Isolde Adler ; Georg Gottlob ; Martin Grohe - Hypertree-Width and Related Hypergraph Invariants

dmtcs:3424 - Discrete Mathematics & Theoretical Computer Science, January 1, 2005, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05) - https://doi.org/10.46298/dmtcs.3424
Hypertree-Width and Related Hypergraph InvariantsArticle

Authors: Isolde Adler 1; Georg Gottlob ORCID2; Martin Grohe ORCID3

  • 1 Mathematisches Institut, Abteilung für Mathematische Logik
  • 2 Institut für Informationssysteme [Wien]
  • 3 Institut fur Informatik

We study the notion of hypertree-width of hypergraphs. We prove that, up to a constant factor, hypertree-width is the same as a number of other hypergraph invariants that resemble graph invariants such as bramble-number, branch-width, linkedness, and the minimum number of cops required to win Seymour and Thomas's robber and cops game.

https://doi.org/10.46298/dmtcs.3424
Source: HAL:hal-01184381v1
Volume: DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Section: Proceedings
Published on: January 1, 2005
Imported on: May 10, 2017
Keywords: hypergraphs,tree decompositions,hypertree width,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]
Funding:
    Source : OpenAIRE Graph
  • Complementary Approaches to Constraint Satisfaction; Funder: Austrian Science Fund (FWF); Code: P 17222

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