Longest cycles in 3-connected hypergraphs and bipartite graphs

Alexandr Kostochka, Mikhail Lavrov, Ruth Luo, Dara Zirlin

Research output: Contribution to journalArticlepeer-review

Abstract

In the language of hypergraphs, our main result is a Dirac-type bound: We prove that every 3-connected hypergraph (Formula presented.) with (Formula presented.) has a hamiltonian Berge cycle. This is sharp and refines a conjecture by Jackson from 1981 (in the language of bipartite graphs). Our proofs are in the language of bipartite graphs, since the incidence graph of each hypergraph is bipartite.

Original languageEnglish (US)
JournalJournal of Graph Theory
DOIs
StateAccepted/In press - 2021

Keywords

  • degree conditions
  • longest cycles
  • pancyclic hypergraphs

ASJC Scopus subject areas

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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