Dynamic and internal longest common substring

A Amir, P Charalampopoulos, SP Pissis… - Algorithmica, 2020 - Springer
Given two strings S and T, each of length at most n, the longest common substring (LCS)
problem is to find a longest substring common to S and T. This is a classical problem in …

[HTML][HTML] EERTREE: an efficient data structure for processing palindromes in strings

M Rubinchik, AM Shur - European Journal of Combinatorics, 2018 - Elsevier
We propose a new linear-size data structure which provides a fast access to all palindromic
substrings of a string or a set of strings. This structure inherits some ideas from the …

[PDF][PDF] Palindromic length in linear time

K Borozdin, D Kosolobov, M Rubinchik… - … Annual Symposium on …, 2017 - drops.dagstuhl.de
Palindromic length of a string is the minimum number of palindromes whose concatenation
is equal to this string. The problem of finding the palindromic length drew some attention …

Comparing degenerate strings

M Alzamel, LAK Ayad, G Bernardini… - Fundamenta …, 2020 - content.iospress.com
Uncertain sequences are compact representations of sets of similar strings. They highlight
common segments by collapsing them, and explicitly represent varying segments by listing …

Longest common substring made fully dynamic

A Amir, P Charalampopoulos, SP Pissis… - arXiv preprint arXiv …, 2018 - arxiv.org
In the longest common substring (LCS) problem, we are given two strings $ S $ and $ T $,
each of length at most $ n $, and we are asked to find a longest string occurring as a …

Counting palindromes in substrings

M Rubinchik, AM Shur - International Symposium on String Processing and …, 2017 - Springer
We propose a data structure and an online algorithm to report the number of distinct
palindromes in any substring of an input string. Assume that the string S of length n arrives …

Degenerate string comparison and applications

M Alzamel, G Bernardini, RP Grossi… - WABI 2018-18th …, 2018 - inria.hal.science
A generalised degenerate string (GD string) S^ is a sequence of n sets of strings of total size
N, where the ith set contains strings of the same length k_i but this length can vary between …

[HTML][HTML] Maximal degenerate palindromes with gaps and mismatches

M Alzamel, C Hampson, CS Iliopoulos, Z Lim… - Theoretical Computer …, 2023 - Elsevier
A degenerate symbol over an alphabet Σ is a non-empty subset of Σ, and a sequence of
such symbols is a degenerate string. We investigate the exact computation of maximal …

On the size of Lempel-Ziv and Lyndon factorizations

J Kärkkäinen, D Kempa, Y Nakashima… - arXiv preprint arXiv …, 2016 - arxiv.org
Lyndon factorization and Lempel-Ziv (LZ) factorization are both important tools for analysing
the structure and complexity of strings, but their combinatorial structure is very different. In …

Longest Palindromic Substring in Sublinear Time

P Charalampopoulos, SP Pissis… - … Annual Symposium on …, 2022 - drops.dagstuhl.de
We revisit the classic algorithmic problem of computing a longest palidromic substring. This
problem is solvable by a celebrated 𝒪 (n)-time algorithm [Manacher, J. ACM 1975], where n …