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Finding Linear Arrangements of Hypergraphs with Bounded Cutwidth in Linear Time

Author Thekla Hamm

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Author Details

Thekla Hamm
  • Algorithms and Complexity Group, TU Wien, Vienna, Austria

Funding

Supported by the Austrian Science Fund (FWF, Project P31336 and Project W1255-N23).

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Thekla Hamm. Finding Linear Arrangements of Hypergraphs with Bounded Cutwidth in Linear Time. In 14th International Symposium on Parameterized and Exact Computation (IPEC 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 148, pp. 20:1-20:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
https://doi.org/10.4230/LIPIcs.IPEC.2019.20

Abstract

Cutwidth is a fundamental graph layout parameter. It generalises to hypergraphs in a natural way and has been studied in a wide range of contexts. For graphs it is known that for a fixed constant k there is a linear time algorithm that for any given G, decides whether G has cutwidth at most k and, in the case of a positive answer, outputs a corresponding linear arrangement. We show that such an algorithm also exists for hypergraphs.

Subject Classification

ACM Subject Classification
  • Mathematics of computing → Permutations and combinations
  • Mathematics of computing → Hypergraphs
  • Theory of computation → Dynamic graph algorithms
Keywords
  • Fixed parameter linear
  • Path decomposition
  • Hypergraph

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