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Finding Linear Arrangements of Hypergraphs with Bounded Cutwidth in Linear Time

Author Thekla Hamm

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

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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)


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
  • Fixed parameter linear
  • Path decomposition
  • Hypergraph


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