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arXiv · 2306.10714

Efficient Parameterized Pattern Matching in Sublinear Space

Haruki Ideguchi·Diptarama Hendrian·Ryo Yoshinaka·Ayumi Shinohara
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Abstract

The parameterized matching problem is a variant of string matching, which is to search for all parameterized occurrences of a pattern $P$ in a text $T$. In considering matching algorithms, the combinatorial natures of strings, especially periodicity, play an important role. In this paper, we analyze the properties of periods of parameterized strings and propose a generalization of Galil and Seiferas's exact matching algorithm (1980) into parameterized matching, which runs in $O(\pi|T|+|P|)$ time and $O(\log{|P|}+|{\rm\Pi}|)$ space in addition to the input space, where ${\rm\Pi}$ is the parameter alphabet and $\pi$ is the number of parameter characters appearing in $P$ plus one.

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Haruki Ideguchi, Diptarama Hendrian, Ryo Yoshinaka, Ayumi Shinohara. 2023-06-19. Efficient Parameterized Pattern Matching in Sublinear Space. https://arxiv.org/abs/2306.10714

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