Title
Repetition avoidance in products of factors.
Abstract
We consider a variation on a classical avoidance problem from combinatorics on words that has been introduced by Mousavi and Shallit at DLT 2013. Let pexpi(w) be the supremum of the exponent over the products (concatenation) of i factors of the word w. The repetition threshold Image 1 is then the infimum of pexpi(w) over all words w∈Σkω. Mousavi and Shallit obtained that Image 2 and Image 3. We show that Image 4 if i is even and Image 5 if i is odd and i⩾3.
Year
DOI
Venue
2018
10.1016/j.tcs.2019.04.013
Theoretical Computer Science
Keywords
Field
DocType
Words,Repetition avoidance
Discrete mathematics,Combinatorics,Exponent,Infimum and supremum,Concatenation,Combinatorics on words,Mathematics
Journal
Volume
ISSN
Citations 
791
0304-3975
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Pamela Fleischmann123.75
Pascal Ochem225836.91
Kamellia Reshadi300.34