8 citations · 12 across the 7 of their papers we have counts for
7 papers
Extending the Affirmative Action Problem: mixing numbers and integrated colorings of graphs
Charles Burnette, Broden Caton, Olivia Coward +2
Consider a graph whose vertices are colored in one of two colors, say black or white. A white vertex is called integrated if it has at least as many black neighbors as white neighb…
On power maps over weakly periodic rings
Charles Burnette
A ring is called weakly periodic if every can be written in the form where is nilpotent and for some integer The aim of this note…
Involution factorizations of Ewens random permutations
Charles Burnette
An involution is a bijection that is its own inverse. Given a permutation of let denote the number of ways can be expressed as a composition of t…
Permutations With Equal Orders
Huseyin Acan, Charles Burnette, Sean Eberhard +2
Let be the probability that two independent, uniformly random permutations of have the same order, and let be the probability that they are in the same conjugac…
Abelian Squares and Their Progenies
Charles Burnette, Chung Wong
A polynomial is strongly -stable if has no zeroes in the closed unit polydisc For such a polynomia…
Periods of Iterated Rational Functions over a Finite Field
Charles Burnette, Eric Schmutz
Choose a random degree d poly f with coefficients in a finite field F. We estimate the ultimate period of f under compositional iteration. We also determine the joint distribution…
Representing Random Permutations as the Product of Two Involutions
Charles Burnette, Eric Schmutz
An involution is a permutation that is its own inverse. Given a permutation of let denote the number of ways to write as a product of two involut…