Title
New Results On Pseudosquare Avoidance
Abstract
We start by considering binary words containing the minimum possible numbers of squares and antisquares (where an antisquare is a word of the form x (x) over bar), and we completely classify which possibilities can occur. We consider avoiding xp(x), where p is any permutation of the underlying alphabet, and xt(x), where t is any transformation of the underlying alphabet. Finally, we prove the existence of an infinite binary word simultaneously avoiding all occurrences of xh(x) for every nonerasing morphism h and all sufficiently large words x.
Year
DOI
Venue
2019
10.1007/978-3-030-28796-2_21
COMBINATORICS ON WORDS, WORDS 2019
Field
DocType
Volume
Discrete mathematics,Combinatorics,Of the form,Permutation,Overline,Morphism,Mathematics,Binary number,Alphabet
Journal
11682
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Tim Ng100.34
Pascal Ochem225836.91
narad rampersad323041.26
Jeffrey Shallit419839.00