Title
Computing the Parameterized Burrows–Wheeler Transform Online
Abstract
Parameterized strings are a generalization of strings in that their characters are drawn from two different alphabets, where one is considered to be the alphabet of static characters and the other to be the alphabet of parameter characters. Two parameterized strings are a parameterized match if there is a bijection over all characters such that the bijection transforms one string to the other while keeping the static characters (i.e., it behaves as the identity on the static alphabet). Ganguly et al. [SODA 2017] proposed the parameterized Burrows–Wheeler transform (pBWT) as a variant of the Burrows–Wheeler transform for space-efficient parameterized pattern matching. In this paper, we propose an algorithm for computing the pBWT online by reading the characters of a given input string one-by-one from right to left. Our algorithm works in $$O(|\varPi | \log n/\log \log n)$$ amortized time for each input character, where n and $$\varPi $$ denote the size of the input string and the alphabet of the parameter characters, respectively.
Year
DOI
Venue
2022
10.1007/978-3-031-20643-6_6
String Processing and Information Retrieval
Keywords
DocType
ISSN
Burrows–Wheeler transform, Parameterized string, Online algorithm
Conference
0302-9743
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Daiki Hashimoto100.68
Diptarama Hendrian201.01
Dominik Köppl300.34
Ryo Yoshinaka417226.19
Ayumi Shinohara593688.28