3 papers
math.CO2019
Pattern-Avoiding Permutation Powers
Amanda Burcroff, Colin Defant
Recently, Bóna and Smith defined strong pattern avoidance, saying that a permutation strongly avoids a pattern if and both avoid . They conjectured that for ev…
math.CO2019
Generalized Lyndon Factorizations of Infinite Words
Amanda Burcroff, Eric Winsor
A generalized lexicographic order on words is a lexicographic order where the total order of the alphabet depends on the position of the comparison. A generalized Lyndon word is a…
math.CO2018
-Anti-Powers and Other Patterns in Words
Amanda Burcroff
Given a word, we are interested in the structure of its contiguous subwords split into blocks of equal length, especially in the homogeneous and anti-homogeneous cases. We intr…