Title
Parameterized matching with mismatches
Abstract
The problem of approximate parameterized string searching consists of finding, for a given text t=t"1t"2...t"n and pattern p=p"1p"2...p"m over respective alphabets @S"t and @S"p, the injection @p"i from @S"p to @S"t maximizing the number of matches between @p"i(p) and t"it"i"+"1...t"i"+"m"-"1(i=1,2,...,n-m+1). We examine the special case where both strings are run-length encoded, and further restrict to the case where one of the alphabets is binary. For this case, we give a construction working in time O(n+(r"pxr"t)@a(r"t)log(r"t)), where r"p and r"t denote the number of runs in the corresponding encodings for y and x, respectively, and @a is the inverse of the Ackermann's function.
Year
DOI
Venue
2007
10.1016/j.jda.2006.03.014
J. Discrete Algorithms
Keywords
Field
DocType
special case,parameterized matching,pattern matching with mismatches,algorithms,corresponding encodings,string matching,pattern matching,pattern p,approximate parameterized string,time o,respective alphabet
String searching algorithm,Discrete mathematics,Inverse,Combinatorics,Parameterized complexity,Ackermann function,Function composition,Pattern matching,Mathematics,Binary number,Special case
Journal
Volume
Issue
ISSN
5
1
Journal of Discrete Algorithms
Citations 
PageRank 
References 
22
0.81
5
Authors
3
Name
Order
Citations
PageRank
Alberto Apostolico11441182.20
Péter L. Erds2232.21
Moshe Lewenstein3121476.97