Title
Inferring Strings From Runs
Abstract
A run in a string is a nonextendable periodic substring in the string. Detecting all runs in a string is important and studied both from theoretical and practical points of view. In this paper, we consider the reverse problem of it. We reveal that the time complexity depends on the alphabet size k of the string to be output. We show that it is solvable in polynomial time for both binary alphabet and infinite alphabet, while it is NP-complete for finite k >= 4. We also consider a variant of the problem where only a subset of runs are given as an input. We show that it is solvable in polynomial time for infinite alphabet, while it is NP- complete for finite k >= 3.
Year
Venue
Keywords
2010
PROCEEDINGS OF THE PRAGUE STRINGOLOGY CONFERENCE 2010
repetition, runs, inferring problem
Field
DocType
Citations 
Discrete mathematics,Algebra,Computer science
Conference
5
PageRank 
References 
Authors
0.44
10
3
Name
Order
Citations
PageRank
Wataru Matsubara1525.87
Akira Ishino2547.31
Ayumi Shinohara393688.28