The Ramsey number of diamond-matchings and loose cycles in hypergraphs.
Gyárfás, András, Sárközy, Gábor N., Szemerédi, Endre (2008)
The Electronic Journal of Combinatorics [electronic only]
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Gyárfás, András, Sárközy, Gábor N., Szemerédi, Endre (2008)
The Electronic Journal of Combinatorics [electronic only]
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Ernest Jucovič, František Olejník (1974)
Časopis pro pěstování matematiky
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František Olejník (1981)
Mathematica Slovaca
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Michael Henning, Christian Löwenstein (2012)
Open Mathematics
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Let H be a hypergraph on n vertices and m edges with all edges of size at least four. The transversal number τ(H) of H is the minimum number of vertices that intersect every edge. Lai and Chang [An upper bound for the transversal numbers of 4-uniform hypergraphs, J. Combin. Theory Ser. B, 1990, 50(1), 129–133] proved that τ(H) ≤ 2(n+m)/9, while Chvátal and McDiarmid [Small transversals in hypergraphs, Combinatorica, 1992, 12(1), 19–26] proved that τ(H) ≤ (n + 2m)/6. In this paper, we...
Michael A. Henning, Christian Löwenstein (2016)
Discussiones Mathematicae Graph Theory
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Let H = (V, E) be a hypergraph with vertex set V and edge set E. A dominating set in H is a subset of vertices D ⊆ V such that for every vertex v ∈ V D there exists an edge e ∈ E for which v ∈ e and e ∩ D ≠ ∅. The domination number γ(H) is the minimum cardinality of a dominating set in H. It is known [Cs. Bujtás, M.A. Henning and Zs. Tuza, Transversals and domination in uniform hypergraphs, European J. Combin. 33 (2012) 62-71] that for k ≥ 5, if H is a hypergraph of order n and size...
Yuster, Raphael (2006)
The Electronic Journal of Combinatorics [electronic only]
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