Results 41 to 50 of about 698,372 (216)
International Journal of Mathematics and Mathematical Sciences, 2005 In 1986, Johnson and Perry proved a class of inequalities for uniform hypergraphs which included the following: for any such hypergraph, the geometric mean over the hyperedges of the geometric means of the degrees of the nodes on the hyperedge is no less
P. D. Johnson, R. N. Mohapatra
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On the Sensitivity Complexity of k-Uniform Hypergraph Properties [PDF]
, 2017 In this paper we investigate the sensitivity complexity of hypergraph properties. We present a k-uniform hypergraph property with sensitivity complexity O(n^{ceil(k/3)}) for any k >= 3, where n is the number of vertices. Moreover, we can do better when k
Li, Qian, Sun, Xiaoming
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Saturated r-uniform hypergraphs
Discrete Mathematics, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul Erdös, Zoltán Füredi, Zsolt Tuza
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Almost Self-Complementary 3-Uniform Hypergraphs
Discussiones Mathematicae Graph Theory, 2017 It is known that self-complementary 3-uniform hypergraphs on n vertices exist if and only if n is congruent to 0, 1 or 2 modulo 4. In this paper we define an almost self-complementary 3-uniform hypergraph on n vertices and prove that it exists if and ...
Kamble Lata N. +2 more
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Covering Non-uniform Hypergraphs
Journal of Combinatorial Theory, Series B, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Endre Boros +3 more
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More Results on The Smallest One-Realization of A Given Set II
Discussiones Mathematicae Graph Theory, 2019 Let S be a finite set of positive integers. A mixed hypergraph ℋ is a onerealization of S if its feasible set is S and each entry of its chromatic spectrum is either 0 or 1.
Diao Kefeng, Lu Fuliang, Zhao Ping
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Domination game on uniform hypergraphs [PDF]
Discrete Applied Mathematics, 2019 In this paper we introduce and study the domination game on hypergraphs. This is played on a hypergraph $\mathcal{H}$ by two players, namely Dominator and Staller, who alternately select vertices such that each selected vertex enlarges the set of vertices dominated so far. The game is over if all vertices of $\mathcal{H}$ are dominated.
Csilla Bujtás +3 more
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Density Conditions for k $k$ Vertex‐Disjoint Triangles in Tripartite Graphs
Journal of Graph Theory, EarlyView.ABSTRACT Let n , k $n,k$ be positive integers such that n ≥ k $n\ge k$ and G $G$ be a tripartite graph with parts A , B , C $A,B,C$ such that ∣ A ∣ = ∣ B ∣ = ∣ C ∣ = n $| A| =| B| =| C| =n$. Denote the edge densities of G [ A , B ] , G [ A , C ] $G[A,B],G[A,C]$ and G [ B , C ] $G[B,C]$ by α , β $\alpha ,\beta $ and γ $\gamma $, respectively.
Mingyang Guo, Klas Markström
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Maximum packings of the a-fold complete 3-uniform hypergraph with loose 3-cycles [PDF]
, 2020 It is known that the 3-uniform loose 3-cycle decomposes the complete 3-uniform hypergraph of order v if and only if v ≡0, 1, or 2 (mod 9). For all positive integers λand v, we find a maximum packing with loose 3-cycles of the λ-fold ...
Liebrecht, Rachel +5 more
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Hypergraphs with infinitely many extremal constructions
Discrete Analysis, 2023 Hypergraphs with infinitely many extremal constructions, Discrete Analysis 2023:18, 34 pp. A fundamental result in extremal graph theory, Turán's theorem, states that the maximal number of edges of a graph with $n$ vertices that does not contain a ...
Jianfeng Hou +4 more
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