Title
The maximal number of cubic runs in a word
Abstract
A run is an inclusion maximal occurrence in a word (as a subinterval) of a factor in which the period repeats at least twice. The maximal number of runs in a word of length n has been thoroughly studied, and is known to be between 0.944n and 1.029n. The proofs are very technical. In this paper we investigate cubic runs, in which the period repeats at least three times. We show the upper bound on their maximal number, cubic-runs(n), in a word of length n: cubic-runs(n)
Year
DOI
Venue
2012
10.1016/j.jcss.2011.12.005
J. Comput. Syst. Sci.
Keywords
Field
DocType
maximal number,cubic run,length n,inclusion maximal occurrence,lyndon word,fibonacci word
Fibonacci word,Discrete mathematics,Combinatorics,Upper and lower bounds,Sequence,Linearity,Mathematical proof,Lyndon word,Mathematics,Binary number,Alphabet
Journal
Volume
Issue
ISSN
78
6
0022-0000
Citations 
PageRank 
References 
1
0.35
18
Authors
6
Name
Order
Citations
PageRank
maxime crochemore1736.84
C. S. Iliopoulos2526.67
M. Kubica3302.52
jakub radoszewski4322.90
wojciech rytter513017.13
Tomasz Waleń670639.62