Results 31 to 40 of about 2,959 (186)
With the increasingly competitive job market, the employment issue for college graduates has received more and more attention. Predicting graduation development can help students understand their suitable graduation development, thus easing the pressure ...
Yong Ouyang +4 more
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Lagrangians of Hypergraphs [PDF]
How large can the Lagrangian of an r-graph with m edges be? Frankl and Füredi [1] conjectured that the r-graph of size m formed by taking the first m sets in the colex ordering of N(r) has the largest Lagrangian of all r-graphs of size m. We prove the first ‘interesting’ case of this conjecture, namely that the 3-graph with (t3) edges and ...
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Tiling multipartite hypergraphs in quasi-random hypergraphs
22 pages.
Laihao Ding +4 more
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Hypernetwork science via high-order hypergraph walks
We propose high-order hypergraph walks as a framework to generalize graph-based network science techniques to hypergraphs. Edge incidence in hypergraphs is quantitative, yielding hypergraph walks with both length and width.
Sinan G. Aksoy +4 more
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38 ...
Brendan Fong, David I. Spivak
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MSHC: a multi-stage hypergraph clustering algorithm
As a high-dimensional extension of ordinary graphs, hypergraphs can more flexibly reflect high-order complex relationships between nodes. Hypergraph clustering aims to discover complex high-order correlations in powerful hypergraph structures.
ZHANG Chunying +4 more
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An Efficient Algorithm for the Transversal Hypergraph Generation
The Transversal Hypergraph Generation is the problem of generating, given a hypergraph, the set of its minimal transversals, i.e., the hypergraph whose hyperedges are the minimal hitting sets of the given one.
Dimitris Kavvadias, Elias Stavropoulos
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A hypergraph $H$ is called universal for a family $\mathcal{F}$ of hypergraphs, if it contains every hypergraph $F \in \mathcal{F}$ as a copy. For the family of $r$-uniform hypergraphs with maximum vertex degree bounded by $\Delta$ and at most $n$ vertices any universal hypergraph has to contain $\Omega(n^{r-r/\Delta})$ many edges.
Samuel Hetterich +2 more
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AbstractThis paper is motivated by the question of how global and dense restriction sets in results from extremal combinatorics can be replaced by less global and sparser ones. The result we consider here as an example is Turán's theorem, which deals with graphs G = ([n],E) such that no member of the restriction set \documentclass{article} \usepackage ...
Peter Allen 0001 +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christian Garske +2 more
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