Down–up algebras G Benkart, T Roby Journal of Algebra 209 (1), 305-344, 1998 | 179 | 1998 |

Homomesy in products of two chains J Propp, T Roby the electronic journal of combinatorics, P3. 4-P3. 4, 2015 | 93 | 2015 |

Dynamical algebraic combinatorics and the homomesy phenomenon T Roby Recent trends in combinatorics, 619-652, 2016 | 65 | 2016 |

Iterative properties of birational rowmotion II: rectangles and triangles D Grinberg, T Roby The Electronic Journal of Combinatorics, P3. 40-P3. 40, 2015 | 61 | 2015 |

Iterative properties of birational rowmotion I: generalities and skeletal posets D Grinberg, T Roby The Electronic Journal of Combinatorics 23 (1), P1. 33, 2016 | 45 | 2016 |

The lattice of threshold graphs R Merris, T Roby J. Inequal. Pure Appl. Math 6 (1), 1-21, 2005 | 37 | 2005 |

Toggling independent sets of a path graph M Joseph, T Roby arXiv preprint arXiv:1701.04956, 2017 | 30 | 2017 |

Paths to understanding birational rowmotion on products of two chains G Musiker, T Roby Algebraic Combinatorics 2 (2), 275-304, 2019 | 24 | 2019 |

Homomesy in products of two chains T Roby, J Propp Discrete Mathematics & Theoretical Computer Science, 2013 | 23 | 2013 |

The connection between the Robinson-Schensted correspondence for skew oscillating tableaux and graded graphs T Roby Discrete mathematics 139 (1-3), 481-485, 1995 | 18 | 1995 |

Birational and noncommutative lifts of antichain toggling and rowmotion M Joseph, T Roby Algebraic Combinatorics 3 (4), 955-984, 2020 | 16 | 2020 |

Iterative properties of birational rowmotion D Grinberg, T Roby arXiv preprint arXiv:1402.6178, 2014 | 13 | 2014 |

Complementary algorithms for tableaux T Roby, F Sottile, J Stroomer, J West Journal of Combinatorial Theory, Series A 96 (1), 127-161, 2001 | 10 | 2001 |

Addendum-Volume 209, Number 1 (1998), in Article No JA987511, Down-Up Algebras G Benkart, T Roby Journal of Algebra 213 (1), 378-378, 1999 | 8 | 1999 |

Whirling injections, surjections, and other functions between finite sets J Propp, M Joseph, T Roby arXiv preprint arXiv:1711.02411, 2017 | 7 | 2017 |

Equivalence relations of permutations generated by constrained transpositions J West, T Roby, J Propp, S Linton Discrete Mathematics & Theoretical Computer Science, 2010 | 7 | 2010 |

Birational rowmotion on a rectangle over a noncommutative ring D Grinberg, T Roby arXiv preprint arXiv:2208.11156, 2022 | 5 | 2022 |

Foatic actions of the symmetric group and fixed-point homomesy M LaCroix, T Roby arXiv preprint arXiv:2008.03292, 2020 | 5 | 2020 |

Rowmotion on fences S Elizalde, M Plante, T Roby, B Sagan arXiv preprint arXiv:2108.12443, 2021 | 4 | 2021 |

Whirling injections, surjections, and other functions between finite sets M Joseph, J Propp, T Roby arXiv preprint arXiv:1711.02411, 2017 | 4 | 2017 |