Title
Parameterized searching with mismatches for run-length encoded strings
Abstract
Parameterized matching between two strings occurs when it is possible to reduce the first one to the second by a renaming of the alphabet symbols. We present an algorithm for searching for parameterized occurrences of a patten in a textstring when both are given in run-length encoded form. The proposed method extends to alphabets of arbitrary yet constant size with O(|r"p|x|r"t|) time bounds, previously achieved only with binary alphabets. Here r"p and r"t denote the number of runs in the corresponding encodings for p and t. For general alphabets, the time bound obtained by the present method exhibits a polynomial dependency on the alphabet size. Such a performance is better than applying convolution to the cleartext, but leaves the problem still open of designing an alphabet independent O(|r"p|x|r"t|) time algorithm for this problem.
Year
DOI
Venue
2012
10.1016/j.tcs.2012.03.018
Theor. Comput. Sci.
Keywords
Field
DocType
independent o,alphabet size,time bound,binary alphabet,alphabet symbol,present method,run-length encoded string,constant size,time algorithm,general alphabet
Combinatorics,Parameterized complexity,Substring,Bijection,Existential quantification,Computer science,Bipartite graph
Journal
Volume
ISSN
ISBN
454,
0302-9743
3-642-16320-3
Citations 
PageRank 
References 
2
0.37
6
Authors
3
Name
Order
Citations
PageRank
Alberto Apostolico11441182.20
Péter L. Erdös226746.75
Alpár Jüttner342225.50