Title
Semi-dynamic Compact Index for Short Patterns and Succinct van Emde Boas Tree.
Abstract
We present a compact semi-dynamic text index which allows us to find short patterns efficiently. For parameters (kle q le log _sigma n - log _sigma log _sigma n) and alphabet size (sigma = O(mathrm {polylog}(n))), all ( occ ) occurrences of a pattern of length at most (q-k+1) can be obtained in (O(k times occ + log _sigma n)) time, where (n) is the length of the text. Adding characters to the end of the text is supported in amortized constant time. Our index requires ((n/k) log (n/k) + n log sigma + o(n)) bits of space, which is compact (i.e., (O(n log sigma ))) when (k = varTheta (log _{sigma } n)). As a byproduct, we present a succinct van Emde Boas tree which supports insertion, deletion, predecessor, and successor on a dynamic set of integers over the universe ([0, m-1]) in (O(log log m)) time and requires only (m + o(m)) bits of space.
Year
Venue
Field
2015
CPM
Integer,Discrete mathematics,Combinatorics,Computer science,Amortized analysis,Van Emde Boas tree,Suffix array,Sigma,Suffix tree,Alphabet
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
4
5
Name
Order
Citations
PageRank
Yoshiaki Matsuoka100.68
Tomohiro I214822.06
Shunsuke Inenaga359579.02
Hideo Bannai462079.87
Masayuki Takeda590279.24