36 citations · 204 across the 58 of their papers we have counts for
72 papers · 1 filter
Complexes of pattern-avoiding injective words
Sergi Elizalde, Philip Hanlon, Patricia Hersh
The complex of injective words is a cell complex that arises in a number of different areas. It has applications to proving homological stability and to the study of group cohomolo…
On individual leaf depths of trees
Sergi Elizalde
We explore a generating function trick which allows us to keep track of infinitely many statistics using finitely many variables, by recording their individual distributions rather…
Rowmotion on 321-avoiding permutations
Ben Adenbaum, Sergi Elizalde
We give a natural definition of rowmotion for -avoiding permutations, by translating, through bijections involving Dyck paths and the Lalanne--Kreweras involution, the analogo…
Partitions with constrained ranks and lattice paths
Sylvie Corteel, Sergi Elizalde, Carla Savage
In this paper we study partitions whose successive ranks belong to a given set. We enumerate such partitions while keeping track of the number of parts, the largest part, the side…
On a dart game of Niedermaier
Sergi Elizalde
We analyze a game introduced by Andy Niedermaier, where players take turns throwing a dart at a dartboard. A player is eliminated unless his dart lands closer to the center tha…
Statistics on clusters and -Stirling permutations
Sergi Elizalde, Justin M. Troyka, Yan Zhuang
The Goulden$\unicode{x2013}$Jackson cluster method, adapted to permutations by Elizalde and Noy, reduces the problem of counting permutations by occurrences of a prescribed consecu…