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Pattern Mining Under Simon's Congruence

delete2026-01-01
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PRE
AI
S
Sungmin Kim
Y
Yo-Sub Han *
DOI:10.1007/978-3-032-01475-7_13delete
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Abstract

Abstract

En 中文
Given two strings u and v and an integer k, we say.u and.v are Simon's congruent with respect to k if they have the same set of subsequences of length at most k We study the complete pattern mining problem for Simon's congruence, where the problem is to find the substrings of a given text.T that maximizes the number of congruent substrings of the text, for each possible value of.k. We design new data structures that capture the equivalence classes with respect to +/- k for substrings of the text. We then propose an O(|T|(2) log (2) |T|)-time algorithm for fixed-sized alphabets using the new data structures.
Keywords:
Simon's congruence
pattern mining
subsequences
equivalence classes
data structures

Journal

D
DEVELOPMENTS IN LANGUAGE THEORY, DLT 2025
IF:
0
Papers:
19
Citations:
0

Organization

Y
Yonsei University
Scholars:
4.8W
Papers: 4.6W
Citations: 5.2W