Charles Burnette

activity

20152025

most citedPeriods of Iterated Rational Functions over a Finite Field

8 citations · 12 across the 7 of their papers we have counts for

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5 papers · 1 filter

math.CO2025

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…

math.CO2021★ 1 cited

Involution factorizations of Ewens random permutations

Charles Burnette

An involution is a bijection that is its own inverse. Given a permutation $σ$ of $[n],$ let $invol (σ)$ denote the number of ways $σ$ can be expressed as a composition of t…

math.CO2018

Permutations With Equal Orders

Huseyin Acan, Charles Burnette, Sean Eberhard +2

Let $P (n)$ be the probability that two independent, uniformly random permutations of $[n]$ have the same order, and let $K (n)$ be the probability that they are in the same conjugac…

math.CO2016

Abelian Squares and Their Progenies

Charles Burnette, Chung Wong

A polynomial $P \in C [z_{1}, \dots, z_{d}]$ is strongly $D^{d}$ -stable if $P$ has no zeroes in the closed unit polydisc $D^{d} .$ For such a polynomia…

math.CO2015★ 3 cited

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 $σ$ of $[n],$ let $N_{n} (σ)$ denote the number of ways to write $σ$ as a product of two involut…