Paul D. Seymour

Orcid: 0000-0003-0067-4534

Affiliations:
  • Princeton University, Department of Mathematics, NJ, USA


According to our database1, Paul D. Seymour authored at least 257 papers between 1977 and 2025.

Collaborative distances:
  • Dijkstra number2 of three.
  • Erdős number3 of two.

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Bibliography

2025
Induced subgraph density. II. Sparse and dense sets in cographs.
Eur. J. Comb., 2025

2024
Pure Pairs. VIII. Excluding a Sparse Graph.
Comb., December, 2024

Bounded-Diameter Tree-Decompositions.
Comb., June, 2024

A Note on the Gyárfás-Sumner Conjecture.
Graphs Comb., April, 2024

Pure Pairs. IX. Transversal Trees.
SIAM J. Discret. Math., March, 2024

Cops and Robbers on \(\boldsymbol{P_5}\)-Free Graphs.
SIAM J. Discret. Math., March, 2024

On a problem of El-Zahar and Erdős.
J. Comb. Theory B, March, 2024

Polynomial bounds for chromatic number. V. Excluding a tree of radius two and a complete multipartite graph.
J. Comb. Theory B, January, 2024

Induced paths in graphs without anticomplete cycles.
J. Comb. Theory B, January, 2024

Bipartite graphs with no <i>K</i><sub>6</sub> minor.
J. Comb. Theory B, January, 2024

Pure pairs. X. Tournaments and the strong Erdős-Hajnal property.
Eur. J. Comb., January, 2024

Induced Subgraphs of Bounded Treewidth and the Container Method.
SIAM J. Comput., 2024

Graphs with all holes the same length.
J. Comb. Theory B, 2024

Clique covers of H-free graphs.
Eur. J. Comb., 2024

2023
Polynomial bounds for chromatic number VII. Disjoint holes.
J. Graph Theory, November, 2023

Strengthening Rödl's theorem.
J. Comb. Theory B, November, 2023

Polynomial Bounds for Chromatic Number. IV: A Near-polynomial Bound for Excluding the Five-vertex Path.
Comb., October, 2023

Proof of a conjecture of Plummer and Zha.
J. Graph Theory, July, 2023

Pure pairs. VII. Homogeneous submatrices in 0/1-matrices with a forbidden submatrix.
J. Comb. Theory B, July, 2023

Pure pairs. IV. Trees in bipartite graphs.
J. Comb. Theory B, July, 2023

Even-hole-free graphs still have bisimplicial vertices.
J. Comb. Theory B, July, 2023

Pure Pairs. V. Excluding Some Long Subdivision.
Comb., June, 2023

Polynomial bounds for chromatic number VI. Adding a four-vertex path.
Eur. J. Comb., May, 2023

Polynomial bounds for chromatic number. I. Excluding a biclique and an induced tree.
J. Graph Theory, 2023

Cops and robbers on P<sub>5</sub>-free graphs.
CoRR, 2023

2022
Pure Pairs VI: Excluding an Ordered Tree.
SIAM J. Discret. Math., 2022

Polynomial bounds for chromatic number. III. Excluding a double star.
J. Graph Theory, 2022

Polynomial bounds for chromatic number II: Excluding a star-forest.
J. Graph Theory, 2022

Detecting a long even hole.
Eur. J. Comb., 2022

Concatenating Bipartite Graphs.
Electron. J. Comb., 2022

2021
Finding a Shortest Odd Hole.
ACM Trans. Algorithms, 2021

Induced subgraphs of graphs with large chromatic number. V. Chandeliers and strings.
J. Comb. Theory B, 2021

Erdős-Hajnal for cap-free graphs.
J. Comb. Theory B, 2021

A note on simplicial cliques.
Discret. Math., 2021

New examples of minimal non-strongly-perfect graphs.
Discret. Math., 2021

Finding an induced path that is not a shortest path.
Discret. Math., 2021

Pure Pairs. II. Excluding All Subdivisions of A Graph.
Comb., 2021

Detecting a Long Odd Hole.
Comb., 2021

2020
A survey of χ-boundedness.
J. Graph Theory, 2020

Pure pairs. III. Sparse graphs with no polynomial-sized anticomplete pairs.
J. Graph Theory, 2020

Induced subgraphs of graphs with large chromatic number. VI. Banana trees.
J. Comb. Theory B, 2020

Induced subgraphs of graphs with large chromatic number. VII. Gyárfás' complementation conjecture.
J. Comb. Theory B, 2020

Corrigendum to "Bisimplicial vertices in even-hole-free graphs".
J. Comb. Theory B, 2020

Induced subgraphs of graphs with large chromatic number. VIII. Long odd holes.
J. Comb. Theory, Ser. B, 2020

Detecting an Odd Hole.
J. ACM, 2020

Induced subgraphs of graphs with large chromatic number. XIII. New brooms.
Eur. J. Comb., 2020

Excluding the fork and antifork.
Discret. Math., 2020

Short Directed Cycles in Bipartite Digraphs.
Comb., 2020

2019
Bad news for chordal partitions.
J. Graph Theory, 2019

Induced subgraphs of graphs with large chromatic number. XII. Distant stars.
J. Graph Theory, 2019

Excluded minors in cubic graphs.
J. Comb. Theory B, 2019

Near-domination in graphs.
J. Comb. Theory A, 2019

Caterpillars in Erdős-Hajnal.
J. Comb. Theory B, 2019

Disjoint paths in unions of tournaments.
J. Comb. Theory B, 2019

Induced subgraphs of graphs with large chromatic number. XI. Orientations.
Eur. J. Comb., 2019

Large rainbow matchings in general graphs.
Eur. J. Comb., 2019

H-colouring Pt-free graphs in subexponential time.
Discret. Appl. Math., 2019

Induced Subgraphs of Graphs With Large Chromatic Number. X. Holes of Specific Residue.
Comb., 2019

Girth Six Cubic Graphs Have Petersen Minors.
Comb., 2019

Clustered Colouring in Minor-Closed Classes.
Comb., 2019

Towards Erdős-Hajnal for Graphs with No 5-Hole.
Comb., 2019

2018
Induced subgraphs of graphs with large chromatic number. IV. Consecutive holes.
J. Comb. Theory B, 2018

Corrigendum to "Even pairs and prism corners in square-free Berge graphs" [J. Combin. Theory, Ser. B 131 (2018) 12-39].
J. Comb. Theory B, 2018

Even pairs and prism corners in square-free Berge graphs.
J. Comb. Theory B, 2018

Domination in tournaments.
J. Comb. Theory B, 2018

Triangle-free graphs with no six-vertex induced path.
Discret. Math., 2018

2017
Cyclically five-connected cubic graphs.
J. Comb. Theory B, 2017

Rooted grid minors.
J. Comb. Theory B, 2017

Colouring perfect graphs with bounded clique number.
J. Comb. Theory B, 2017

Induced Subgraphs of Graphs with Large Chromatic Number IX: Rainbow Paths.
Electron. J. Comb., 2017

Majority Colourings of Digraphs.
Electron. J. Comb., 2017

Induced Subgraphs of Graphs with Large Chromatic Number. III. Long Holes.
Comb., 2017

2016
Tree-chromatic number.
J. Comb. Theory B, 2016

Induced subgraphs of graphs with large chromatic number. I. Odd holes.
J. Comb. Theory B, 2016

Three-edge-colouring doublecross cubic graphs.
J. Comb. Theory B, 2016

Induced subgraphs of graphs with large chromatic number. II. Three steps towards Gyárfás' conjectures.
J. Comb. Theory B, 2016

Unavoidable induced subgraphs in large graphs with no homogeneous sets.
J. Comb. Theory B, 2016

Bipartite minors.
J. Comb. Theory B, 2016

Disjoint dijoins.
J. Comb. Theory B, 2016

Immersion in four-edge-connected graphs.
J. Comb. Theory B, 2016

Hadwiger's Conjecture.
Proceedings of the Open Problems in Mathematics., 2016

2015
A Relative of Hadwiger's Conjecture.
SIAM J. Discret. Math., 2015

Excluding a Substar and an Antisubstar.
SIAM J. Discret. Math., 2015

Criticality for multicommodity flows.
J. Comb. Theory B, 2015

Tree-width and planar minors.
J. Comb. Theory B, 2015

Tournament minors.
J. Comb. Theory B, 2015

Edge-disjoint paths in digraphs with bounded independence number.
J. Comb. Theory B, 2015

Edge-colouring eight-regular planar graphs.
J. Comb. Theory B, 2015

Edge-colouring seven-regular planar graphs.
J. Comb. Theory B, 2015

Wheel-free planar graphs.
Eur. J. Comb., 2015

Excluding A Grid Minor In Planar Digraphs.
CoRR, 2015

Excluding paths and antipaths.
Comb., 2015

2014
Excluding pairs of graphs.
J. Comb. Theory B, 2014

Rao's degree sequence conjecture.
J. Comb. Theory B, 2014

Extending the Gyárfás-Sumner conjecture.
J. Comb. Theory B, 2014

Tournaments with near-linear transitive subsets.
J. Comb. Theory B, 2014

Proof of a conjecture of Bowlin and Brin on four-colouring triangulations.
Eur. J. Comb., 2014

Discharging cartwheels.
CoRR, 2014

Reducibility in the Four-Color Theorem.
CoRR, 2014

2013
A Local Strengthening of Reed's Omega, Delta, Chi Conjecture for Quasi-line Graphs.
SIAM J. Discret. Math., 2013

A counterexample to a conjecture of Schwartz.
Soc. Choice Welf., 2013

Tournament pathwidth and topological containment.
J. Comb. Theory B, 2013

Detecting an induced net subdivision.
J. Comb. Theory B, 2013

Tournaments and colouring.
J. Comb. Theory B, 2013

2012
Analyzing the Performance of Greedy Maximal Scheduling via Local Pooling and Graph Theory.
IEEE/ACM Trans. Netw., 2012

Growing Without Cloning.
SIAM J. Discret. Math., 2012

Graph Minors. XXII. Irrelevant vertices in linkage problems.
J. Comb. Theory B, 2012

Claw-free graphs. VII. Quasi-line graphs.
J. Comb. Theory B, 2012

Three-colourable perfect graphs without even pairs.
J. Comb. Theory B, 2012

Tournament immersion and cutwidth.
J. Comb. Theory B, 2012

Perfect matchings in planar cubic graphs.
Comb., 2012

Packing seagulls.
Comb., 2012

Finding minimum clique capacity.
Comb., 2012

2011
A well-quasi-order for tournaments.
J. Comb. Theory B, 2011

The edge-density for K<sub>2, t</sub> minors.
J. Comb. Theory B, 2011

A local strengthening of Reed's ω, Δ, χ conjecture for quasi-line graphs
CoRR, 2011

2010
Graph minors XXIII. Nash-Williams' immersion conjecture.
J. Comb. Theory B, 2010

Claw-free graphs VI. Colouring.
J. Comb. Theory B, 2010

K<sub>4</sub>-free graphs with no odd holes.
J. Comb. Theory B, 2010

Counting paths in digraphs.
Eur. J. Comb., 2010

The three-in-a-tree problem.
Comb., 2010

2009
Graph minors. XXI. Graphs with unique linkages.
J. Comb. Theory B, 2009

On the odd-minor variant of Hadwiger's conjecture.
J. Comb. Theory B, 2009

Even pairs in Berge graphs.
J. Comb. Theory B, 2009

2008
Claw-free graphs. V. Global structure.
J. Comb. Theory B, 2008

Claw-free graphs. IV. Decomposition theorem.
J. Comb. Theory B, 2008

Claw-free graphs. III. Circular interval graphs.
J. Comb. Theory B, 2008

Claw-free graphs. II. Non-orientable prismatic graphs.
J. Comb. Theory B, 2008

Solution of three problems of Cornuéjols.
J. Comb. Theory B, 2008

Bisimplicial vertices in even-hole-free graphs.
J. Comb. Theory B, 2008

Cycles in dense digraphs.
Comb., 2008

2007
Testing branch-width.
J. Comb. Theory B, 2007

Claw-free graphs. I. Orientable prismatic graphs.
J. Comb. Theory B, 2007

The roots of the independence polynomial of a clawfree graph.
J. Comb. Theory B, 2007

Testing for a theta.
Proceedings of the Eighteenth Annual ACM-SIAM Symposium on Discrete Algorithms, 2007

2006
Approximating clique-width and branch-width.
J. Comb. Theory B, 2006

Proper minor-closed families are small.
J. Comb. Theory B, 2006

Solution of two fractional packing problems of Lovász.
Discret. Math., 2006

Packing Non-Zero A-Paths In Group-Labelled Graphs.
Comb., 2006

Certifying large branch-width.
Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms, 2006

2005
Detecting even holes.
J. Graph Theory, 2005

Recognizing Berge Graphs.
Comb., 2005

The structure of claw-free graphs.
Proceedings of the Surveys in Combinatorics, 2005

2004
Graph Minors. XIX. Well-quasi-ordering on a surface.
J. Comb. Theory B, 2004

Graph Minors. XX. Wagner's conjecture.
J. Comb. Theory B, 2004

Excluding any graph as a minor allows a low tree-width 2-coloring.
J. Comb. Theory B, 2004

Hadwiger's conjecture for line graphs.
Eur. J. Comb., 2004

2003
Progress on perfect graphs.
Math. Program., 2003

Graph Minors. XVIII. Tree-decompositions and well-quasi-ordering.
J. Comb. Theory B, 2003

Graph Minors. XVI. Excluding a non-planar graph.
J. Comb. Theory B, 2003

Extending partial 3-colourings in a planar graph.
J. Comb. Theory B, 2003

Tour Merging via Branch-Decomposition.
INFORMS J. Comput., 2003

2002
Coloring Locally Bipartite Graphs on Surfaces.
J. Comb. Theory B, 2002

Colouring Eulerian Triangulations.
J. Comb. Theory B, 2002

2001
Spanning trees with many leaves.
J. Graph Theory, 2001

Directed Tree-Width.
J. Comb. Theory B, 2001

Node Placement and Sizing for Copper Broadband Access Networks.
Ann. Oper. Res., 2001

2000
Long cycles in critical graphs.
J. Graph Theory, 2000

1999
The Ring Loading Problem.
SIAM Rev., 1999

Graph Minors: XVII. Taming a Vortex.
J. Comb. Theory B, 1999

1998
A Petersen on a Pentagon.
J. Comb. Theory B, 1998

A Note on List Arboricity.
J. Comb. Theory B, 1998

Fractional Colouring and Hadwiger's Conjecture.
J. Comb. Theory B, 1998

AETGSM Web: A Web Based Service for Automatic Efficient Test Generation from Functional Requirements.
Proceedings of the 2nd Workshop on Industrial-Strength Formal Specification Techniques (WIFT '98), 1998

1997
Two Chromatic Polynomial Conjectures.
J. Comb. Theory B, 1997

Tutte's Edge-Colouring Conjecture.
J. Comb. Theory B, 1997

The Four-Colour Theorem.
J. Comb. Theory B, 1997

Permanents, Pfaffian Orientations, and Even Directed Circuits (Extended Abstract).
Proceedings of the Twenty-Ninth Annual ACM Symposium on the Theory of Computing, 1997

1996
Uniqueness of highly representative surface embeddings.
J. Graph Theory, 1996

Graph Minors: XV. Giant Steps.
J. Comb. Theory, Ser. B, 1996

Irreducible Triangulations of Surfaces.
J. Comb. Theory, Ser. B, 1996

Packing Circuits in Eulerian Digraphs.
Comb., 1996

Packing Directed Circuits.
Comb., 1996

Efficiently Four-Coloring Planar Graphs.
Proceedings of the Twenty-Eighth Annual ACM Symposium on the Theory of Computing, 1996

1995
Sachs' Linkless Embedding Conjecture.
J. Comb. Theory B, 1995

Petersen Family Minors.
J. Comb. Theory B, 1995

Kuratowski Chains.
J. Comb. Theory B, 1995

Graph Minors .XIII. The Disjoint Paths Problem.
J. Comb. Theory B, 1995

Graph Minors .XII. Distance on a Surface.
J. Comb. Theory B, 1995

Graph Minors .XIV. Extending an Embedding.
J. Comb. Theory B, 1995

Packing Directed Circuits Fractionally.
Comb., 1995

1994
Planar Separators.
SIAM J. Discret. Math., 1994

The Complexity of Multiterminal Cuts.
SIAM J. Comput., 1994

A Note on Hyperplane Generation.
J. Comb. Theory B, 1994

Packing Odd Paths.
J. Comb. Theory B, 1994

Quickly Excluding a Planar Graph.
J. Comb. Theory B, 1994

Graph Minors. XI. Circuits on a Surface.
J. Comb. Theory B, 1994

Circular embeddings of planar graphs in nonspherical surfaces.
Discret. Math., 1994

Call Routing and the Ratcatcher.
Comb., 1994

Bounding the Vertex Cover Number of a Hypergraph.
Comb., 1994

1993
Graph Searching and a Min-Max Theorem for Tree-Width.
J. Comb. Theory B, 1993

Disjoint Cycles in Directed Graphs on the Torus and the Klein Bottle.
J. Comb. Theory B, 1993

Hadwiger's conjecture for K <sub>6</sub>-free graphs.
Comb., 1993

On the fractional matching polytope of a hypergraph.
Comb., 1993

1992
Disjoint Paths in a Planar Graph - A General Theorem.
SIAM J. Discret. Math., 1992

On secret-sharing matroids.
J. Comb. Theory B, 1992

Directed triangles in directed graphs.
Discret. Math., 1992

A fractional version of the Erdös-Faber-Lovász conjecture.
Comb., 1992

The Complexity of Multiway Cuts (Extended Abstract)
Proceedings of the 24th Annual ACM Symposium on Theory of Computing, 1992

1991
A simpler proof and a generalization of the zero-trees theorem.
J. Comb. Theory A, 1991

Graph minors. X. Obstructions to tree-decomposition.
J. Comb. Theory B, 1991

Quickly excluding a forest.
J. Comb. Theory B, 1991

Monotonicity in Graph Searching.
J. Algorithms, 1991

An end-faithful spanning tree counterexample.
Discret. Math., 1991

Excluding infinite minors.
Discret. Math., 1991

Directed circuits on a torus.
Comb., 1991

Structural descriptions of lower ideals of trees.
Proceedings of the Graph Structure Theory, 1991

A survey of linkless embeddings.
Proceedings of the Graph Structure Theory, 1991

Excluding a graph with one crossing.
Proceedings of the Graph Structure Theory, 1991

Finding disjoint trees in planar graphs in linear time.
Proceedings of the Graph Structure Theory, 1991

1990
Extending an edge-coloring.
J. Graph Theory, 1990

Graph minors. VIII. A kuratowski theorem for general surfaces.
J. Comb. Theory B, 1990

Graph minors. IV. Tree-width and well-quasi-ordering.
J. Comb. Theory B, 1990

Graph minors. IX. Disjoint crossed paths.
J. Comb. Theory B, 1990

Colouring series-parallel graphs.
Comb., 1990

A Separator Theorem for Graphs with an Excluded Minor and its Applications
Proceedings of the 22nd Annual ACM Symposium on Theory of Computing, 1990

On Lehman's Width-Length Characterization.
Proceedings of the Polyhedral Combinatorics, 1990

Spanning Trees of Different Weights.
Proceedings of the Polyhedral Combinatorics, 1990

1989
A counterexample to the rank-coloring conjecture.
J. Graph Theory, 1989

Graphs with small bandwidth and cutwidth.
Discret. Math., 1989

1988
On the connectivity function of a matroid.
J. Comb. Theory B, 1988

Graph minors. VII. Disjoint paths on a surface.
J. Comb. Theory B, 1988

On induced subgraphs of the cube.
J. Comb. Theory A, 1988

Self-organizing Sequential Search and Hilbert's Inequalities.
J. Comput. Syst. Sci., 1988

1987
Subgraphs of large connectivity and chromatic number in graphs of large chromatic number.
J. Graph Theory, 1987

Characterization of even directed graphs.
J. Comb. Theory B, 1987

Large induced degenerate subgraphs.
Graphs Comb., 1987

The smallets n-uniform hypergraph with positive discrepancy.
Comb., 1987

1986
Graph minors. VI. Disjoint paths across a disc.
J. Comb. Theory B, 1986

Graph minors. V. Excluding a planar graph.
J. Comb. Theory B, 1986

Graph Minors. II. Algorithmic Aspects of Tree-Width.
J. Algorithms, 1986

Triples in Matroid Circuits.
Eur. J. Comb., 1986

Adjacency in Binary Matroids.
Eur. J. Comb., 1986

1985
Minors of 3-Connected Matroids.
Eur. J. Comb., 1985

Counting points in hypercubes and convolution measure algebras.
Comb., 1985

1984
A generalization of chordal graphs.
J. Graph Theory, 1984

Graph minors. III. Planar tree-width.
J. Comb. Theory B, 1984

A note on nongraphic matroids.
J. Comb. Theory B, 1984

1983
Graph minors. I. Excluding a forest.
J. Comb. Theory B, 1983

1982
Packing nearly-disjoint sets.
Comb., 1982

1981
On Tutte's extension of the four-colour problem.
J. Comb. Theory B, 1981

Multicommodity flows in planar graphs.
J. Comb. Theory B, 1981

Nowhere-zero 6-flows.
J. Comb. Theory B, 1981

Even circuits in planar graphs.
J. Comb. Theory B, 1981

Matroids and Multicommodity Flows.
Eur. J. Comb., 1981

On minors of non-binary matroids.
Comb., 1981

Reconizing graphic matroids.
Comb., 1981

1980
Four-terminus flows.
Networks, 1980

Decomposition of regular matroids.
J. Comb. Theory B, 1980

Packing and covering with matroid circuits.
J. Comb. Theory B, 1980

Disjoint paths in graphs.
Discret. Math., 1980

1979
A short proof of the two-commodity flow theorem.
J. Comb. Theory B, 1979

Matroid representation over GF(3).
J. Comb. Theory B, 1979

1978
A two-commodity cut theorem.
Discret. Math., 1978

Counterexample to a conjecture of Jeurissen.
Discret. Math., 1978

1977
A note on the production of matroid minors.
J. Comb. Theory B, 1977

The matroids with the max-flow min-cut property.
J. Comb. Theory B, 1977


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