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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The complexity of recognizing $ABAB$-free hypergraphs [PDF]
Discrete Mathematics & Theoretical Computer ScienceThe study of geometric hypergraphs gave rise to the notion of $ABAB$-free hypergraphs. A hypergraph $\mathcal{H}$ is called $ABAB$-free if there is an ordering of its vertices such that there are no hyperedges $A,B$ and vertices $v_1,v_2,v_3,v_4$ in this
Gábor Damásdi +3 more
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Revisiting User Mobility and Social Relationships in LBSNs: A Hypergraph Embedding Approach
The Web Conference, 2019 Location Based Social Networks (LBSNs) have been widely used as a primary data source to study the impact of mobility and social relationships on each other.
Dingqi Yang +3 more
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The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs
Discussiones Mathematicae Graph Theory, 2016 A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, such that for every k-subset e of V , e ∈ E if and only if σ(e) ∉ E. In other words, H is isomorphic with H′ = (V ; V(
Kamble Lata N. +2 more
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Node Classification Method Based on Hierarchical Hypergraph Neural Network
SensorsHypergraph neural networks have gained widespread attention due to their effectiveness in handling graph-structured data with complex relationships and multi-dimensional interactions.
Feng Xu +3 more
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A Novel Algorithm for Imbalance Data Classification Based on Neighborhood Hypergraph
The Scientific World Journal, 2014 The classification problem for imbalance data is paid more attention to. So far, many significant methods are proposed and applied to many fields. But more efficient methods are needed still. Hypergraph may not be powerful enough to deal with the data in
Feng Hu, Xiao Liu, Jin Dai, Hong Yu
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Multi-omics data integration analysis of prostate cancer based on sparse least partial squares regression algorithm based on hypergraph regularization [PDF]
, 2023 Ruohui Huang +8 more
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Hypergraph-Mlp: Learning on Hypergraphs Without Message Passing
ICASSP 2024 - 2024 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)Hypergraphs are vital in modelling data with higher-order relations containing more than two entities, gaining prominence in machine learning and signal processing. Many hypergraph neural networks leverage message passing over hypergraph structures to enhance node representation learning, yielding impressive performances in tasks like hypergraph node ...
Tang, B, Chen, S, Dong, X
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Algorithmic Number On the Forehead Protocols Yielding Dense Ruzsa-Szemerédi Graphs and Hypergraphs [PDF]
, 2020 Noga Alon, Adi Shraibman
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Hypergraphes de Petersen! Hypergraphes de Moore?
Discrete Mathematics, 1993 RésuméOn étudie ici des sous structures des plan projectifs finis Pg(2,n) oú n est impair. Dans ceux-ci les (n + 1)-arcs induisent une décomposition canonique.Soit E l'ensemble des points, D celui des droites, appelons X l'ensemble des points d'un (n+1)-arc.
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