An upper estimate of the number of edges of a hypergraph with given diameter

О.Г. Руденская

Displaying similar documents to “An upper estimate of the number of edges of a hypergraph with given diameter”

On edge independence numbers and edge covering numbers of $k$ -uniform hypergraph

František Olejník (1989)

Mathematica Slovaca

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Constrained Colouring and σ-Hypergraphs

Yair Caro, Josef Lauri, Christina Zarb (2015)

Discussiones Mathematicae Graph Theory

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A constrained colouring or, more specifically, an (α, β)-colouring of a hypergraph H, is an assignment of colours to its vertices such that no edge of H contains less than α or more than β vertices with different colours. This notion, introduced by Bujtás and Tuza, generalises both classical hypergraph colourings and more general Voloshin colourings of hypergraphs. In fact, for r-uniform hypergraphs, classical colourings correspond to (2, r)-colourings while an important instance of...

Bounds on the Number of Edges of Edge-Minimal, Edge-Maximal and L-Hypertrees

Péter G.N. Szabó (2016)

Discussiones Mathematicae Graph Theory

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In their paper, Bounds on the number of edges in hypertrees, G.Y. Katona and P.G.N. Szabó introduced a new, natural definition of hypertrees in k- uniform hypergraphs and gave lower and upper bounds on the number of edges. They also defined edge-minimal, edge-maximal and l-hypertrees and proved an upper bound on the edge number of l-hypertrees. In the present paper, we verify the asymptotic sharpness of the [...] upper bound on the number of edges of k-uniform hypertrees given in the...