On-line construction of compact directed acyclic word graphs

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• 作者：Inenaga ; Shunsuke ; Hoshino ; Hiromasa ; Shinohara ; Ayumi ; Takeda ; Masayuki ; Arikawa ; Setsuo ; et. al.
• 关键词：Pattern matching on strings ; Compact directed acyclic word graphs ; Directed acyclic word graphs ; Suffix trees ; On-line and linear-time algorithms
• 刊名：Discrete Applied Mathematics
• 出版年：2005
• 出版时间：March 1, 2005
• 年：2005
• 卷：146
• 期：2
• 页码：156-179
• 全文大小：561 K

文摘

Many different index structures, providing efficient solutions to problems related to pattern matching, have been introduced so far. Examples of these structures are suffix trees and directed acyclic word graphs (DAWGs), which can be efficiently constructed in linear time and space. Compact directed acyclic word graphs (CDAWGs) are an index structure preserving some features of both suffix trees and DAWGs, and require less space than both of them. An algorithm which directly constructs CDAWGs in linear time and space was first introduced by Crochemore and Vérin, based on McCreight's algorithm for constructing suffix trees. In this work, we present a novel on-line linear-time algorithm that builds the CDAWG for a single string as well as for a set of strings, inspired by Ukkonen's on-line algorithm for constructing suffix trees.