2 citations · 3 across the 7 of their papers we have counts for
7 papers
Permutations of point sets in
Alvaro Carbonero, Beth Anne Castellano, Gary Gordon +3
Given a set consisting of points in and one or two vantage points, we study the number of orderings of induced by measuring the distance (for one vantage…
Linear relations for a generalized Tutte polynomial
Gary Gordon
Brylawski proved the coefficients of the Tutte polynomial of a matroid satisfy a set of linear relations. We extend these relations to a generalization of the Tutte polynomial that…
Random subtrees of complete graphs
Alex J. Chin, Gary Gordon, Kellie J. MacPhee +1
We study the asymptotic behavior of four statistics associated with subtrees of complete graphs: the uniform probability that a random subtree is a spanning tree of , th…
Fixing numbers for matroids
Gary Gordon, Jennifer McNulty, Nancy Ann Neudauer
Motivated by work in graph theory, we define the fixing number for a matroid. We give upper and lower bounds for fixing numbers for a general matroid in terms of the size and maxim…
On Brylawski's generalized duality
Gary Gordon
We introduce a notion of duality (due to Brylawski) that generalizes matroid duality to arbitrary rank functions. This generalized duality allows for generalized operations (deleti…
Matroid automorphisms of the H_4 root system
Chencong Bao, Camila Freidman-Gerlicz, Gary Gordon +2
We study the rank 4 linear matroid associated with the 4-dimensional root system . This root system coincides with the vertices of the 600-cell, a 4-dimensional regul…