Sparse compact directed acyclic word graphs

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4 Citations (Scopus)

Abstract

The suffix tree of string w represents all suffixes of w, and thus it supports full indexing of w for exact pattern matching. On the other hand, a sparse suffix tree of w represents only a subset of the suffixes of w, and therefore it supports sparse indexing of w. There has been a wide range of applications of sparse suffix trees, e.g., natural language processing and biological sequence analysis. Word suffix trees are a variant of sparse suffix trees that are defined for strings that contain a special word delimiter #. Namely, the word suffix tree of string w = w 1w 2 · · ·w k, consisting of k words each ending with #, represents only the k suffixes of w of the form w i · · ·w k. Recently, we presented an algorithm which builds word suffix trees in O(n) time with O(k) space, where n is the length of w. In addition, we proposed sparse directed acyclic word graphs (SDAWGs) and an on-line algorithm for constructing them, working in O(n) time and space. As a further achievement of this research direction, this paper introduces yet a new text indexing structure named sparse compact directed acyclic word graphs (SCDAWGs). We show that the size of SCDAWGs is smaller than that of word suffix trees and SDAWGs, and present an SCDAWG construction algorithm that works in O(n) time with O(k) space and in an on-line manner.

Original languageEnglish
Title of host publicationProceedings of the Prague Stringology Conference '06
Pages197-211
Number of pages15
Publication statusPublished - Dec 1 2006
EventPrague Stringology Conference '06, PSC 2006 - Prague, Czech Republic
Duration: Aug 28 2006Aug 30 2006

Publication series

NameProceedings of the Prague Stringology Conference '06

Other

OtherPrague Stringology Conference '06, PSC 2006
CountryCzech Republic
CityPrague
Period8/28/068/30/06

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Inenaga, S., & Takeda, M. (2006). Sparse compact directed acyclic word graphs. In Proceedings of the Prague Stringology Conference '06 (pp. 197-211). (Proceedings of the Prague Stringology Conference '06).