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Charles Burnette

5 papers hereh-index 214 citations10 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author2
  • first author2
  • middle author1

Across the 5 of 5 papers where every author was matched, so the position is known.

fields
  • math.CO4
  • math.RA1

identity via Semantic Scholar / OpenAlex

activity
20162025
most citedInvolution factorizations of Ewens random permutations

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

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.RA2022

On power maps over weakly periodic rings

Charles Burnette

A ring R is called weakly periodic if every x∈R can be written in the form x=a+b, where a is nilpotent and bm=b for some integer m>1. The aim of this note…

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∈C[z1​,…,zd​] is strongly Dd-stable if P has no zeroes in the closed unit polydisc Dd. For such a polynomia…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.