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math.CO2022★ 3 cited
Complement Avoidance in Binary Words
James Currie, L'ubomíra Dvořaková, Pascal Ochem +3
The complement of a binary word is obtained by changing each in to and vice versa. We study infinite binary words that avoid sufficiently lar…
math.CO2022★ 1 cited
Antisquares and Critical Exponents
Aseem Baranwal, James Currie, Lucas Mol +3
The (bitwise) complement of a binary word is obtained by changing each in to and vice versa. An is a nonempty word of the form…
math.CO2022★ 3 cited
Pseudoperiodic Words and a Question of Shevelev
Joseph Meleshko, Pascal Ochem, Jeffrey Shallit +1
We generalize the familiar notion of periodicity in sequences to a new kind of pseudoperiodicity, and we prove some basic results about it. We revisit the results of a 2012 paper o…