文章基本信息

标题：A Framework for Dynamic Parameterized Dictionary Matching
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作者：Arnab Ganguly ; Wing-Kai Hon ; Rahul Shah 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2016
卷号：53
页码：10:1-10:14
DOI：10.4230/LIPIcs.SWAT.2016.10
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：Two equal-length strings S and S' are a parameterized-match (p-match) iff there exists a one-to-one function that renames the characters in S to those in S'. Let P be a collection of d patterns of total length n characters that are chosen from an alphabet Sigma of cardinality sigma. The task is to index P such that we can support the following operations. * search(T): given a text T, report all occurrences such that there exists a pattern P_i in P that is a p-match with the substring T[j,j+|P_i|-1]. * ins(P_i)/del(P_i): modify the index when a pattern P_i is inserted/deleted. We present a linear-space index that occupies O(n*log n) bits and supports (i) search(T) in worst-case O(|T|*log^2 n + occ) time, where occ is the number of occurrences reported, and (ii) ins(P_i) and del(P_i) in amortized O(|P_i|*polylog(n)) time. Then, we present a succinct index that occupies (1+o(1))n*log sigma + O(d*log n) bits and supports (i) search(T) in worst-case O(|T|*log^2 n + occ) time, and (ii) ins(P_i) and del(P_i) in amortized O(|P_i|*polylog(n)) time. We also present results related to the semi-dynamic variant of the problem, where deletion is not allowed.
关键词：Parameterized Dictionary Indexing; Generalized Suffix Tree; Succinct Data Structures; Sparsification