Title
Polynomial-Time Algorithms for Computing Characteristic Strings
Abstract
The difference between two strings is the minimum number of editing steps (insertions, deletions, changes) that convert one string into the other. Let S be a finite set of strings, let T be a subset of S, and let be a positive integer. A -characteristic string of T under S is a string that is a common substring of T and that has at least -differences from any substring of any string in S – T. In this paper, the following result is presented.lt can be decided in O(T+l 2 · ¦S– T¦+l ··¦¦S–T¦¦) time whether or not there exists a -characteristic string of T under S, where l denotes the length of a shortest string in T, ¦S– T¦ the cardinality of S – T, and T the size of T. If such a string exits, then all the shortest -characteristic strings of T under S can also be obtained in that time.
Year
DOI
Venue
1994
10.1007/3-540-58094-8_24
CPM
Keywords
Field
DocType
approximate pattern matching,characteristic string,dna probe,polynomial-time algorithms,computing characteristic strings
Integer,Discrete mathematics,Substring,Combinatorics,Finite set,Existential quantification,Cardinality,Approximate string matching,Time complexity,Mathematics
Conference
ISBN
Citations 
PageRank 
3-540-58094-8
8
1.44
References 
Authors
11
4
Name
Order
Citations
PageRank
Minoru Ito148377.61
Kuniyasu Shimizu2125.77
Michio Nakanishi33411.90
Akihiro Hashimoto4408153.74