Saturation Number of Berge Stars in Random Hypergraphs
نویسندگان
چکیده
منابع مشابه
Forbidden Berge Hypergraphs
A simple matrix is a (0,1)-matrix with no repeated columns. For a (0,1)-matrix F , we say that a (0,1)-matrix A has F as a Berge hypergraph if there is a submatrix B of A and some row and column permutation of F , say G, with G 6 B. Letting ‖A‖ denote the number of columns in A, we define the extremal function Bh(m,F ) = max{‖A‖ : A m-rowed simple matrix and no Berge hypergraph F}. We determine...
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A Hamilton Berge cycle of a hypergraph on n vertices is an alternating sequence (v1, e1, v2, . . . , vn, en) of distinct vertices v1, . . . , vn and distinct hyperedges e1, . . . , en such that {v1, vn} ⊆ en and {vi, vi+1} ⊆ ei for every i ∈ [n − 1]. We prove a Dirac-type theorem for Hamilton Berge cycles in random r-uniform hypergraphs by showing that for every integer r ≥ 3 there exists k = k...
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In any r-uniform hypergraph H for 2 ≤ t ≤ r we define an runiform t-tight Berge-cycle of length , denoted by C , as a sequence of distinct vertices v1, v2, . . . , v , such that for each set (vi , vi+1, . . . ,vi+t−1 ) of t consecutive vertices on the cycle, there is an edge Ei of H that contains these t vertices and the edges Ei are all distinct for i, 1 ≤ i ≤ , where + j ≡ j. For t = 2 we get...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2020
ISSN: 1077-8926
DOI: 10.37236/9302