Title
Characterization of some binary words with few squares
Abstract
Thue proved that the factors occurring infinitely many times in square-free words over { 0 , 1 , 2 } avoiding the factors in { 010 , 212 } are the factors of the fixed point of the morphism 0 ¿ 012 , 1 ¿ 02 , 2 ¿ 1 . He similarly characterized square-free words avoiding { 010 , 020 } and { 121 , 212 } as the factors of two morphic words. In this paper, we exhibit smaller morphisms to define these two square-free morphic words and we give such characterizations for six types of binary words containing few distinct squares.
Year
DOI
Venue
2015
10.1016/j.tcs.2015.03.044
Theoretical Computer Science
Keywords
Field
DocType
Combinatorial problems,Repetitions,Avoidability
Discrete mathematics,Combinatorics,Fixed point,Morphism,Mathematics,Binary number
Journal
Volume
Issue
ISSN
588
C
0304-3975
Citations 
PageRank 
References 
1
0.41
5
Authors
2
Name
Order
Citations
PageRank
Golnaz Badkobeh19514.12
Pascal Ochem225836.91