Throttling for the game of Cops and Robbers on graphs J Breen, B Brimkov, J Carlson, L Hogben, KE Perry, C Reinhart Discrete Mathematics 341 (9), 2418-2430, 2018 | 34 | 2018 |

Optimizing the trade-off between number of cops and capture time in Cops and Robbers A Bonato, J Breen, B Brimkov, J Carlson, S English, J Geneson, L Hogben, ... arXiv preprint arXiv:1903.10087, 2019 | 17* | 2019 |

Computing Kemeny's constant for barbell-type graphs J Breen, S Butler, N Day, C DeArmond, K Lorenzen, H Qian, J Riesen The Electronic Journal of Linear Algebra 35, 583-598, 2019 | 13 | 2019 |

A comparison of centrality measures and their role in controlling the spread in epidemic networks E Dudkina, M Bin, J Breen, E Crisostomi, P Ferraro, S Kirkland, J Mareček, ... International Journal of Control 97 (6), 1325-1340, 2024 | 8 | 2024 |

On the effectiveness of random walks for modeling epidemics on networks S Kim, J Breen, E Dudkina, F Poloni, E Crisostomi Plos one 18 (1), e0280277, 2023 | 8* | 2023 |

Minimising the largest mean first passage time of a Markov chain: The influence of directed graphs J Breen, S Kirkland Linear Algebra and its Applications 520, 306-334, 2017 | 8 | 2017 |

Maximum spread of graphs and bipartite graphs J Breen, AWN Riasanovsky, M Tait, J Urschel Communications of the American Mathematical Society 2 (11), 417-480, 2022 | 7 | 2022 |

Clustering behaviour in Markov chains with eigenvalues close to one J Breen, E Crisostomi, M Faizrahnemoon, S Kirkland, R Shorten Linear Algebra and its Applications 555, 163-185, 2018 | 6 | 2018 |

A structured condition number for Kemeny's constant J Breen, S Kirkland SIAM Journal on Matrix Analysis and Applications 40 (4), 1555-1578, 2019 | 5 | 2019 |

Stationary vectors of stochastic matrices subject to combinatorial constraints J Breen, S Kirkland The Electronic Journal of Linear Algebra 28, 25-53, 2015 | 5 | 2015 |

Kemeny's constant for nonbacktracking random walks J Breen, N Faught, C Glover, M Kempton, A Knudson, A Oveson Random Structures & Algorithms 63 (2), 343-363, 2023 | 4 | 2023 |

Kemeny’s constant for a graph with bridges J Breen, E Crisostomi, S Kim Discrete Applied Mathematics 322, 20-35, 2022 | 4 | 2022 |

Hadamard diagonalizable graphs of order at most 36 J Breen, S Butler, M Fuentes, B Lidický, M Phillips, AWN Riasanovksy, ... arXiv preprint arXiv:2007.09235, 2020 | 4 | 2020 |

Constructions of cospectral graphs with different zero forcing numbers A Abiad, B Brimkov, J Breen, TR Cameron, H Gupta, RR Villagrán arXiv preprint arXiv:2111.12343, 2021 | 3 | 2021 |

Markov chains under combinatorial constraints: analysis and synthesis J Breen University of Manitoba, 2018 | 3 | 2018 |

Minimum number of distinct eigenvalues allowed by a sign pattern J Breen, C Brouwer, M Catral, M Cavers, P van den Driessche, ... Linear Algebra and its Applications 654, 311-338, 2022 | 2 | 2022 |

Threshold graphs, Kemeny's constant, and related random walk parameters J Breen, S Kim, AL Fung, A Mann, AA Parfeni, G Tedesco arXiv preprint arXiv:2310.08552, 2023 | 1 | 2023 |

The allow sequence of distinct eigenvalues for a sign pattern J Breen, C Brouwer, M Catral, M Cavers, P van den Driessche, ... The Electronic Journal of Linear Algebra 40, 48-80, 2024 | | 2024 |

Kemeny’s constant for nonbacktracking random walks on the vertices of a graph MW Shumway, A Knudson, M Kempton, J Breen 2025 Joint Mathematics Meetings (JMM 2025), 0 | | |

Maximum spread of graphs J Breen 2025 Joint Mathematics Meetings (JMM 2025), 0 | | |