111 citations · 117 across the 9 of their papers we have counts for
9 papers · 1 filter
Interval-closed set rowmotion and homomesy on products of two chains
Nadia Lafrenière, Joel Brewster Lewis, Erin McNicholas +2
We study rowmotion dynamics on interval-closed sets. Our first main result proves a simplification of the global definition of interval-closed set rowmotion from (Elder, Lafrenière…
Enumeration of interval-closed sets via Motzkin paths and quarter-plane walks
Sergi Elizalde, Nadia Lafrenière, Joel Brewster Lewis +3
We find a generating function for interval-closed sets of the product of two chains poset by constructing a bijection to certain bicolored Motzkin paths. We also find a functional…
Cyclic sieving on permutations -- an analysis of maps and statistics in the FindStat database
Ashleigh Adams, Jennifer Elder, Nadia Lafrenière +3
We perform a systematic study of permutation statistics and bijective maps on permutations using SageMath to search the FindStat combinatorial statistics database to identify appar…
Toggling, rowmotion, and homomesy on interval-closed sets
Jennifer Elder, Nadia Lafrenière, Erin McNicholas +2
Interval-closed sets of a poset are a natural superset of order ideals. We initiate the study of interval-closed sets of finite posets from enumerative and dynamical perspectives.…
Homomesies on permutations -- an analysis of maps and statistics in the FindStat database
Jennifer Elder, Nadia Lafrenière, Erin McNicholas +2
In this paper, we perform a systematic study of permutation statistics and bijective maps on permutations in which we identify and prove 122 instances of the homomesy phenomenon. H…
Approval Gap of Weighted k-Majority Tournaments
Jeremy Coste, Breenn Flesch, Joshua D. Laison +2
A -majority tournament on a finite set of vertices is defined by a set of linear orders on , with an edge in if in a majority of the linear…
Algebraic Voting Theory & Representations of
Hélène Barcelo, Megan Bernstein, Sarah Bockting-Conrad +3
We consider the problem of selecting an -member committee made up of one of candidates from each of distinct departments. Using an algebraic approach, we analyze positio…
Spectra of Coronae
Cam McLeman, Erin McNicholas
We introduce a new invariant, the coronal of a graph, and use it to compute the spectrum of the corona of two graphs and . In particular, we show that this spectr…
Graph Invertibility
Cam McLeman, Erin McNicholas
Extending the work of Godsil and others, we investigate the notion of the inverse of a graph (specifically, of bipartite graphs with a unique perfect matching). We provide a concis…