Longest common subsequence with gap constraints

D Adamson, M Kosche, T Koß, F Manea… - … on Combinatorics on …, 2023 - Springer
We consider the longest common subsequence problem in the context of subsequences
with gap constraints. In particular, following Day et al. 2022, we consider the setting when …

Matching patterns with variables under simon's congruence

P Fleischmann, S Kim, T Koß, F Manea… - International Conference …, 2023 - Springer
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On arch factorization and subword universality for words and compressed words

P Schnoebelen, J Veron - International Conference on Combinatorics on …, 2023 - Springer
Using arch-jumping functions and properties of the arch factorization of words, we propose a
new algorithm for computing the subword circular universality index of words. We also …

Discovering Multi-Dimensional Subsequence Queries from Traces--From Theory to Practice

S Kleest-Meißner, R Sattler, ML Schmid, N Schweikardt… - 2023 - dl.gi.de
Subsequence-queries with wildcards and gap-size constraints (swg-queries, for short) are
an expressive model for sequence data, in which queries are described by patterns over an …

Ranking and Unranking k-Subsequence Universal Words

D Adamson - International Conference on Combinatorics on Words, 2023 - Springer
A subsequence of a word w is a word u such that u= w [i 1] w [i 2],⋯ w [i| u|], for some set of
indices 1≤ i 1< i 2<⋯< ik≤| w|. A word w is k-subsequence universal over an alphabet Σ if …

Puzzling over subsequence-query extensions: Disjunction and generalised gaps

A Frochaux, S Kleest-Meißner - arXiv preprint arXiv:2305.08236, 2023 - arxiv.org
A query model for sequence data was introduced in [11] in the form of subsequence-queries
with wildcards and gap-size constraints (swg-queries, for short). These queries consist of a …

Directed regular and context-free languages

M Ganardi, I Saglam, G Zetzsche - arXiv preprint arXiv:2401.07106, 2024 - arxiv.org
We study the problem of deciding whether a given language is directed. A language $ L $
is\emph {directed} if every pair of words in $ L $ have a common (scattered) superword in …

Subsequences With Generalised Gap Constraints: Upper and Lower Complexity Bounds

F Manea, J Richardsen, ML Schmid - arXiv preprint arXiv:2404.10497, 2024 - arxiv.org
For two strings u, v over some alphabet A, we investigate the problem of embedding u into w
as a subsequence under the presence of generalised gap constraints. A generalised gap …

-Universality of Regular Languages

D Adamson, P Fleischmann, A Huch, T Koß… - arXiv preprint arXiv …, 2023 - arxiv.org
A subsequence of a word $ w $ is a word $ u $ such that $ u= w [i_1] w [i_2]\dots w [i_ {k}] $,
for some set of indices $1\leq i_1< i_2<\dots< i_k\leq\lvert w\rvert $. A word $ w $ is $ k …

Subsequence Pattern Matching with Segment Number Constraint

Y Yonemoto, T Mieno, S Inenaga, R Yoshinaka… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper is concerned with subsequences that consist of limited numbers of segments. We
call a subsequence\emph {$ f $-segmental} if it is composed of $ f $ factors. More precisely …