Uncountably many enumerations of well-quasi-ordered permutation classes.

Robert Brignall

Robert Brignall Vincent Vatter Uncountably many enumerations of well-quasi-ordered permutation classes. 2026 6 Comb. Theory 1 https://doi.org/10.5070/c66165703 db/journals/combtheory/combtheory6.html#BrignallV26 streams/journals/combtheory

Robert Brignall Labelled Well-Quasi-Order in Juxtapositions of Permutation Classes. 2024 31 Electron. J. Comb. 2 https://doi.org/10.37236/12655 db/journals/combinatorics/combinatorics31.html#Brignall24

Robert Brignall Daniel Cocks A Framework for Minimal Hereditary Classes of Graphs of Unbounded Clique-Width. 2558-2584 2023 December 37 SIAM J. Discret. Math. 4 https://doi.org/10.1137/22m1487448 db/journals/siamdm/siamdm37.html#BrignallC23

Robert Brignall Daniel Cocks Uncountably Many Minimal Hereditary Classes of Graphs of Unbounded Clique-Width. 2022 29 Electron. J. Comb. 1 https://doi.org/10.37236/10483 https://www.wikidata.org/entity/Q113202461 db/journals/combinatorics/combinatorics29.html#BrignallC22

Robert Brignall Vincent Vatter Labelled well-quasi-order for permutation classes. 2022 2 Comb. Theory 3 https://doi.org/10.5070/c62359178 db/journals/combtheory/combtheory2.html#BrignallV22 streams/journals/combtheory

Robert Brignall Daniel Cocks A framework for minimal hereditary classes of graphs of unbounded clique-width. 2022 abs/2203.15446 CoRR https://doi.org/10.48550/arXiv.2203.15446 db/journals/corr/corr2203.html#abs-2203-15446

Aistis Atminas Robert Brignall Vadim V. Lozin Juraj Stacho Minimal classes of graphs of unbounded clique-width defined by finitely many forbidden induced subgraphs. 57-69 2021 295 Discret. Appl. Math. https://doi.org/10.1016/j.dam.2021.02.007 db/journals/dam/dam295.html#AtminasBLS21

David I. Bevan Robert Brignall Andrew Elvey Price Jay Pantone A structural characterisation of Av(1324) and new bounds on its growth rate. 103115 2020 88 Eur. J. Comb. https://doi.org/10.1016/j.ejc.2020.103115 db/journals/ejc/ejc88.html#BevanBPP20

Aistis Atminas Robert Brignall Well-quasi-ordering and finite distinguishing number. 5-26 2020 95 J. Graph Theory 1 https://doi.org/10.1002/jgt.22523 https://www.wikidata.org/entity/Q126651292 db/journals/jgt/jgt95.html#AtminasB20

Robert Brignall Jakub Sliacan Combinatorial Specifications for Juxtapositions of Permutation Classes. 4 2019 26 Electron. J. Comb. 4 https://doi.org/10.37236/8700 db/journals/combinatorics/combinatorics26.html#BrignallS19

Robert Brignall Ho-Jin Choi Jisu Jeong Sang-il Oum Deciding whether there are infinitely many prime graphs with forbidden induced subgraphs. 60-66 2019 257 Discret. Appl. Math. https://doi.org/10.1016/j.dam.2018.10.030 https://www.wikidata.org/entity/Q128932089 db/journals/dam/dam257.html#BrignallCJO19

Michael H. Albert Robert Brignall Nik Ruskuc Vincent Vatter Rationality for subclasses of 321-avoiding permutations. 44-72 2019 78 Eur. J. Comb. https://doi.org/10.1016/j.ejc.2019.01.001 db/journals/ejc/ejc78.html#AlbertBRV19

Robert Brignall David Marchant The Möbius function of permutations with an indecomposable lower bound. 1380-1391 2018 341 Discret. Math. 5 https://doi.org/10.1016/j.disc.2018.02.012 db/journals/dm/dm341.html#BrignallM18

Robert Brignall Michael Engen Vincent Vatter A Counterexample Regarding Labelled Well-Quasi-Ordering. 1395-1409 2018 34 Graphs Comb. 6 https://doi.org/10.1007/s00373-018-1962-0 https://www.wikidata.org/entity/Q124846948 db/journals/gc/gc34.html#BrignallEV18

Michael H. Albert Aistis Atminas Robert Brignall Characterising inflations of monotone grid classes of permutations. 444-463 2018 154 J. Comb. Theory A https://doi.org/10.1016/j.jcta.2017.09.004 db/journals/jct/jcta154.html#AlbertAB18

Robert Brignall Jakub Sliacan Juxtaposing Catalan Permutation Classes with Monotone Ones. 2 2017 24 Electron. J. Comb. 2 https://doi.org/10.37236/6625 db/journals/combinatorics/combinatorics24.html#BrignallS17

David I. Bevan Robert Brignall Andrew Elvey Price Jay Pantone Staircases, dominoes, and the growth rate of 1324-avoiders. 123-129 2017 61 Electron. Notes Discret. Math. https://doi.org/10.1016/j.endm.2017.06.029 db/journals/endm/endm61.html#BevanBEP17

Robert Brignall Nicholas Korpelainen Vincent Vatter Linear Clique-Width for Hereditary Classes of Cographs. 501-511 2017 84 J. Graph Theory 4 https://doi.org/10.1002/jgt.22037 db/journals/jgt/jgt84.html#BrignallKV17

Robert Brignall Vadim V. Lozin Juraj Stacho Bichain graphs: Geometric model and universal graphs. 16-29 2016 199 Discret. Appl. Math. https://doi.org/10.1016/j.dam.2014.08.031 db/journals/dam/dam199.html#BrignallLS16

Michael H. Albert Robert Brignall 2×2 monotone grid classes are finitely based. 2016 18 Discret. Math. Theor. Comput. Sci. 2 https://doi.org/10.46298/dmtcs.1325 db/journals/dmtcs/dmtcs18.html#AlbertB16

Robert Brignall Ho-Jin Choi Jisu Jeong Sang-il Oum Deciding whether there are infinitely many prime graphs with forbidden induced subgraphs. 2016 abs/1607.06864 CoRR http://arxiv.org/abs/1607.06864 db/journals/corr/corr1607.html#BrignallCJO16

Aistis Atminas Robert Brignall Nicholas Korpelainen Vadim V. Lozin Vincent Vatter Well-Quasi-Order for Permutation Graphs Omitting a Path and a Clique. 2 2015 22 Electron. J. Comb. 2 https://doi.org/10.37236/4074 db/journals/combinatorics/combinatorics22.html#AtminasBKLV15

Aistis Atminas Robert Brignall Vadim V. Lozin Juraj Stacho Minimal Classes of Graphs of Unbounded Clique-width and Well-quasi-ordering. 2015 abs/1503.01628 CoRR http://arxiv.org/abs/1503.01628 db/journals/corr/corr1503.html#AtminasBLS15

Michael H. Albert Robert Brignall Enumerating indices of Schubert varieties defined by inclusions. 154-168 2014 123 J. Comb. Theory A 1 https://doi.org/10.1016/j.jcta.2013.12.003 db/journals/jct/jcta123.html#AlbertB14

Michael H. Albert Mike D. Atkinson Robert Brignall The Enumeration of Three Pattern Classes using Monotone Grid Classes. 20 2012 19 Electron. J. Comb. 3 https://doi.org/10.37236/2442 db/journals/combinatorics/combinatorics19.html#AlbertAB12

Robert Brignall Grid classes and partial well order. 99-116 2012 119 J. Comb. Theory A 1 https://doi.org/10.1016/j.jcta.2011.08.005 db/journals/jct/jcta119.html#Brignall12

Michael H. Albert M. D. Atkinson Robert Brignall Nikola Ruskuc Rebecca Smith 0001 J. West Growth Rates for Subclasses of Av(321). 2010 17 Electron. J. Comb. 1 https://doi.org/10.37236/413 db/journals/combinatorics/combinatorics17.html#AlbertABRSW10

Robert Brignall Shalosh B. Ekhad Rebecca Smith 0001 Vincent Vatter Almost avoiding permutations. 6626-6631 2009 309 Discret. Math. 23-24 https://doi.org/10.1016/j.disc.2009.06.027 db/journals/dm/dm309.html#BrignallESV09

Robert Brignall Sophie Huczynska Vincent Vatter Decomposing simple permutations, with enumerative consequences. 385-400 2008 28 Comb. 4 https://doi.org/10.1007/s00493-008-2314-0 db/journals/combinatorica/combinatorica28.html#BrignallHV08

Robert Brignall Sophie Huczynska Vincent Vatter Simple permutations and algebraic generating functions. 423-441 2008 115 J. Comb. Theory A 3 https://doi.org/10.1016/j.jcta.2007.06.007 db/journals/jct/jcta115.html#BrignallHV08

Robert Brignall Nikola Ruskuc Vincent Vatter Simple permutations: Decidability and unavoidable substructures. 150-163 2008 391 Theor. Comput. Sci. 1-2 https://doi.org/10.1016/j.tcs.2007.10.037 db/journals/tcs/tcs391.html#BrignallRV08

Robert Brignall Wreath Products of Permutation Classes. 2007 14 Electron. J. Comb. 1 https://doi.org/10.37236/964 db/journals/combinatorics/combinatorics14.html#Brignall07

Michael Albert 0001Michael H. Albert Mike D. AtkinsonM. D. Atkinson Aistis Atminas David I. Bevan Ho-Jin Choi Daniel Cocks Shalosh B. Ekhad Michael Engen Sophie Huczynska Jisu Jeong Nicholas Korpelainen Vadim V. Lozin David Marchant Sang-il Oum Jay Pantone Andrew Elvey Price Nikola RuskucNik Ruskuc Jakub Sliacan Rebecca Smith 0001 Juraj Stacho Vincent Vatter J. West