Results 31 to 40 of about 56,309 (276)
The existence of bipartite almost self-complementary 3-uniform hypergraphs [PDF]
Opuscula Mathematica, 2023 An almost self-complementary 3-uniform hypergraph on \(n\) vertices exists if and only if \(n\) is congruent to 3 modulo 4 A hypergraph \(H\) with vertex set \(V\) and edge set \(E\) is called bipartite if \(V\) can be partitioned into two subsets \(V_1\
L.N. Kamble +2 more
doaj +1 more source
Hypergraph expanders of all uniformities from Cayley graphs [PDF]
, 2020 Hypergraph expanders are hypergraphs with surprising, non-intuitive expansion properties. In a recent paper, the first author gave a simple construction, which can be randomized, of $3$-uniform hypergraph expanders with polylogarithmic degree.
Conlon, David +2 more
core +2 more sources
Self-Supervised Hypergraph Representation Learning for Sociological Analysis [PDF]
IEEE Transactions on Knowledge and Data Engineering, 2022 Modern sociology has profoundly uncovered many convincing social criteria for behavioral analysis. Unfortunately, many of them are too subjective to be measured and very challenging to be presented in online social networks (OSNs) for the large data ...
Xiangguo Sun +6 more
semanticscholar +1 more source
Infection in hypergraphs [PDF]
Discrete Applied Mathematics, 2018 In this paper a new parameter for hypergraphs called hypergraph infection is defined. This concept generalizes zero forcing in graphs to hypergraphs. The exact value of the infection number of complete and complete bipartite hypergraphs is determined. A formula for the infection number for interval hypergraphs and several families of cyclic hypergraphs
Ryan Bergen +8 more
openaire +2 more sources
AAAI Conference on Artificial Intelligence, 2022 Predicting the diffusion cascades is a critical task to understand information spread on social networks. Previous methods usually focus on the order or structure of the infected users in a single cascade, thus ignoring the global dependencies of users ...
Ling Sun +4 more
semanticscholar +1 more source
Equivariant Hypergraph Diffusion Neural Operators [PDF]
International Conference on Learning Representations, 2022 Hypergraph neural networks (HNNs) using neural networks to encode hypergraphs provide a promising way to model higher-order relations in data and further solve relevant prediction tasks built upon such higher-order relations.
Peihao Wang +4 more
semanticscholar +1 more source
Multi-order hypergraph convolutional networks integrated with self-supervised learning
Complex & Intelligent Systems, 2023 Hypergraphs, as a powerful representation of information, effectively and naturally depict complex and non-pair-wise relationships in the real world. Hypergraph representation learning is useful for exploring complex relationships implicit in hypergraphs.
Jiahao Huang +5 more
doaj +1 more source
IEEE Access, 2023 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
doaj +1 more source
Super edge-magic labeling for π-uniform, complete π-uniform and complete π-uniform π-partite hypergraphs [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2021 Let π» be a hypergraph with a vertex set π and a hyperedge set πΈ. Generalized from the super edge-magic in a graph, we say that a hypergraph π» is super edge-magic if there is a bijection π: π βͺ πΈ β {1,2,3, β¦ , |π| + |πΈ|} which satisfies: (i) there exists
Ratinan Boonklurb +2 more
doaj +1 more source
Characterizing the hypergraph-of-entity and the structural impact of its extensions
Applied Network Science, 2020 The hypergraph-of-entity is a joint representation model for terms, entities and their relations, used as an indexing approach in entity-oriented search.
JosΓ© Devezas, SΓ©rgio Nunes
doaj +1 more source