IS THE MISSING AXIOM OF MATROID THEORY LOST FOREVER?	2014	Dillon Mayhew Geoff Whittle Michael Newman	3
+	THE LONG-LINE GRAPH OF A COMBINATORIAL GEOMETRY. I. EXCLUDING <i>M</i>(<i>K</i><sub>4</sub>) AND THE (<i>q</i> + 2)-POINT LINE AS MINORS	1988	Joseph P. S. Kung	2
+ PDF Chat	A decomposition for combinatorial geometries	1972	Thomas Brylawski	2
+ PDF Chat	Weak maps of combinatorial geometries	1975	Dean Lucas	2
+ PDF Chat	Fan-Extensions in Fragile Matroids	2015	Carolyn Chun Deborah Chun Dillon Mayhew Stefan H. M. van Zwam	2
+	Polymatroids and polyquantoids	2012	František Matúš	2
+	Representation of matroids	2002	Massimiliano Lunelli Antonio Laface	2
+	A note on the production of matroid minors	1977	Paul Seymour	2
+	Projective geometries in dense matroids	2008	Jim Geelen Kasper Kabell	2