7 citations · 17 across the 6 of their papers we have counts for
Showing 2017 · math.COShow all
3 papers · 2 filters
math.CO2017★ 2 cited
Whirling injections, surjections, and other functions between finite sets
Michael Joseph, James Propp, Tom Roby
This paper analyzes a certain action called "whirling" that can be defined on any family of functions between two finite sets equipped with a linear (or cyclic) ordering. Many maps…
math.CO2017
Antichain toggling and rowmotion
Michael Joseph
In this paper, we analyze the toggle group on the set of antichains of a poset. Toggle groups, generated by simple involutions, were first introduced by Cameron and Fon-Der-Flaass…
math.CO2017★ 1 cited
Toggling independent sets of a path graph
Michael Joseph, Tom Roby
This paper explores the orbit structure and homomesy (constant averages over orbits) properties of certain actions of toggle groups on the collection of independent sets of a path…