Zero forcing sets and the minimum rank of graphs AIM Minimum Rank–Special Graphs Work Group Linear algebra and its applications 428 (7), 1628-1648, 2008 | 455 | 2008 |

Rudiments of Ramsey theory R Graham, S Butler American Mathematical Soc., 2015 | 189 | 2015 |

Eigenvalues and structures of graphs SK Butler University of California, San Diego, 2008 | 123 | 2008 |

Hat guessing games S Butler, MT Hajiaghayi, RD Kleinberg, T Leighton SIAM review 51 (2), 399-413, 2009 | 109 | 2009 |

Forest-like permutations M Bousquet-Mélou, S Butler Annals of Combinatorics 11 (3-4), 335-354, 2007 | 90 | 2007 |

A construction of cospectral graphs for the normalized Laplacian S Butler, J Grout arXiv preprint arXiv:1008.3646, 2010 | 75 | 2010 |

Interlacing for weighted graphs using the normalized Laplacian S Butler The Electronic Journal of Linear Algebra 16, 90-98, 2007 | 64 | 2007 |

Algebraic aspects of the normalized Laplacian S Butler Recent Trends in Combinatorics, 295-315, 2016 | 61 | 2016 |

A note about cospectral graphs for the adjacency and normalized Laplacian matrices S Butler Linear and Multilinear Algebra 58 (3), 387-390, 2010 | 56 | 2010 |

The Mathematics of Paul Erdős II RL Graham, J Nešetřil, S Butler Springer, 2013 | 54 | 2013 |

Throttling zero forcing propagation speed on graphs S Butler, M Young Australas. J. Combin 57, 65-71, 2013 | 52 | 2013 |

Small spectral gap in the combinatorial Laplacian implies Hamiltonian S Butler, F Chung Annals of Combinatorics 13, 403-412, 2010 | 52 | 2010 |

Spectral graph theory S Butler, F Chung Handbook of linear algebra, 47, 2006 | 43 | 2006 |

The inverse eigenvalue problem of a graph: Multiplicities and minors W Barrett, S Butler, SM Fallat, HT Hall, L Hogben, JCH Lin, BL Shader, ... Journal of Combinatorial Theory, Series B 142, 276-306, 2020 | 37 | 2020 |

Rainbow arithmetic progressions S Butler, C Erickson, L Hogben, K Hogenson, L Kramer, RL Kramer, ... arXiv preprint arXiv:1404.7232, 2014 | 32 | 2014 |

Induced-universal graphs for graphs with bounded maximum degree S Butler Graphs and Combinatorics 25 (4), 461-468, 2009 | 31 | 2009 |

A note on nested sums S Butler, P Karasik Journal of Integer Sequences 13 (2), 3, 2010 | 29 | 2010 |

Using discrepancy to control singular values for nonnegative matrices S Butler Linear algebra and its applications 419 (2-3), 486-493, 2006 | 28 | 2006 |

Using variants of zero forcing to bound the inertia set of a graph S Butler, J Grout, H Hall The Electronic Journal of Linear Algebra 30, 1-18, 2015 | 22 | 2015 |

Minimum rank library S Butler, L DeLoss, J Grout, HT Hall, J LaGrange, T McKay, J Smith, ... Sage programs for calculating bounds on the minimum rank of a graph, and for …, 2014 | 20 | 2014 |