Iain Moffatt

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All published works

Action	Title	Year	Authors
+ PDF Chat	A coarse Tutte polynomial for hypermaps	2024	Joanna A. Ellis-Monaghan Iain Moffatt Steven D. Noble
+	Deletion–contraction and the surface Tutte polynomial	2024	Iain Moffatt Maya Thompson
+	From matrix pivots to graphs in surfaces: exploring combinatorics through partial duals	2023	Iain Moffatt
+	The critical group of a combinatorial map	2023	Criel Merino Iain Moffatt Steven D. Noble
+	Tensor products of multimatroids and a Brylawski-type formula for the transition polynomial	2023	Iain Moffatt Steven D. Noble Maya Thompson
+ PDF Chat	Irreducibility of the Tutte polynomial of an embedded graph	2022	Joanna A. Ellis-Monaghan Andrew Goodall Iain Moffatt Steven D. Noble Lluís Vena
+	Handbook of the Tutte Polynomial and Related Topics	2022	Joanna A. Ellis-Monaghan Iain Moffatt
+	Skein polynomials and the Tutte polynomial when x = y	2022	Joanna A. Ellis-Monaghan Iain Moffatt
+	The Tutte polynomial for graphs	2022	Joanna A. Ellis-Monaghan Iain Moffatt
+	Deletion-Contraction and the Surface Tutte Polynomial	2022	Iain Moffatt Maya Thompson
+ PDF Chat	A 2-isomorphism theorem for delta-matroids	2020	Iain Moffatt Jaeseong Oh
+	A 2-isomorphism theorem for delta-matroids	2019	Iain Moffatt Jaeseong Oh
+ PDF Chat	Types of embedded graphs and their Tutte polynomials	2019	Stephen Huggett Iain Moffatt
+	Delta-matroids for graph theorists	2019	Iain Moffatt
+	Matroids, delta-matroids and embedded graphs	2019	Carolyn Chun Iain Moffatt Steven D. Noble Ralf Rueckriemen
+	Vassiliev Invariants of Framed Knots	2019	D. M. Jackson Iain Moffatt
+	Jacobi Diagrams on a 1-Manifold	2019	D. M. Jackson Iain Moffatt
+	R-Matrix Representations of $$\mathfrak {B}_n$$	2019	D. M. Jackson Iain Moffatt
+	The Fundamentals of Vassiliev Invariants	2019	D. M. Jackson Iain Moffatt
+	Lie Algebra Weight Systems	2019	D. M. Jackson Iain Moffatt
+	Knot and Link Invariants	2019	D. M. Jackson Iain Moffatt
+	A Construction of the Kontsevich Invariant	2019	D. M. Jackson Iain Moffatt
+	Reshetikhin–Turaev Invariants	2019	D. M. Jackson Iain Moffatt
+	Braids and the Braid Group	2019	D. M. Jackson Iain Moffatt
+	Ribbon Hopf Algebras	2019	D. M. Jackson Iain Moffatt
+	Knot Invariants Through R-Matrix Representations of $$\mathfrak {B}_n$$	2019	D. M. Jackson Iain Moffatt
+	q-Tangles	2019	David M. Jackson Iain Moffatt
+	Knots	2019	David Michael Jackson Iain Moffatt
+	Operator Invariants	2019	D. M. Jackson Iain Moffatt
+	Jacobi Diagrams	2019	David Michael Jackson Iain Moffatt
+	A 2-isomorphism theorem for delta-matroids	2019	Iain Moffatt Jaeseong Oh
+ PDF Chat	On the interplay between embedded graphs and delta-matroids	2018	Carolyn Chun Iain Moffatt Steven D. Noble Ralf Rueckriemen
+	Edge colourings and topological graph polynomials	2018	Joanna A. Ellis-Monaghan Louis H. Kauffman Iain Moffatt
+ PDF Chat	Hopf algebras and Tutte polynomials	2018	Thomas Krajewski Iain Moffatt Adrian Tanasă
+	The Structure of Delta-Matroids with Width One Twists	2018	Carolyn Chun Rhiannon Hall Criel Merino Iain Moffatt Steven D. Noble
+	Edge colourings and topological graph polynomials	2018	Joanna A. Ellis-Monaghan Louis H. Kauffman Iain Moffatt
+	Preface: Special issue on the Tutte polynomial	2017	Joanna A. Ellis Monaghan Joseph P. S. Kung Iain Moffatt
+	Matroidal frameworks for topological Tutte polynomials	2017	Iain Moffatt Ben Smith
+	The structure of delta-matroids with width one twists	2017	Carolyn Chun Rhiannon Hall Criel Merino Iain Moffatt Steven D. Noble
+	Handle slides for delta-matroids	2016	Iain Moffatt Eunice Mphako-Banda
+ PDF Chat	Ribbon Graph Minors and Low-Genus Partial Duals	2016	Iain Moffatt
+	of links in real projective space	2016	Iain Moffatt Johanna Strömberg
+	Non-peripheral ideal decompositions of alternating knots	2016	Stavros Garoufalidis Iain Moffatt Dylan P. Thurston
+ PDF Chat	On the ribbon graphs of links in real projective space	2016	Iain Moffatt Johanna Strömberg
+	An extension of the Bollobás-Riordan polynomial for vertex partitioned ribbon graphs: definition and universality	2015	Thomas Krajewski Iain Moffatt Adrian Tanasă
+	Combinatorial Hopf algebras and topological Tutte polynomials	2015	Thomas Krajewski Iain Moffatt Adrian Tanasă
+ PDF Chat	Hopf algebras and Tutte polynomials	2015	Thomas Krajewski Iain Moffatt Adrian Tanasă
+	The Las Vergnas polynomial for embedded graphs	2015	Joanna A. Ellis-Monaghan Iain Moffatt
+ PDF Chat	Excluded Minors and the Ribbon Graphs of Knots	2015	Iain Moffatt
+	On the ribbon graphs of links in real projective space	2015	Iain Moffatt Johanna Strömberg
+	Ribbon graph minors and low-genus partial duals	2015	Iain Moffatt
+	Ribbon graph minors and low-genus partial duals	2015	Iain Moffatt
+	On the ribbon graphs of links in real projective space	2015	Iain Moffatt Johanna Strömberg
+ PDF Chat	A note on recognizing an old friend in a new place: list coloring and the zero-temperature Potts model	2014	Joanna A. Ellis-Monaghan Iain Moffatt
+ PDF Chat	Evaluations of Topological Tutte Polynomials	2014	Joanna A. Ellis-Monaghan Iain Moffatt
+ PDF Chat	DNA origami and the complexity of Eulerian circuits with turning costs	2014	Joanna A. Ellis-Monaghan Andrew McDowell Iain Moffatt Greta Pangborn
+	Graphs on surfaces: dualities, polynomials, and knots	2014	Joanna A. Ellis-Monaghan Iain Moffatt
+ PDF Chat	The Potts model and chromatic functions of graphs	2014	Martin Klazar Martin Loebl Iain Moffatt
+	Matroids, Delta-matroids and Embedded Graphs	2014	Carolyn Chun Iain Moffatt Steven D. Noble Ralf Rueckriemen
+	The Las Vergnas Polynomial for embedded graphs	2013	Joanna A. Ellis-Monaghan Iain Moffatt
+	Excluded minors and the ribbon graphs of knots	2013	Iain Moffatt
+ PDF Chat	Bipartite partial duals and circuits in medial graphs	2013	Stephen Huggett Iain Moffatt
+	Applications to Knot Theory	2013	Joanna A. Ellis-Monaghan Iain Moffatt
+	Graphs on Surfaces	2013	Joanna A. Ellis-Monaghan Iain Moffatt
+	Interactions with Graph Polynomials	2013	Joanna A. Ellis-Monaghan Iain Moffatt
+	Generalised Dualities	2013	Joanna A. Ellis-Monaghan Iain Moffatt
+	The Las Vergnas Polynomial for embedded graphs	2013	Joanna A. Ellis-Monaghan Iain Moffatt
+	Excluded minors and the ribbon graphs of knots	2013	Iain Moffatt
+ PDF Chat	A Penrose polynomial for embedded graphs	2012	Joanna A. Ellis-Monaghan Iain Moffatt
+	Separability and the genus of a partial dual	2012	Iain Moffatt
+ PDF Chat	Partial duals of plane graphs, separability and the graphs of knots	2012	Iain Moffatt
+ PDF Chat	On the Seifert graphs of a link diagram and its parallels	2012	Stephen Huggett Iain Moffatt NATALIA VIRDEE
+ PDF Chat	On the Potts Model Partition Function in an External Field	2012	Leslie M. McDonald Iain Moffatt
+ PDF Chat	Twisted duality for embedded graphs	2011	Joanna A. Ellis-Monaghan Iain Moffatt
+ PDF Chat	Expansions for the Bollobás-Riordan Polynomial of Separable Ribbon Graphs	2011	Stephen Huggett Iain Moffatt
+	Partial duals of graphs embedded in the real projective plane	2011	Iain Moffatt
+	Evaluations of topological Tutte polynomials	2011	Joanna A. Ellis-Monaghan Iain Moffatt
+	Spanning trees and expansions for the Potts model partition function in an external field	2011	Leslie M. McDonald Iain Moffatt
+	The Tutte–Potts connection in the presence of an external magnetic field	2011	Joanna A. Ellis-Monaghan Iain Moffatt
+ PDF Chat	A permanent formula for the Jones polynomial	2011	Martin Loebl Iain Moffatt
+ PDF Chat	Unsigned State Models for the Jones Polynomial	2011	Iain Moffatt
+	Evaluations of topological Tutte polynomials	2011	Joanna A. Ellis-Monaghan Iain Moffatt
+ PDF Chat	A characterization of partially dual graphs	2010	Iain Moffatt
+ PDF Chat	A NEW PROOF THAT ALTERNATING LINKS ARE NON-TRIVIAL	2010	Iain Moffatt
+	Partial duality and Bollobás and Riordan’s ribbon graph polynomial	2009	Iain Moffatt
+	Twisted duality and polynomials of embedded graphs	2009	Joanna A. Ellis-Monaghan Iain Moffatt
+	The chromatic polynomial of fatgraphs and its categorification	2008	Martin Loebl Iain Moffatt
+ PDF Chat	ON THE GROUP-LIKE BEHAVIOR OF THE LE–MURAKAMI–OHTSUKI INVARIANT	2007	D. M. Jackson Iain Moffatt Alejandro H. Morales
+	Knot invariants and the Bollobás–Riordan polynomial of embedded graphs	2007	Iain Moffatt
+	On the HOMFLY and Tutte polynomials	2007	Iain Moffatt
+ PDF Chat	THE ÅRHUS INTEGRAL AND THE μ-INVARIANTS	2006	Iain Moffatt
+	Integration and conjugacy in knot theory	2005	Iain Moffatt

Common Coauthors

Coauthor	Papers Together
Joanna A. Ellis-Monaghan	24
D. M. Jackson	13
Steven D. Noble	9
Carolyn Chun	5
Adrian Tanasă	4
Johanna Strömberg	4
Thomas Krajewski	4
Stephen Huggett	4
Martin Loebl	3
Ralf Rueckriemen	3
Maya Thompson	3
Criel Merino	3
Leslie M. McDonald	2
Jaeseong Oh	2
David Michael Jackson	2
Louis H. Kauffman	2
Rhiannon Hall	2
Andrew McDowell	1
Jaeseong Oh	1
Stavros Garoufalidis	1
Joanna A. Ellis Monaghan	1
Dylan P. Thurston	1
David M. Jackson	1
Martin Klazar	1
Alejandro H. Morales	1
Eunice Mphako-Banda	1
Joseph P. S. Kung	1
Ben Smith	1
Greta Pangborn	1
NATALIA VIRDEE	1
Andrew Goodall	1
Lluís Vena	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	None	2002	Béla Bollobás Oliver Riordan	31
+	Generalized duality for graphs on surfaces and the signed Bollobás–Riordan polynomial	2008	Sergei Chmutov	29
+	The Jones polynomial and graphs on surfaces	2007	Oliver T. Dasbach David Futer Efstratia Kalfagianni Xiao-Song Lin Neal W. Stoltzfus	23
+	Knot invariants and the Bollobás–Riordan polynomial of embedded graphs	2007	Iain Moffatt	23
+	A Polynomial Invariant of Graphs On Orientable Surfaces	2001	Béla Bollobás Oliver Riordan	22
+ PDF Chat	Twisted duality for embedded graphs	2011	Joanna A. Ellis-Monaghan Iain Moffatt	18
+ PDF Chat	THISTLETHWAITE'S THEOREM FOR VIRTUAL LINKS	2008	Sergei Chmutov Jeremy Voltz	18
+ PDF Chat	The Kauffman Bracket of Virtual Links and the Bollobás–Riordan Polynomial	2007	Sergei Chmutov Igor Pak	18
+ PDF Chat	Unsigned State Models for the Jones Polynomial	2011	Iain Moffatt	16
+	A recipe theorem for the topological Tutte polynomial of Bollobás and Riordan	2011	Joanna A. Ellis-Monaghan Irasema Sarmiento	15
+ PDF Chat	Partial duals of plane graphs, separability and the graphs of knots	2012	Iain Moffatt	14
+	Separability and the genus of a partial dual	2012	Iain Moffatt	14
+	A spanning tree expansion of the jones polynomial	1987	Morwen Thistlethwaite	14
+	The Penrose polynomial of a plane graph	1997	Martin Aigner	13
+	Graphs on Surfaces	2013	Joanna A. Ellis-Monaghan Iain Moffatt	13
+ PDF Chat	A dichromatic polynomial for weighted graphs and link polynomials	1989	Lorenzo Traldi	12
+ PDF Chat	A characterization of partially dual graphs	2010	Iain Moffatt	12
+	Graphs on surfaces: dualities, polynomials, and knots	2014	Joanna A. Ellis-Monaghan Iain Moffatt	12
+	Partial duality and Bollobás and Riordan’s ribbon graph polynomial	2009	Iain Moffatt	12
+ PDF Chat	Polynomial invariants of graphs on surfaces	2012	Ross Askanazi Sergei Chmutov Charles Estill Jonathan Michel Patrick Stollenwerk	11
+	On the Tutte Polynomial of a Morphism of Matroids	1980	Michel Las Vergnas	11
+ PDF Chat	Non-orientable quasi-trees for the Bollobás–Riordan polynomial	2011	Fabien Vignes-Tourneret	11
+ PDF Chat	The multivariate signed Bollobás–Riordan polynomial	2009	Fabien Vignes-Tourneret	10
+	The Kauffman bracket of virtual links and the Bollobás-Riordan polynomial	2006	Sergei Chmutov Igor Pak	10
+	The chromatic polynomial of fatgraphs and its categorification	2008	Martin Loebl Iain Moffatt	10
+ PDF Chat	ALTERNATING SUM FORMULAE FOR THE DETERMINANT AND OTHER LINK INVARIANTS	2010	Oliver T. Dasbach David Futer Efstratia Kalfagianni Xiao-Song Lin Neal W. Stoltzfus	10
+ PDF Chat	On the Vassiliev knot invariants	1995	Dror Bar-Natan	10
+ PDF Chat	Tutte polynomials and link polynomials	1988	François Jaeger	10
+ PDF Chat	Evaluations of Topological Tutte Polynomials	2014	Joanna A. Ellis-Monaghan Iain Moffatt	10
+ PDF Chat	A Penrose polynomial for embedded graphs	2012	Joanna A. Ellis-Monaghan Iain Moffatt	9
+	A ring in graph theory	1947	W. T. Tutte	9
+	The Penrose Polynomial of Binary Matroids	2000	Martin Aigner Hans Mielke	8
+	On Transition Polynomials of 4-Regular Graphs	1990	François Jaeger	8
+ PDF Chat	On the interplay between embedded graphs and delta-matroids	2018	Carolyn Chun Iain Moffatt Steven D. Noble Ralf Rueckriemen	8
+ PDF Chat	Graphs, Links, and Duality on Surfaces	2010	Vyacheslav Krushkal	8
+ PDF Chat	Graphs on surfaces and Khovanov homology	2007	Abhijit Champanerkar Ilya Kofman Neal W. Stoltzfus	8
+ PDF Chat	Hopf algebras and Tutte polynomials	2018	Thomas Krajewski Iain Moffatt Adrian Tanasă	8
+	The group structure of pivot and loop complementation on graphs and set systems	2011	Robert Brijder Hendrik Jan Hoogeboom	8
+	State models and the jones polynomial	1987	Louis H. Kauffman	8
+ PDF Chat	Graph Polynomials and Their Applications I: The Tutte Polynomial	2010	Joanna A. Ellis-Monaghan Criel Merino	8
+ PDF Chat	The multivariate Tutte polynomial (alias Potts model) for graphs and matroids	2005	Alan D. Sokal	7
+	The Tutte polynomial	1969	Henry Crapo	7
+ PDF Chat	On the Seifert graphs of a link diagram and its parallels	2012	Stephen Huggett Iain Moffatt NATALIA VIRDEE	7
+ PDF Chat	On knot Floer width and Turaev genus	2008	Adam M. Lowrance	7
+ PDF Chat	QUASI-ALTERNATING MONTESINOS LINKS	2009	Tamara Widmer	7
+	Matroids, Delta-matroids and Embedded Graphs	2014	Carolyn Chun Iain Moffatt Steven D. Noble Ralf Rueckriemen	7
+ PDF Chat	A polynomial invariant for knots via von Neumann algebras	1985	Vaughan F. R. Jones	7
+	The Turaev genus of an adequate knot	2009	Tetsuya Abe	7
+ PDF Chat	Turaev genus, knot signature, and the knot homology concordance invariants	2010	Oliver T. Dasbach Adam M. Lowrance	7
+ PDF Chat	Expansions for the Bollobás-Riordan Polynomial of Separable Ribbon Graphs	2011	Stephen Huggett Iain Moffatt	7