Title
On repetition thresholds of caterpillars and trees of bounded degree.
Abstract
The repetition threshold is the smallest real number alpha such that there exists an infinite word over a k-letter alphabet that avoids repetition of exponent strictly greater than alpha. This notion can be generalized to graph classes. In this paper, we completely determine the repetition thresholds for caterpillars and caterpillars of maximum degree 3. Additionally, we present bounds for the repetition thresholds of trees with bounded maximum degrees.
Year
Venue
Keywords
2018
ELECTRONIC JOURNAL OF COMBINATORICS
Infinite word,Repetition threshold,Graph coloring
DocType
Volume
Issue
Journal
25
1
ISSN
Citations 
PageRank 
1077-8926
0
0.34
References 
Authors
8
3
Name
Order
Citations
PageRank
Borut Luzar14210.86
Pascal Ochem225836.91
Alexandre Pinlou316720.47