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A hypergraph convolution-based intelligent healthcare platform for aging population management. [PDF]
Li W, Hou B, Wang XX.
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YOLOv13-ADR: An Adaptive Deformable Convolution and Neighborhood-Aware Recombination Network for Wind Turbine Blade Defect Detection. [PDF]
Wang X +4 more
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The Laplacian of a uniform hypergraph
Journal of Combinatorial Optimization, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liqun Qi, Shenglong Hu
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The Uniformity Lemma for hypergraphs
Graphs and Combinatorics, 1992This is an extension of Szemerédi's theorem called the Uniformity Lemma for Graphs (see \textit{E. Szemerédi} [Problèmes combinatoires et théorie des graphes, Orsay 1976, Colloq. int. CNRS No. 260, 399-401 (1978; Zbl 0413.05055)]) to \(r\)-uniform hypergraphs. Two applications of the result are announced: proof of a conjecture of Erdős concerning Turán-
Peter Frankl, Vojtech Rödl
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2020
Summary: Non-uniform hypergraphs are a generalization of hypergraphs in which not all edges need to have the same cardinality. It allows them to support a more complex data structure. In this paper, we extend some results for non-uniform hypergraphs and generalize the spectral results for uniform hypergraphs to non-uniform hypergraphs.
SHIRDEL, G.H. +2 more
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Summary: Non-uniform hypergraphs are a generalization of hypergraphs in which not all edges need to have the same cardinality. It allows them to support a more complex data structure. In this paper, we extend some results for non-uniform hypergraphs and generalize the spectral results for uniform hypergraphs to non-uniform hypergraphs.
SHIRDEL, G.H. +2 more
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On the capacity of uniform hypergraphs
IEEE Transactions on Information Theory, 1990The capacity of uniform hypergraphs can be defined as a natural generalization of the Shannon capacity of graphs. Corresponding to every uniform hypergraph there is a discrete memoryless channel in which the zero error capacity, in the case of the smallest list size for which it is positive, equals the capacity of the hypergraph, and vice versa.
KORNER, JANOS, Katalin Marton
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On the Turán Density of Uniform Hypergraphs
Acta Mathematicae Applicatae Sinica, English Series, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, An, Gao, Guo-rong
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Approximate coloring of uniform hypergraphs
Journal of Algorithms, 2003Summary: 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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Learning a hidden uniform hypergraph
Optimization Letters, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huilan Chang +2 more
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