Title
Detecting $k$-(Sub-)Cadences and Equidistant Subsequence Occurrences
Abstract
The equidistant subsequence pattern matching problem is considered. Given a pattern string $P$ and a text string $T$, we say that $P$ is an \emph{equidistant subsequence} of $T$ if $P$ is a subsequence of the text such that consecutive symbols of $P$ in the occurrence are equally spaced. We can consider the problem of equidistant subsequences as generalizations of (sub-)cadences. We give bit-parallel algorithms that yield $o(n^2)$ time algorithms for finding $k$-(sub-)cadences and equidistant subsequences. Furthermore, $O(n\log^2 n)$ and $O(n\log n)$ time algorithms, respectively for equidistant and Abelian equidistant matching for the case $|P| = 3$, are shown. The algorithms make use of a technique that was recently introduced which can efficiently compute convolutions with linear constraints.
Year
DOI
Venue
2020
10.4230/LIPIcs.CPM.2020.12
CPM
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Funakoshi Mitsuru100.34
Yuto Nakashima25719.52
Shunsuke Inenaga359579.02
Hideo Bannai462079.87
Masayuki Takeda590279.24
Ayumi Shinohara693688.28