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A Note on Packing of Uniform Hypergraphs
Discussiones Mathematicae Graph Theory, 2022 We say that two n-vertex hypergraphs H1 and H2 pack if they can be found as edge-disjoint subhypergraphs of the complete hypergraph Kn. Whilst the problem of packing of graphs (i.e., 2-uniform hypergraphs) has been studied extensively since seventies ...
Konarski Jerzy +2 more
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Constructing and sampling partite, 3-uniform hypergraphs with given degree sequence. [PDF]
PLoS ONEPartite, 3-uniform hypergraphs are 3-uniform hypergraphs in which each hyperedge contains exactly one point from each of the 3 disjoint vertex classes. We consider the degree sequence problem of partite, 3-uniform hypergraphs, that is, to decide if such ...
András Hubai +4 more
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Tensor Entropy for Uniform Hypergraphs [PDF]
IEEE Transactions on Network Science and Engineering, 2020 In this paper, we develop the notion of entropy for uniform hypergraphs via tensor theory. We employ the probability distribution of the generalized singular values, calculated from the higher-order singular value decomposition of the Laplacian tensors, to fit into the Shannon entropy formula.
Can Chen
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Transversal numbers of uniform hypergraphs
Graphs and Combinatorics, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Noga Alon
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On the α-Spectral Radius of Uniform Hypergraphs
Discussiones Mathematicae Graph Theory, 2020 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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Prime 3-Uniform Hypergraphs [PDF]
Graphs and Combinatorics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abderrahim Boussaïri +3 more
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Heliyon, 2022 Topological invariants are numerical parameters of graphs or hypergraphs that indicate its topology and are known as graph or hypergraph invariants. In this paper, topological indices of hypergraphs such as Wiener index, degree distance index and Gutman ...
Sakina Ashraf +3 more
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On the irregularity of uniform hypergraphs [PDF]
European Journal of Combinatorics, 2018 14 ...
Lele Liu, Liying Kang, Erfang Shan
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Bounding the Number of Minimal Transversals in Tripartite 3-Uniform Hypergraphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 We focus on the maximum number of minimal transversals in 3-partite 3-uniform hypergraphs on n vertices. Those hypergraphs (and their minimal transversals) are commonly found in database applications.
Alexandre Bazin +3 more
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On the distance energy of k-uniform hypergraphs
Special Matrices, 2023 In this article, we extend the concept of distance energy for hypergraphs. We first establish a relation between the distance energy and the distance spectral radius.
Sharma Kshitij, Panda Swarup Kumar
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