Title
Improving time and space complexity for compressed pattern matching
Abstract
The compressed pattern matching problem is to find all occurrences of a given pattern in a compressed text. In this paper an efficient grammar-based compression algorithm is presented for the compressed pattern matching. The algorithm achieves the worst-case approximation ratio O(g*logg*logn) for the optimum grammar size g* with an input text of length n. This upper bound improves the complexity of the compressed pattern matching problem to $O(g_*\log g_*\log m + \frac{n}{m} + m^2 + r)$ time and O(g*logg*logm + m2) space for any pattern shorter than m and the number r of pattern occurrences.
Year
DOI
Venue
2006
10.1007/11940128_49
ISAAC
Keywords
Field
DocType
worst-case approximation ratio,input text,log g,efficient grammar-based compression algorithm,improving time,number r,length n,optimum grammar size g,pattern occurrence,space complexity,log m,pattern matching,upper bound,compression algorithm
Compressed pattern matching,String searching algorithm,Discrete mathematics,Combinatorics,Upper and lower bounds,Spacetime,Data compression,Time complexity,Pattern matching,Mathematics
Conference
Volume
ISSN
ISBN
4288
0302-9743
3-540-49694-7
Citations 
PageRank 
References 
3
0.40
23
Authors
3
Name
Order
Citations
PageRank
Shirou Maruyama1664.65
Hiromitsu Miyagawa230.40
Hiroshi Sakamoto3476.63