Simple permutations: decidability and unavoidable substructures R Brignall, N Ruškuc, V Vatter Theoretical Computer Science 391 (1-2), 150-163, 2008 | 63 | 2008 |

A survey of simple permutations R Brignall Permutation patterns 376, 41-65, 2010 | 60* | 2010 |

Simple permutations and algebraic generating functions R Brignall, S Huczynska, V Vatter Journal of Combinatorial Theory, Series A 115 (3), 423-441, 2008 | 55 | 2008 |

Decomposing simple permutations, with enumerative consequences R Brignall, S Huczynska, V Vatter Combinatorica 28 (4), 385-400, 2008 | 46 | 2008 |

Permutation classes of polynomial growth MH Albert, MD Atkinson, R Brignall Annals of Combinatorics 11 (3), 249-264, 2007 | 31 | 2007 |

The enumeration of permutations avoiding 2143 and 4231 M Albert, MD Atkinson, R Brignall arXiv preprint arXiv:1108.0989, 2011 | 27 | 2011 |

Grid classes and partial well order R Brignall Journal of Combinatorial Theory, Series A 119 (1), 99-116, 2012 | 25 | 2012 |

The enumeration of three pattern classes using monotone grid classes MH Albert, MD Atkinson, R Brignall Electronic Journal of Combinatorics 19 (3), P20, 2012 | 24 | 2012 |

A structural characterisation of Av (1324) and new bounds on its growth rate D Bevan, R Brignall, AE Price, J Pantone European Journal of Combinatorics 88, 103115, 2020 | 21 | 2020 |

Growth rates for subclasses of Av (321) MH Albert, MD Atkinson, R Brignall, N Ruškuc, R Smith, J West the electronic journal of combinatorics 17 (R141), 1, 2010 | 19 | 2010 |

Enumerating indices of Schubert varieties defined by inclusions MH Albert, R Brignall Journal of Combinatorial Theory, Series A 123 (1), 154-168, 2014 | 16 | 2014 |

A counterexample regarding labelled well-quasi-ordering R Brignall, M Engen, V Vatter Graphs and Combinatorics 34, 1395-1409, 2018 | 14 | 2018 |

Labelled well-quasi-order for permutation classes R Brignall, V Vatter arXiv preprint arXiv:2103.08243, 2021 | 12 | 2021 |

Wreath products of permutation classes R Brignall arXiv preprint math/0609788, 2006 | 12 | 2006 |

Linear Clique‐Width for Hereditary Classes of Cographs R Brignall, N Korpelainen, V Vatter Journal of Graph Theory 84 (4), 501-511, 2017 | 11 | 2017 |

Simplicity in relational structures and its application to permutation classes R Brignall University of St Andrews, 2007 | 11 | 2007 |

Rationality for subclasses of 321-avoiding permutations M Albert, R Brignall, N Ruškuc, V Vatter European Journal of Combinatorics 78, 44-72, 2019 | 10 | 2019 |

Staircases, dominoes, and the growth rate of 1324-avoiders D Bevan, R Brignall, AE Price, J Pantone Electronic Notes in Discrete Mathematics 61, 123-129, 2017 | 10 | 2017 |

Minimal classes of graphs of unbounded clique-width defined by finitely many forbidden induced subgraphs A Atminas, R Brignall, V Lozin, J Stacho Discrete Applied Mathematics 295, 57-69, 2021 | 9* | 2021 |

monotone grid classes are finitely based M Albert, R Brignall Discrete Mathematics & Theoretical Computer Science 18 (Permutation Patterns), 2016 | 9 | 2016 |