Permutation Pattern Matching for Doubly Partially Ordered Patterns - LS2N - équipe COMBI ( Combinatoire et Bio-informatique ) Accéder directement au contenu
Communication Dans Un Congrès Année : 2022

Permutation Pattern Matching for Doubly Partially Ordered Patterns

Résumé

We study in this paper the Doubly Partially Ordered Pattern Matching (or DPOP Matching) problem, a natural extension of the Permutation Pattern Matching problem. Permutation Pattern Matching takes as input two permutations σ and π, and asks whether there exists an occurrence of σ in π; whereas DPOP Matching takes two partial orders Pv and Pp defined on the same set X and a permutation π, and asks whether there exist |X| elements in π whose values (resp., positions) are in accordance with Pv (resp., Pp). Posets Pv and Pp aim at relaxing the conditions formerly imposed by the permutation σ, since σ yields a total order on both positions and values. Our problem being NP-hard in general (as Permutation Pattern Matching is), we consider restrictions on several parameters/properties of the input, e.g., bounding the size of the pattern, assuming symmetry of the posets (i.e., Pv and Pp are identical), assuming that one partial order is a total (resp., weak) order, bounding the length of the longest chain/anti-chain in the posets, or forbidding specific patterns in π. For each such restriction, we provide results which together give a(n almost) complete landscape for the algorithmic complexity of the problem.
Fichier principal
Vignette du fichier
POP_Pattern_Matching.pdf (817.3 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03624311 , version 1 (30-03-2022)

Identifiants

  • HAL Id : hal-03624311 , version 1

Citer

Laurent Bulteau, Guillaume Fertin, Vincent Jugé, Stéphane Vialette. Permutation Pattern Matching for Doubly Partially Ordered Patterns. 33rd Annual Symposium on Combinatorial Pattern Matching, Hideo Bannai and Jan Holub, Jun 2022, Prague, Czech Republic. ⟨hal-03624311⟩
66 Consultations
128 Téléchargements

Partager

Gmail Facebook X LinkedIn More