TY - GEN

T1 - The Parameterized Suffix Tray

AU - Fujisato, Noriki

AU - Nakashima, Yuto

AU - Inenaga, Shunsuke

AU - Bannai, Hideo

AU - Takeda, Masayuki

N1 - Funding Information:
Acknowledgments. This work was supported by JSPS KAKENHI Grant Numbers JP18K18002 (YN), JP17H01697 (SI), JP20H04141 (HB), JP18H04098 (MT), and JST PRESTO Grant Number JPMJPR1922 (SI).
Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

PY - 2021

Y1 - 2021

N2 - Let Σ and Π be disjoint alphabets, respectively called the static alphabet and the parameterized alphabet. Two strings x and y over Σ∪ Π of equal length are said to parameterized match (p-match) if there exists a renaming bijection f on Σ and Π which is identity on Σ and maps the characters of x to those of y so that the two strings become identical. The indexing version of the problem of finding p-matching occurrences of a given pattern in the text is a well-studied topic in string matching. In this paper, we present a state-of-the-art indexing structure for p-matching called the parameterized suffix tray of an input text T, denoted by PSTray(T). We show that PSTray(T) occupies O(n) space and supports pattern matching queries in O(m+ log (σ+ π) + occ) time, where n is the length of t, m is the length of a query pattern P, π is the number of distinct symbols of | Π| in T, σ is the number of distinct symbols of | Σ| in T and occ is the number of p-matching occurrences of P in T. We also present how to build PSTray(T) in O(n) time from the parameterized suffix tree of T.

AB - Let Σ and Π be disjoint alphabets, respectively called the static alphabet and the parameterized alphabet. Two strings x and y over Σ∪ Π of equal length are said to parameterized match (p-match) if there exists a renaming bijection f on Σ and Π which is identity on Σ and maps the characters of x to those of y so that the two strings become identical. The indexing version of the problem of finding p-matching occurrences of a given pattern in the text is a well-studied topic in string matching. In this paper, we present a state-of-the-art indexing structure for p-matching called the parameterized suffix tray of an input text T, denoted by PSTray(T). We show that PSTray(T) occupies O(n) space and supports pattern matching queries in O(m+ log (σ+ π) + occ) time, where n is the length of t, m is the length of a query pattern P, π is the number of distinct symbols of | Π| in T, σ is the number of distinct symbols of | Σ| in T and occ is the number of p-matching occurrences of P in T. We also present how to build PSTray(T) in O(n) time from the parameterized suffix tree of T.

UR - http://www.scopus.com/inward/record.url?scp=85106165456&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85106165456&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-75242-2_18

DO - 10.1007/978-3-030-75242-2_18

M3 - Conference contribution

AN - SCOPUS:85106165456

SN - 9783030752415

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 258

EP - 270

BT - Algorithms and Complexity - 12th International Conference, CIAC 2021, Proceedings

A2 - Calamoneri, Tiziana

A2 - Corò, Federico

PB - Springer Science and Business Media Deutschland GmbH

T2 - 12th International Conference on Algorithms and Complexity, CIAC 2021

Y2 - 10 May 2021 through 12 May 2021

ER -