Robert Brignall

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All published works
Action Title Year Authors
+ PDF Chat Pin classes II: Small pin classes 2024 Robert Brignall
B. B. JARVIS
+ PDF Chat On cycles in monotone grid classes of permutations 2024 David Bevan
Robert Brignall
Nik Ruškuc
+ PDF Chat Labelled Well-Quasi-Order in Juxtapositions of Permutation Classes 2024 Robert Brignall
+ PDF Chat A Framework for Minimal Hereditary Classes of Graphs of Unbounded Clique-Width 2023 Robert Brignall
Cocks Daniel
+ Labelled well-quasi-order in juxtapositions of permutation classes 2023 Robert Brignall
+ PDF Chat Labelled well-quasi-order for permutation classes 2022 Robert Brignall
Vincent Vatter
+ PDF Chat Uncountably Many Minimal Hereditary Classes of Graphs of Unbounded Clique-Width 2022 Robert Brignall
Cocks Daniel
+ A framework for minimal hereditary classes of graphs of unbounded clique-width 2022 Robert Brignall
Cocks Daniel
+ Uncountably many enumerations of well-quasi-ordered permutation classes 2022 Robert Brignall
Vincent Vatter
+ Labeled well-quasi-order for permutation classes 2021 Robert Brignall
Vincent Vatter
+ PDF Chat Minimal classes of graphs of unbounded clique-width defined by finitely many forbidden induced subgraphs 2021 Aistis Atminas
Robert Brignall
Vadim Lozin
Juraj Stacho
+ Labelled well-quasi-order for permutation classes 2021 Robert Brignall
Vincent Vatter
+ Uncountably many minimal hereditary classes of graphs of unbounded clique-width 2021 Robert Brignall
Cocks Daniel
+ A structural characterisation of Av(1324) and new bounds on its growth rate 2020 David Bevan
Robert Brignall
Andrew Elvey Price
Jay Pantone
+ PDF Chat Well‐quasi‐ordering and finite distinguishing number 2019 Aistis Atminas
Robert Brignall
+ PDF Chat Combinatorial Specifications for Juxtapositions of Permutation Classes 2019 Robert Brignall
Jakub Sliačan
+ Rationality for subclasses of 321-avoiding permutations 2019 Michael Albert
Robert Brignall
Nik Ruškuc
Vincent Vatter
+ Combinatorial specifications for juxtapositions of permutation classes 2019 Robert Brignall
Jakub Sliačan
+ PDF Chat ZEROS OF THE MÖBIUS FUNCTION OF PERMUTATIONS 2019 Robert Brignall
Vít Jelínek
Jan Kynčl
David Marchant
+ Combinatorial specifications for juxtapositions of permutation classes 2019 Robert Brignall
Jakub Sliačan
+ Deciding whether there are infinitely many prime graphs with forbidden induced subgraphs 2018 Robert Brignall
Ho‐Jin Choi
Jisu Jeong
Sang‐il Oum
+ PDF Chat A Counterexample Regarding Labelled Well-Quasi-Ordering 2018 Robert Brignall
Michael Engen
Vincent Vatter
+ Zeros of the Möbius function of permutations 2018 Robert Brignall
Vít Jelínek
Jan Kynčl
David Marchant
+ Intervals of permutations and the principal M\"{o}bius function. 2018 Robert Brignall
David Marchant
+ The Möbius function of permutations with an indecomposable lower bound 2018 Robert Brignall
David Marchant
+ Intervals of permutations and the principal Möbius function 2018 Robert Brignall
David Marchant
+ New bounds on the growth rate of 1324-avoiders 2017 David Bevan
Robert Brignall
Andrew Elvey Price
Jay Pantone
+ A structural characterisation of Av(1324) and new bounds on its growth rate 2017 David Bevan
Robert Brignall
Andrew Elvey Price
Jay Pantone
+ PDF Chat Characterising inflations of monotone grid classes of permutations 2017 Michael Albert
Aistis Atminas
Robert Brignall
+ A counterexample regarding labelled well-quasi-ordering 2017 Robert Brignall
Robert C. Engen
Vincent Vatter
+ PDF Chat Staircases, dominoes, and the growth rate of 1324-avoiders 2017 David Bevan
Robert Brignall
Andrew Elvey Price
Jay Pantone
+ Juxtaposing Catalan Permutation Classes with Monotone Ones 2017 Robert Brignall
Jakub Sliačan
+ Characterising when the simple permutations of a class are monotone griddable 2017 Michael Albert
Aistis Atminas
Robert Brignall
+ Characterising inflations of monotone grid classes of permutations 2017 Michael Albert
Aistis Atminas
Robert Brignall
+ A structural characterisation of Av(1324) and new bounds on its growth rate 2017 David Bevan
Robert Brignall
Andrew Elvey Price
Jay Pantone
+ Characterising inflations of monotone grid classes of permutations 2017 Michael H. Albert
Aistis Atminas
Robert Brignall
+ A counterexample regarding labelled well-quasi-ordering 2017 Robert Brignall
Michael Engen
Vincent Vatter
+ Juxtaposing Catalan permutation classes with monotone ones 2016 Robert Brignall
Jakub Sliačan
+ 2 × 2 monotone grid classes are finitely based 2016 Michael Albert
Robert Brignall
+ PDF Chat Linear Clique‐Width for Hereditary Classes of Cographs 2016 Robert Brignall
Nicholas Korpelainen
Vincent Vatter
+ PDF Chat $2\times 2$ monotone grid classes are finitely based 2016 Michael Albert
Robert Brignall
+ Rationality For Subclasses of 321-Avoiding Permutations 2016 Michael Albert
Robert Brignall
Nik Ruškuc
Vincent Vatter
+ Juxtaposing Catalan permutation classes with monotone ones 2016 Robert Brignall
Jakub Sliačan
+ Rationality for subclasses of 321-avoiding permutations 2016 Michael H. Albert
Robert Brignall
Nik Ruškuc
Vincent Vatter
+ Well-quasi-ordering and finite distinguishing number 2015 Aistis Atminas
Robert Brignall
+ The basis of $2\times 2$ monotone grid classes 2015 Michael Albert
Robert Brignall
+ $2\times 2$ monotone grid classes are finitely based 2015 Michael Albert
Robert Brignall
+ PDF Chat Well-Quasi-Order for Permutation Graphs Omitting a Path and a Clique 2015 Aistis Atminas
Robert Brignall
Nicholas Korpelainen
Vadim Lozin
Vincent Vatter
+ Minimal Classes of Graphs of Unbounded Clique-width and Well-quasi-ordering. 2015 Aistis Atminas
Robert Brignall
Vadim Lozin
Juraj Stacho
+ Minimal classes of graphs of unbounded clique-width defined by finitely many forbidden induced subgraphs 2015 Aistis Atminas
Robert Brignall
Vadim Lozin
Juraj Stacho
+ PDF Chat A simple proof of a theorem of Schmerl and Trotter for permutations 2015 Robert Brignall
Vincent Vatter
+ Well-quasi-ordering and finite distinguishing number 2015 Aistis Atminas
Robert Brignall
+ Bichain graphs: Geometric model and universal graphs 2014 Robert Brignall
Vadim Lozin
Juraj Stacho
+ A simple proof of a theorem of Schmerl and Trotter for permutations 2014 Robert Brignall
Vincent Vatter
+ A simple proof of a theorem of Schmerl and Trotter for permutations 2014 Robert Brignall
Vincent Vatter
+ Enumerating indices of Schubert varieties defined by inclusions 2013 Michael Albert
Robert Brignall
+ Well-Quasi-Order for Permutation Graphs Omitting a Path and a Clique 2013 Aistis Atminas
Robert Brignall
Nicholas Korpelainen
Vadim Lozin
Vincent Vatter
+ Linear Clique-Width for Hereditary Classes of Cographs 2013 Robert Brignall
Nicholas Korpelainen
Vincent Vatter
+ Linear Clique-Width for Subclasses of Cographs, With Connections to Permutations 2013 Robert Brignall
Nicholas Korpelainen
Vincent Vatter
+ Linear Clique-Width for Classes of Cographs 2013 Robert Brignall
Nicholas Korpelainen
Vincent Vatter
+ Enumerating indices of Schubert varieties defined by inclusions 2013 Michael Albert
Robert Brignall
+ Large infinite antichains of permutations 2013 Michael Albert
Robert Brignall
Vincent Vatter
+ Enumerating indices of Schubert varieties defined by inclusions 2013 Michael Albert
Robert Brignall
+ Well-Quasi-Order for Permutation Graphs Omitting a Path and a Clique 2013 Aistis Atminas
Robert Brignall
Nicholas Korpelainen
Vadim Lozin
Vincent Vatter
+ Linear Clique-Width for Hereditary Classes of Cographs 2013 Robert Brignall
Nicholas Korpelainen
Vincent Vatter
+ PDF Chat The Enumeration of Three Pattern Classes using Monotone Grid Classes 2012 Michael H. Albert
Mike Atkinson
Robert Brignall
+ The enumeration of three pattern classes 2012 Michael Albert
M. D. Atkinson
Robert Brignall
+ PDF Chat Modular decomposition and the reconstruction conjecture 2012 Robert Brignall
Nicholas Georgiou
Robert J. Waters
+ Large infinite antichains of permutations 2012 Michael H. Albert
Robert Brignall
Vincent Vatter
+ Modular Decomposition and the Reconstruction Conjecture 2011 Robert Brignall
Nicholas Georgiou
Robert J. Waters
+ Grid classes and partial well order 2011 Robert Brignall
+ The enumeration of permutations avoiding 2143 and 4231 2011 Michael Albert
M. D. Atkinson
Robert Brignall
+ Modular Decomposition and the Reconstruction Conjecture 2011 Robert Brignall
Nicholas Georgiou
R. Jordan Waters
+ PDF Chat SIMPLE EXTENSIONS OF COMBINATORIAL STRUCTURES 2010 Robert Brignall
Nik Ruškuc
Vincent Vatter
+ Growth rates for subclasses of Av(321) 2010 Michael Albert
M. D. Atkinson
Robert Brignall
Nik Ruškuc
Rebecca Smith
Julian West
+ A survey of simple permutations 2010 Robert Brignall
+ Permutation Patterns: A survey of simple permutations 2010 Robert Brignall
+ PDF Chat Almost avoiding permutations 2009 Robert Brignall
Shalosh B. Ekhad
Rebecca Smith
Vincent Vatter
+ Grid classes and partial well order 2009 Robert Brignall
+ Growth rates for subclasses of Av(321) 2009 Michael Albert
M. D. Atkinson
Robert Brignall
Nik Ruškuc
Rebecca Smith
Julian West
+ Grid classes and partial well order 2009 Robert Brignall
+ Decomposing simple permutations, with enumerative consequences 2008 Robert Brignall
Sophie Huczynska
Vincent Vatter
+ APPROXIMATIONS TO PERMUTATION CLASSES 2008 Robert Brignall
Shalosh B. Ekhad
Rebecca Smith
Vincent Vatter
+ A Survey of Simple Permutations 2008 Robert Brignall
+ PDF Chat Permutation Classes of Polynomial Growth 2007 Michael Albert
M. D. Atkinson
Robert Brignall
+ SIMPLICITY IN RELATIONAL STRUCTURES AND ITS APPLICATION TO PERMUTATION CLASSES 2007 Robert Brignall
+ Simple permutations and algebraic generating functions 2007 Robert Brignall
Sophie Huczynska
Vincent Vatter
+ PDF Chat Simple permutations: Decidability and unavoidable substructures 2007 Robert Brignall
Nik Ruškuc
Vincent Vatter
+ PDF Chat Wreath Products of Permutation Classes 2007 Robert Brignall
+ Wreath Products of Permutation Classes 2006 Robert Brignall
+ Simple permutations: decidability and unavoidable substructures 2006 Robert Brignall
Nik Ruškuc
Vince Vatter
+ Simple permutations and algebraic generating functions 2006 Robert Brignall
Sophie Huczynska
Vincent Vatter
+ Permutation Classes of Polynomial Growth 2006 Michael Albert
M. D. Atkinson
Robert Brignall
+ Decomposing simple permutations, with enumerative consequences 2006 Robert Brignall
Sophie Huczynska
Vince Vatter
+ Pattern Classes of Permutations: Constructions, Atomicity and the Finite Basis Property 2004 Robert Brignall
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Simple permutations and pattern restricted permutations 2005 Michael Albert
M. D. Atkinson
29
+ Restricted permutations 1999 M. D. Atkinson
27
+ Restricted permutations, antichains, atomic classes and stack sorting 2003 Maximilian M. Murphy
20
+ Geometric grid classes of permutations 2013 Michael H. Albert
M. D. Atkinson
Mathilde Bouvel
Nik Ruškuc
Vincent Vatter
19
+ PDF Chat Grid Classes and the Fibonacci Dichotomy for Restricted Permutations 2006 Sophie Huczynska
Vincent Vatter
18
+ None 2002 M. D. Atkinson
M. M. Murphy
Nik Ruškuc
15
+ PDF Chat Profile Classes and Partial Well-Order for Permutations 2003 Maximillian M. Murphy
Vincent Vatter
15
+ Restricted permutations and the wreath product 2002 M. D. Atkinson
T. Stitt
13
+ Critically indecomposable partially ordered sets, graphs, tournaments and other binary relational structures 1993 James H. Schmerl
William T. Trotter
12
+ Excluded permutation matrices and the Stanley–Wilf conjecture 2004 Adam W. Marcus
Gábor Tardos
11
+ Induced subgraphs and well‐quasi‐ordering 1990 Peter Damaschke
11
+ PDF Chat Small permutation classes 2011 Vincent Vatter
10
+ Decomposing simple permutations, with enumerative consequences 2008 Robert Brignall
Sophie Huczynska
Vincent Vatter
10
+ Minimal Classes of Graphs of Unbounded Clique-Width 2011 Vadim Lozin
10
+ PDF Chat Simple permutations: Decidability and unavoidable substructures 2007 Robert Brignall
Nik Ruškuc
Vincent Vatter
9
+ PDF Chat Regular closed sets of permutations 2003 Michael Albert
M. D. Atkinson
Nik Ruškuc
9
+ PDF Chat On Partial Well-Order for Monotone Grid Classes of Permutations 2010 Vincent Vatter
Steve Waton
9
+ PDF Chat Generating and Enumerating 321-Avoiding and Skew-Merged Simple Permutations 2013 Michael Albert
Vincent Vatter
8
+ PDF Chat Well-Quasi-Order of Relabel Functions 2010 Jean Daligault
Michaël Rao
Stéphan Thomassé
8
+ Restricted 132-Avoiding Permutations 2001 Toufik Mansour
Alek Vainshtein
8
+ None 1998 Jens Gustedt
8
+ PDF Chat Inflations of geometric grid classes of permutations 2014 Michael Albert
Nik Ruškuc
Vincent Vatter
8
+ The enumeration of simple permutations. 2003 Michael Albert
M. D. Atkinson
Martin Klazar
7
+ Generating trees and forbidden subsequences 1996 Julian West
7
+ Approximating clique-width and branch-width 2006 Sang‐il Oum
Paul Seymour
7
+ Simple permutations and algebraic generating functions 2007 Robert Brignall
Sophie Huczynska
Vincent Vatter
7
+ Indecomposable graphs 1997 Pierre Ille
7
+ PDF Chat A Combinatorial Problem in Geometry 2009 P. Erdős
G. Szckeres
7
+ Grid classes and partial well order 2011 Robert Brignall
7
+ On Intervals in Relational Structures 1980 Stéphane Foldes
6
+ Counting Occurrences of 132 in a Permutation 2002 Toufik Mansour
Alek Vainshtein
6
+ On Permutation Classes Defined by Token Passing Networks, Gridding Matrices and Pictures: Three Flavours of Involvement 2007 Stephen D. Waton
6
+ Pattern matching for permutations 1998 Prosenjit Bose
Jonathan F. Buss
Anna Lubiw
6
+ Permutation patterns: basic definitions and notation 2015 David Bevan
6
+ Criterion for smoothness of Schubert varieties in Sl(n)/B 1990 V. Lakshmibai
B Sandhya
6
+ Forbidden subsequences 1994 Zvezdelina Stankova
6
+ PDF Chat The Insertion Encoding of Permutations 2005 Michael Albert
Steve Linton
Nik Ruškuc
6
+ Subgraphs and well‐quasi‐ordering 1992 Guoli Ding
6
+ PDF Chat The On-Line Encyclopedia of Integer Sequences 2007 N. J. A. Sloane
6
+ The limit of a Stanley–Wilf sequence is not always rational, and layered patterns beat monotone patterns 2004 Miklós Bóna
5
+ The theory of well-quasi-ordering: A frequently discovered concept 1972 Joseph B. Kruskal
5
+ PDF Chat Counting occurrences of132in an even permutation 2004 Toufik Mansour
5
+ Boolean-width of graphs 2011 Binh-Minh Bui-Xuan
Jan Arne Telle
Martin Vatshelle
5
+ Canonical Antichains of Unit Interval and Bipartite Permutation Graphs 2010 Vadim Lozin
Colin Mayhill
5
+ On well-quasi-ordering finite trees 1963 C. St. J. A. Nash‐Williams
5
+ Exact Enumeration of 1342-Avoiding Permutations: A Close Link with Labeled Trees and Planar Maps 1997 Miklós Bóna
5
+ Enumeration of permutations containing a prescribed number of occurrences of a pattern of length three 2003 Markus Fulmek
5
+ PDF Chat Subclasses of the separable permutations 2011 Michael Albert
M. D. Atkinson
Vincent Vatter
5
+ Minimal Universal Bipartite Graphs. 2007 Vadim Lozin
Gábor Rudolf
5
+ Counting occurrences of 231 in an involution 2006 Toufik Mansour
Sherry H. F. Yan
Laura L. M. Yang
5