5 papers · 1 filter
Descents and flag major index on conjugacy classes of colored permutation groups without short cycles
Kevin Liu, Mei Yin
We consider the descent and flag major index statistics on the colored permutation groups, which are wreath products of the form …
Moments of Colored Permutation Statistics on Conjugacy Classes
Jesse Campion Loth, Michael Levet, Kevin Liu +2
In this paper, we consider the moments of statistics on conjugacy classes of the colored permutation groups . We first show that…
Sampling planar tanglegrams and pairs of disjoint triangulations
Alexander E. Black, Kevin Liu, Alex Mcdonough +4
A tanglegram consists of two rooted binary trees and a perfect matching between their leaves, and a planar tanglegram is one that admits a layout with no crossings. We show that th…
Probabilistic Parking Functions
Irfan Durmić, Alex Han, Pamela E. Harris +2
We consider the notion of classical parking functions by introducing randomness and a new parking protocol, as inspired by the work presented in the paper ``Parking Functions: Choo…
Ehrhart Theory of Paving and Panhandle Matroids
Derek Hanely, Jeremy L. Martin, Daniel McGinnis +4
We show that the base polytope of any paving matroid can be systematically obtained from a hypersimplex by slicing off certain subpolytopes, namely base polytopes of latt…