@unpublished{brignall:lwqo-juxt:, Author = { Brignall, R.}, Title = { Labelled well-quasi-order in juxtapositions of permutation classes }, Note = {Submitted} }
@unpublished{bv:wqo-uncountable:, Author = { Brignall, R. and Vatter, V. }, Title = { Uncountably many enumerations of well-quasi-ordered permutation classes }, Note = {Submitted} }
@unpublished{bc:cw-framework:, Author = { Brignall, R. and Cocks, D. }, Title = { A framework for minimal hereditary classes of graphs of unbounded clique-width }, Note = {Submitted} }
@unpublished{bv:lwqo-for-pp:, Author = { Brignall, R. and Vatter, V. }, Title = { Labeled well-quasi-order for permutation classes }, Note = {Submitted} }
@unpublished{bc:cw-sturmian:, Author = { Brignall, R. and Cocks, D. }, Title = { Uncountably many minimal hereditary classes of graphs of unbounded clique-width }, Note = {Submitted} }
@unpublished{abls:bichain-min:, Author = { Atminas, A. and Brignall, R. and Lozin, V. and Stacho, J.}, Title = { Minimal Classes of Graphs of Unbounded Clique-width defined by finitely many forbidden induced subgraphs}, Note = {Submitted} }
@unpublished{ab:wqo-distnumber, AUTHOR = {Atminas, A. and Brignall, R.}, TITLE = {Well-quasi-ordering and finite distinguishing number}, NOTE = {Journal of Graph Theory, accepted} }
@unpublished{1324, author = {David Bevan and Robert Brignall and Andrew Elvey Price and Jay Pantone}, title = {A structural characterisation of Av(1324) and new bounds on its growth rate}, note = {European Journal of Combinatorics, accepted}, }
@article{bs:context-free, AUTHOR = {Brignall, R. and Slia\v{c}an, J.}, TITLE = {Combinatorial specifications for juxtapositions of permutation classes}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {26}, YEAR = {2019}, NUMBER = {4}, PAGES = {P4.4, 24 pp. (electronic)}, }
@article{bjkm:mobius-zeros, author = {Brignall, R. and Jel'inek, V. and Kyn\v{c}l, J. and Marchant, D.}, title = {Zeros of the M\"obius function of permutations}, journal = {Mathematika}, year = {2019}, volume = {65}, number = {4}, pages = {1074--1092}, doi = {https://doi.org/10.1112/S0025579319000251}, }
@article{bcjo:deciding-prime, author = {Robert Brignall and Hojin Choi and Jisu Jeong and Sang-il Oum}, title = {Deciding whether there are infinitely many prime graphs with forbidden induced subgraphs}, journal = {Discrete Applied Mathematics}, year = {2019}, volume = {257}, pages = {60--66}, doi = {https://doi.org/10.1016/j.dam.2018.10.030}, issn = {0166-218X}, url = {http://www.sciencedirect.com/science/article/pii/S0166218X18305778} }
@ARTICLE{abrv:av321, author = {Michael Albert and Robert Brignall and Nik Ru\v{s}kuc and Vincent Vatter}, title = {Rationality for subclasses of 321-avoiding permutations}, journal = {European Journal of Combinatorics}, year = {2019}, volume = {78}, pages = {44--72}, doi = {https://doi.org/10.1016/j.ejc.2019.01.001}, issn = {0195-6698}, url = {http://www.sciencedirect.com/science/article/pii/S0195669819300010} }
@ARTICLE{bev:lwqo, author = {Brignall, Robert and Engen, Michael and Vatter, Vincent}, title = {A Counterexample Regarding Labelled Well-Quasi-Ordering}, journal = {Graphs and Combinatorics}, year = {2018}, volume = {34}, pages = {1395--1409}, number = {6}, month = {Nov}, day = {01}, doi = {10.1007/s00373-018-1962-0}, issn = {1435-5914}, url = {https://doi.org/10.1007/s00373-018-1962-0} }
@article{bm:mobius, AUTHOR = {Brignall, R. and Marchant, D.}, TITLE = {The M\"obius function of permutations with an indecomposable lower bound}, JOURNAL = {Discrete Math.}, VOLUME = {341}, YEAR = {2018}, PAGES = {1380--1391} }
@article{aab:simple-21s, AUTHOR = {Albert, M.H. and Atminas, A. and Brignall, R.}, TITLE = {Characterising inflations of monotone grid classes of permutations} JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory, Series A}, VOLUME = {154}, YEAR = {2018}, PAGES = {444--463}, }
@article{bs:juxt-catalan, AUTHOR = {Brignall, R. and Slia\v{c}an, J.}, TITLE = {Juxtaposing Catalan permutation classes with monotone ones} JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {24(2)}, YEAR = {2017}, NUMBER = {2}, PAGES = {P2.11, 16 pp. (electronic)}, }
@article{bkv:lcw-cographs:, author = {Brignall, R. and Korpelainen, N. and Vatter, V.}, title = {Linear clique-width for hereditary classes of cographs}, journal = {Journal of Graph Theory}, volume = {84}, number = {4}, url = {http://dx.doi.org/10.1002/jgt.22037}, doi = {10.1002/jgt.22037}, pages = {501--511}, year = {2017}, }
@article{ab:grid-basis, TITLE = {$2\times 2$ monotone grid classes are finitely based}, AUTHOR = {Albert, Michael and Brignall, Robert}, URL = {http://dmtcs.episciences.org/1378}, JOURNAL = {Discrete Mathematics \& Theoretical Computer Science}, VOLUME = {vol. 18 no. 2, Permutation Patterns 2015}, PAGES = {\#1}, YEAR = {2016}, MONTH = Nov, KEYWORDS = {Mathematics - Combinatorics ; 05A05}, }
@article{bls:bichain:, author = {Brignall, R. and Lozin, V and Stacho, J.}, title = {Bichain graphs: geometric model and universal graphs}, journal = {Discrete Appl. Math.}, year = {2016}, volume = {199}, pages = {16--29} }
@article{ablkv:wqo-path-clique:, AUTHOR = { Atminas, A. and Brignall, R. and Korpelainen, N. and Lozin, V. and Vatter, V.}, TITLE = { Well-Quasi-Order for Permutation Graphs Omitting a Path and a Clique}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {22(2)}, YEAR = {2015}, NUMBER = {2}, PAGES = {P2.20, 21 pp. (electronic)}, }
@article{bv:schmerl-trotter:, AUTHOR = { Brignall, R. and Vatter, V.}, TITLE = { A simple proof of a theorem of Schmerl and Trotter for permutations} JOURNAL = {J. Combin.}, FJOURNAL = {Journal of Combinatorics}, VOLUME = {6}, YEAR = {2015}, NUMBER = {1--2}, PAGES = {47--54}, }
@article{ab:enumerating-indices:, AUTHOR = {Albert, A. and Brignall, R.}, TITLE = {Enumerating indices of Schubert varieties defined by inclusions} JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory, Series A}, VOLUME = {123}, YEAR = {2014}, NUMBER = {1--2}, PAGES = {154--168}, }
@article {antichains-large, AUTHOR = {Albert, Michael H. and Brignall, Robert and Vatter, Vincent}, TITLE = {Large infinite antichains of permutations}, JOURNAL = {Pure Math. Appl. (PU.M.A.)}, VOLUME = {24}, YEAR = {2013}, NUMBER = {2}, PAGES = {47--57}, ISSN = {1218-4586}, }
@article {bgw:recon, AUTHOR = {Brignall, Robert and Georgiou, Nicholas and Waters, Robert J.}, TITLE = {Modular decomposition and the reconstruction conjecture}, JOURNAL = {J. Comb.}, VOLUME = {3}, YEAR = {2012}, NUMBER = {1}, PAGES = {123--134}, ISSN = {2156-3527}, URL = {http://dx.doi.org/10.4310/JOC.2012.v3.n1.a6}, }
@article{aab:three-enumerations:, Author = {Albert, M. H. and Atkinson, M. D. and Brignall, R.}, Title = {The enumeration of three pattern classes using monotone grid classes}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {19(3)}, YEAR = {2012}, NUMBER = {3}, PAGES = {P20, 34 pp. (electronic)}, }
@article{brignall:pwo-grid-classes:, author = {Brignall, R.}, title = {Grid classes and partial well order}, journal = {J. Combin. Theory Ser. A}, year = {2012}, volume = {119}, pages = {99--116}, number = {1}, fjournal = {Journal of Combinatorial Theory. Series A}, }
@article{aab:2143-4231-enum:, Author = {Albert, M. H. and Atkinson, M. D. and Brignall, R.}, Title = {The enumeration of permutations avoiding 2143 and 4231}, JOURNAL = {Pure Math. Appl. (PU.M.A.)}, FJOURNAL = {Pure Mathematics and Applications. PU.M.A.}, VOLUME = {22}, YEAR = {2011}, NUMBER = {2}, PAGES = {87--98}, }
@article {simple-extensions, AUTHOR = {Brignall, Robert and Ru{\v{s}}kuc, Nik and Vatter, Vincent}, TITLE = {Simple extensions of combinatorial structures}, JOURNAL = {Mathematika}, VOLUME = {57}, YEAR = {2011}, NUMBER = {2}, PAGES = {193--214}, ISSN = {0025-5793}, URL = {http://dx.doi.org/10.1112/S0025579310001518}, }
@article {albert:321avoiders, AUTHOR = {Albert, M. H. and Atkinson, M. D. and Brignall, R. and Ru\v{s}kuc, N. and Smith, Rebecca and West, J.}, TITLE = {Growth rates for subclasses of Av(321)}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {17(1)}, YEAR = {2010}, NUMBER = {1}, PAGES = {Research Paper 141, 16 pp. (electronic)}, }
@incollection {brignall:a-survey-of-sim:, AUTHOR = {Brignall, Robert}, TITLE = {A Survey of Simple Permutations}, BOOKTITLE = {Permutation Patterns}, SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {376}, PAGES = {41-65}, PUBLISHER = {Cambridge Univ. Press}, ADDRESS = {Cambridge}, YEAR = {2010}, EDITOR = {Linton, Steve and Ru\v{s}kuc, Nik and Vatter, Vincent} }
@article{brignall:almost, AUTHOR = {Brignall, Robert, and Ekhad, Shalosh B., and Smith, Rebecca and Vatter, Vincent}, TITLE = {Almost avoiding permutations} JOURNAL = {Discrete Math.}, VOLUME = {309}, YEAR = {2009}, PAGES = {6626--6631}, }
@article {brignall:simple-decomp:, AUTHOR = {Brignall, Robert and Huczynska, Sophie and Vatter, Vincent}, TITLE = {Decomposing simple permutations, with enumerative consequences}, JOURNAL = {Combinatorica}, VOLUME = {28}, YEAR = {2008}, NUMBER = {4}, PAGES = {385--400}, ISSN = {0209-9683}, }
@article {brignall:simple-enum:, AUTHOR = {Brignall, Robert and Huczynska, Sophie and Vatter, Vincent}, TITLE = {Simple permutations and algebraic generating functions}, JOURNAL = {J. Combin. Theory Ser. A}, VOLUME = {115}, YEAR = {2008}, NUMBER = {3}, PAGES = {423--441}, ISSN = {0097-3165}, }
@article {brignall:simple-decide:, AUTHOR = {Brignall, Robert and Ru{\v{s}}kuc, Nik and Vatter, Vincent}, TITLE = {Simple permutations: decidability and unavoidable substructures}, JOURNAL = {Theoret. Comput. Sci.}, VOLUME = {391}, YEAR = {2008}, NUMBER = {1-2}, PAGES = {150--163}, ISSN = {0304-3975}, }
@article {albert:polypaper:, AUTHOR = {Albert, M. H. and Atkinson, M. D. and Brignall, Robert}, TITLE = {Permutation classes of polynomial growth}, JOURNAL = {Ann. Comb.}, FJOURNAL = {Annals of Combinatorics}, VOLUME = {11}, YEAR = {2007}, NUMBER = {3-4}, PAGES = {249--264}, ISSN = {0218-0006}, }
@article {brignall:wreath-product:, AUTHOR = {Brignall, Robert}, TITLE = {Wreath products of permutation classes}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {14}, YEAR = {2007}, NUMBER = {1}, PAGES = {Research Paper 46, 15 pp. (electronic)}, ISSN = {1077-8926}, }
@article{1324endm, author = {David Bevan and Robert Brignall and Andrew Elvey Price and Jay Pantone}, title = {Staircases, dominoes, and the growth rate of 1324-avoiders }, journal = {Electronic Notes in Discrete Mathematics }, year = {2017}, volume = {61}, pages = {123 - 129}, note = {The European Conference on Combinatorics, Graph Theory and Applications (EUROCOMB 17) }, }