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20112026
most citedThe "Runs" Theorem

106 citations · 187 across the 45 of their papers we have counts for

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Showing 2019Show all

9 papers · 1 filter

cs.DS2019★ 1 cited

Minimal Unique Substrings and Minimal Absent Words in a Sliding Window

Takuya Mieno, Yuki Kuhara, Tooru Akagi +5

A substring of a string is called a minimal unique substring (MUS) of if occurs exactly once in and any proper substring of occurs at least twice in . A…

cs.DS2019

On Longest Common Property Preserved Substring Queries

Kazuki Kai, Yuto Nakashima, Shunsuke Inenaga +3

We revisit the problem of longest common property preserving substring queries introduced by~Ayad et al. (SPIRE 2018, arXiv 2018). We consider a generalized and unified on-line set…

cs.DS2019

Direct Linear Time Construction of Parameterized Suffix and LCP Arrays for Constant Alphabets

Noriki Fujisato, Yuto Nakashima, Shunsuke Inenaga +2

We present the first worst-case linear time algorithm that directly computes the parameterized suffix and LCP arrays for constant sized alphabets. Previous algorithms either requir…

cs.DS2019

Space-Efficient Algorithms for Computing Minimal/Shortest Unique Substrings

Takuya Mieno, Dominik Köppl, Yuto Nakashima +3

Given a string of length , a substring of is called a shortest unique substring (SUS) for an interval if (a) occurs exactly once in , (b) $u…

cs.DS2019★ 5 cited

c-trie++: A Dynamic Trie Tailored for Fast Prefix Searches

Kazuya Tsuruta, Dominik Köppl, Shunsuke Kanda +4

Given a dynamic set of strings of total length whose characters are drawn from an alphabet of size , a keyword dictionary is a data structure built on that provi…

cs.DS2019

The Parameterized Position Heap of a Trie

Noriki Fujisato, Yuto Nakashima, Shunsuke Inenaga +2

Let and be disjoint alphabets of respective size and . Two strings over of equal length are said to parameterized match (p-match) if there is a bijection $…

cs.DS2019

Fast Algorithms for the Shortest Unique Palindromic Substring Problem on Run-Length Encoded Strings

Kiichi Watanabe, Yuto Nakashima, Shunsuke Inenaga +2

For a string , a palindromic substring is said to be a \emph{shortest unique palindromic substring} () for an interval in , if occ…

cs.DS2019

Computing longest palindromic substring after single-character or block-wise edits

Mitsuru Funakoshi, Yuto Nakashima, Shunsuke Inenaga +2

Palindromes are important objects in strings which have been extensively studied from combinatorial, algorithmic, and bioinformatics points of views. It is known that the length of…

cs.DS2019

Efficiently computing runs on a trie

Ryo Sugahara, Yuto Nakashima, Shunsuke Inenaga +2

A maximal repetition, or run, in a string, is a maximal periodic substring whose smallest period is at most half the length of the substring. In this paper, we consider runs that c…