Title
Complexity of cutting words on regular tilings
Abstract
We show that the complexity of a cutting word u in a regular tiling with a polyomino Q is equal to Pn(u) = (p + q - 1)n + 1 for all n ≥ 0, where Pn(u) counts the number of distinct factors of length n in the infinite word u and where the boundary of Q is constructed of 2p horizontal and 2q vertical unit segments.
Year
DOI
Venue
2007
10.1016/j.ejc.2005.05.009
Eur. J. Comb.
Keywords
Field
DocType
polyomino q,regular tiling,word u,vertical unit segment,flow on the torus,distinct factor,length n,infinite word u,regular tilings,combinatorics on words.,cutting words,complexity function,combinatorics on words
Discrete mathematics,Combinatorics,Polyomino,Mathematics
Journal
Volume
Issue
ISSN
28
1
0195-6698
Citations 
PageRank 
References 
2
0.44
2
Authors
2
Name
Order
Citations
PageRank
Pascal Hubert120.44
Laurent Vuillon218626.63