Journal of KIISE:Computer Systems and Theory (한국정보과학회논문지:시스템및이론)

Korean Institute of Information Scientists and Engineers (한국정보과학회)
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A New merging Algorithm for Constructing suffix Trees for Integer Alphabets

정수 문자집합상의 접미사트리 구축을 위한 새로운 합병 알고리즘

  • 김동규 (부산대학교 전자전기정보컴퓨터공학부) ;
  • 심정섭 (서울대학교 컴퓨터공학부) ;
  • 박근수 (서울대학교 컴퓨터공학부)
  • Published : 2002.02.01
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Abstract

A new approach of constructing a suffix tree $T_s$for the given string S is to construct recursively a suffix tree $ T_0$ for odd positions construct a suffix tree $T_e$ for even positions from $ T_o$ and then merge $ T_o$ and $T_e$ into $T_s$ To construct suffix trees for integer alphabets in linear time had been a major open problem on index data structures. Farach used this approach and gave the first linear-time algorithm for integer alphabets The hardest part of Farachs algorithm is the merging step. In this paper we present a new and simpler merging algorithm based on a coupled BFS (breadth-first search) Our merging algorithm is more intuitive than Farachs coupled DFS (depth-first search ) merging and thus it can be easily extended to other applications.

주어진 스트링 S의 접미사트리 $T_s$를 구축하기 위하여 , 먼저 홀수위치들에 대한 접미사트리 $ T_0$를 제귀적으로 구축하고 짝수위치들에 대한 접비사트리 $T_e$를 $ T_o$/로 부터 구축한 다음 $ T_o$와 $T_e$를 합병하여 $T_s$를 구축하는 새로운 방식이 사용되고 있다. 인덱스자료구조에 관련된 문제들 중 정수 문자집합상의 접미사트리를 선형시간에 구축하는 문제는 오랫동안 미해결문제로 남아 있었다. Farach은 이 방식을 적용하여 처음으로 성형시간이 소요되는 알고리즘을 제시하였다. 이 알고리즘은 중 가장 어려운 곳은 합병하는 부분이다. 본 논문에서는 BFS(breadth-first search)에 기반하는 새로운 합병알고리즘을 제안한다. 제안된 합병알고리즘은 Farach의 DFS(depth-first search) 방식보다 개념적으로 단순하게 동작하므로 다른 응용의로 쉽게 확장될수 있다.

Keywords

References

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