Solving longest common subsequence problems via a transformation to the maximum clique problem

C Blum, M Djukanovic, A Santini, H Jiang, CM Li… - Computers & Operations …, 2021 - Elsevier
Longest common subsequence problems find various applications in bioinformatics, data
compression and text editing, just to name a few. Even though numerous heuristic …

Average sensitivity of dynamic programming

S Kumabe, Y Yoshida - Proceedings of the 2022 Annual ACM-SIAM …, 2022 - SIAM
When processing data with uncertainty, it is desirable that the output of the algorithm is
stable against small perturbations in the input. Varma and Yoshida [SODA'21] recently …

A biased random key genetic algorithm for solving the longest common square subsequence problem

J Reixach, C Blum, M Djukanović… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
This paper considers the longest common square subsequence (LCSqS) problem, a variant
of the longest common subsequence (LCS) problem in which solutions must be square …

Graph search and variable neighborhood search for finding constrained longest common subsequences in artificial and real gene sequences

M Djukanović, A Kartelj, D Matić, M Grbić, C Blum… - Applied Soft …, 2022 - Elsevier
We consider the constrained longest common subsequence problem with an arbitrary set of
input strings as well as an arbitrary set of pattern strings. This problem has applications, for …

Solving the longest common subsequence problem concerning non-uniform distributions of letters in input strings

B Nikolic, A Kartelj, M Djukanovic, M Grbic, C Blum… - Mathematics, 2021 - mdpi.com
The longest common subsequence (LCS) problem is a prominent NP–hard optimization
problem where, given an arbitrary set of input strings, the aim is to find a longest …

A hardness result and new algorithm for the longest common palindromic subsequence problem

S Inenaga, H Hyyrö - Information Processing Letters, 2018 - Elsevier
The 2-LCPS problem, first introduced by Chowdhury et al.(2014)[17], asks one to compute
(the length of) a longest common palindromic subsequence between two given strings A …

Computing longest common square subsequences

T Inoue, S Inenaga, H Hyyrö, H Bannai… - … Annual Symposium on …, 2018 - drops.dagstuhl.de
A square is a non-empty string of form YY. The longest common square subsequence
(LCSqS) problem is to compute a longest square occurring as a subsequence in two given …

Anytime algorithms for the longest common palindromic subsequence problem

M Djukanovic, GR Raidl, C Blum - Computers & Operations Research, 2020 - Elsevier
The longest common palindromic subsequence (LCPS) problem aims at finding a longest
string that appears as a subsequence in each of a set of input strings and is a palindrome at …

An A⁎ search algorithm for the constrained longest common subsequence problem

M Djukanovic, C Berger, GR Raidl, C Blum - Information Processing Letters, 2021 - Elsevier
The constrained longest common subsequence (CLCS) problem was introduced as a
specific measure of similarity between molecules. It is a special case of the constrained …

Longest common rollercoasters

K Fujita, Y Nakashima, S Inenaga, H Bannai… - String Processing and …, 2021 - Springer
For an integer k ≥ 3 k≥ 3, ak-rollercoaster is a numeric string such that any maximal strictly
non-increasing or non-decreasing substring has length at least k. We consider the problem …