Computing hypergraph width measures exactly


Autoria(s): Moll, Lukas; Tazari, Siamak; Thurley, Marc
Contribuinte(s)

Centre de Recerca Matemàtica

Data(s)

2011

Resumo

Hypergraph width measures are a class of hypergraph invariants important in studying the complexity of constraint satisfaction problems (CSPs). We present a general exact exponential algorithm for a large variety of these measures. A connection between these and tree decompositions is established. This enables us to almost seamlessly adapt the combinatorial and algorithmic results known for tree decompositions of graphs to the case of hypergraphs and obtain fast exact algorithms. As a consequence, we provide algorithms which, given a hypergraph H on n vertices and m hyperedges, compute the generalized hypertree-width of H in time O*(2n) and compute the fractional hypertree-width of H in time O(1.734601n.m).1

Formato

13

258955 bytes

application/pdf

Identificador

http://hdl.handle.net/2072/171357

Idioma(s)

eng

Publicador

Centre de Recerca Matemàtica

Relação

Prepublicacions del Centre de Recerca Matemàtica;1033

Direitos

Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)

Palavras-Chave #Hipergrafs #519.1 - Teoria general de l'anàlisi combinatòria. Teoria de grafs
Tipo

info:eu-repo/semantics/preprint