Results 11 to 20 of about 1,981 (215)
Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges [PDF]
In this paper we investigate the hypergraphs whose spectral radii attain the maximum among all uniform hypergraphs with given number of edges. In particular we characterize the hypergraph(s) with maximum spectral radius over all unicyclic hypergraphs ...
Fan Yi-Zheng +3 more
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Saturated r-uniform hypergraphs [PDF]
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Paul Erdös, Zoltán Füredi, Zsolt Tuza
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Wickets in 3-uniform hypergraphs [PDF]
In these notes, we consider a Turán-type problem in hypergraphs. What is the maximum number of edges if we forbid a subgraph? Let $H_n^{(3)}$ be a 3-uniform linear hypergraph, i.e. any two edges have at most one vertex common. A special hypergraph, called {\em wicket}, is formed by three rows and two columns of a $3 \times 3$ point matrix.
Solymosi, Jozsef
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Enumeration of unlabeled uniform hypergraphs [PDF]
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Qian, Jianguo, 钱建国
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Asymptotic Enumeration of Non-Uniform Linear Hypergraphs [PDF]
A linear hypergraph, also known as a partial Steiner system, is a collection of subsets of a set such that no two of the subsets have more than one element in common.
Hasheminezhad Mahdieh, McKay Brendan D.
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Approximate coloring of uniform hypergraphs [PDF]
Summary: We consider an algorithmic problem of coloring \(r\)-uniform hypergraphs. The problem of finding the exact value of the chromatic number of a hypergraph is known to be NP-hard, so we discuss approximate solutions to it. Using a simple construction and known results on hardness of graph coloring, we show that for any \(r\geq 3\) it is ...
Michael Krivelevich, Benny Sudakov
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On the α-Spectral Radius of Uniform Hypergraphs
For 0 ≤ α ---lt--- 1 and a uniform hypergraph G, the α-spectral radius of G is the largest H-eigenvalue of αD(G)+(1−α)A(G), where D(G) and A(G) are the diagonal tensor of degrees and the adjacency tensor of G, respectively. We give upper bounds for the α-
Guo Haiyan, Zhou Bo
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Quantum walks on regular uniform hypergraphs. [PDF]
Quantum walks on graphs have shown prioritized benefits and applications in wide areas. In some scenarios, however, it may be more natural and accurate to mandate high-order relationships for hypergraphs, due to the density of information stored ...
Liu Y, Yuan J, Duan B, Li D.
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Clique-symmetric uniform hypergraphs [PDF]
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McSorley, John P, Porter, Thomas
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Prime 3-Uniform Hypergraphs [PDF]
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Abderrahim Boussaïri +3 more
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