18 citations · 83 across the 37 of their papers we have counts for
32 papers · 1 filter
Invariance of rowmotion for variants of the Tamari lattice
Ben Adenbaum, Emily Barnard, Cesar Ceballos +6
We show that the rowmotion operator from dynamical algebraic combinatorics behaves the same on all alt -Tamari lattices for a fixed lattice path . We use this invariance of r…
Unexpectedly, a symmetry on unlabeled graphs
Florian Fürnsinn, Moritz Gangl, Martin Rubey
We exhibit the joint symmetric distribution of the following two parameters on the set of unlabeled, simple, connected graphs with vertices. The first parameter is the maximal…
On the global dimension of Nakayama algebras
Viktória Klász, René Marczinzik, Anton Mellit +2
We study the global dimension of Nakayama algebras. In the case of linear Nakayama algebras, which are in canonical bijection to Dyck paths, we show that the global dimension has t…
A generalization of conjugation of integer partitions
Seamus Albion, Theresia Eisenkölbl, Ilse Fischer +4
We exhibit, for any positive integer parameter , an involution on the set of integer partitions of . These involutions show the joint symmetry of the distributions of the fol…
Fixed points and cycles of parking functions
Martin Rubey, Mei Yin
A parking function of length is a sequence of positive integers such that if is the increasing rearrangement of , th…
An equidistribution involving invisible inversions
Michael Coopman, Martin Rubey
We provide two explicit bijections demonstrating that, among permutations, the number of invisible inversions is equidistributed with the number of occurrences of the vincular patt…