[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 …

[HTML][HTML] A subquadratic algorithm for minimum palindromic factorization

G Fici, T Gagie, J Kärkkäinen, D Kempa - Journal of Discrete Algorithms, 2014 - Elsevier
We give an O (n log⁡ n)-time, O (n)-space algorithm for factoring a string into the minimum
number of palindromic substrings. That is, given a string S [1.. n], in O (n log⁡ n) time our …

[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 …

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 …

[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 …

Diverse palindromic factorization is NP-complete

H Bannai, T Gagie, S Inenaga, J Kärkkäinen… - … in Language Theory …, 2015 - Springer
Diverse Palindromic Factorization Is NP-complete Page 1 Diverse Palindromic Factorization Is
NP-complete Hideo Bannai1, Travis Gagie2,3(B), Shunsuke Inenaga1, Juha Kärkkäinen2 …

Palindromic rich words and run-length encodings

C Guo, J Shallit, AM Shur - Information Processing Letters, 2016 - Elsevier
A length n word is (palindromic) rich if it contains the maximum possible number, which is n,
of distinct non-empty palindromic factors. We prove both necessary and sufficient conditions …

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

M Funakoshi, Y Nakashima, S Inenaga… - Theoretical Computer …, 2021 - Elsevier
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 …

On the combinatorics of palindromes and antipalindromes

C Guo, J Shallit, AM Shur - arxiv preprint arxiv:1503.09112, 2015 - arxiv.org
arxiv:1503.09112v1 [cs.FL] 31 Mar 2015 Page 1 arxiv:1503.09112v1 [cs.FL] 31 Mar 2015 On
the Combinatorics of Palindromes and Antipalindromes Chuan Guo1, Jeffrey Shallit1, and …

Palindromic decompositions with gaps and errors

M Adamczyk, M Alzamel… - … of Foundations of …, 2018 - World Scientific
Identifying palindromes in sequences has been an interesting line of research in
combinatorics on words and also in computational biology, after the discovery of the relation …