2 citations · 2 across the 8 of their papers we have counts for
7 papers · 1 filter
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…
Enumeration of pattern-avoiding alternating sign matrices: An asymptotic dichotomy
Mathilde Bouvel, Eric S. Egge, Rebecca N. Smith +2
We completely classify the asymptotic behavior of the number of alternating sign matrices classically avoiding a single permutation pattern, in the sense of [Johansson and Linusson…
Key-avoidance for alternating sign matrices
Mathilde Bouvel, Rebecca Smith, Jessica Striker
We initiate a systematic study of key-avoidance on alternating sign matrices (ASMs) defined via pattern-avoidance on an associated permutation called the \emph{key} of an ASM. We e…
Toric Promotion with Reflections and Refractions
Ashleigh Adams, Colin Defant, Jessica Striker
Inspired by recent work on refraction billiards in dynamics, we introduce a notion of refraction for combinatorial billiards. This allows us to define a generalization of toric pro…
On nu Faces of Partial Alternating Sign Matrix Polytopes
Dylan Heuer, Sara Solhjem, Jessica Striker
We define and study the -partial alternating sign matrix polytope, motivated by connections to the Chan-Robbins-Yuen polytope and the -Tamari lattice. We determine the i…
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…