On Extremal Hypergraphs for Hamiltonian Cycles
Copyright policy )On Extremal Hypergraphs for Hamiltonian Cycles
We study sufficient conditions for Hamiltonian cycles in hypergraphs, and obtain both Tur��n- and Dirac-type results. While the Tur��n-type result gives an exact threshold for the appearance of a Hamiltonian cycle in a hypergraph depending only on the extremal number of a certain path, the Dirac-type result yields a sufficient condition relying solely on the minimum vertex degree.
13 pages
- Institut für Mathematik Germany
- Freie Universität Berlin Germany
exact threshold, Extremal problems in graph theory, Eulerian and Hamiltonian graphs, Dirac-type results, minimum vertex degree, Hamiltonian cycles in hypergraphs, 05C35, 05C45, 05D40, 05C65, Hypergraphs, Theoretical Computer Science, Computational Theory and Mathematics, FOS: Mathematics, Mathematics - Combinatorics, Turan-type results, Geometry and Topology, Combinatorics (math.CO), Paths and cycles
exact threshold, Extremal problems in graph theory, Eulerian and Hamiltonian graphs, Dirac-type results, minimum vertex degree, Hamiltonian cycles in hypergraphs, 05C35, 05C45, 05D40, 05C65, Hypergraphs, Theoretical Computer Science, Computational Theory and Mathematics, FOS: Mathematics, Mathematics - Combinatorics, Turan-type results, Geometry and Topology, Combinatorics (math.CO), Paths and cycles
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