Results 21 to 30 of about 14,658 (182)
Hypergraph convolution and hypergraph attention [PDF]
Recently, graph neural networks have attracted great attention and achieved prominent performance in various research fields. Most of those algorithms have assumed pairwise relationships of objects of interest.
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Super edge-magic labeling for 𝒌-uniform, complete 𝒌-uniform and complete 𝒌-uniform 𝒌-partite hypergraphs [PDF]
Let 𝐻 be a hypergraph with a vertex set 𝑉 and a hyperedge set 𝐸. Generalized from the super edge-magic in a graph, we say that a hypergraph 𝐻 is super edge-magic if there is a bijection 𝑓: 𝑉 ∪ 𝐸 → {1,2,3, … , |𝑉| + |𝐸|} which satisfies: (i) there exists
Ratinan Boonklurb +2 more
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Automatic Software Module Partition Based on Hypergraph Model [PDF]
This paper applies the hypergraph model to design automatic software module partition algorithm.Under the hypergraph modeling,each significant class extracted from the source codes of an analyzing software system is abstracted as a vertex of a hypergraph,
WEI Xiaofeng,HU Jicheng,LUO Yong’en
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The k-annihilating-ideal hypergraph of commutative ring
The concept of the annihilating-ideal graph of a commutative ring was introduced by Behboodi et. al in 2011. In this paper, we extend this concept to the hypergraph for which we define an algebraic structure called k-annihilating-ideal of a commutative ...
K. Selvakumar, V. Ramanathan
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Multi-order hypergraph convolutional networks integrated with self-supervised learning
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
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Hypergraph Turán Problems in ℓ2-Norm [PDF]
There are various different notions measuring extremality of hypergraphs. In this survey we compare the recently introduced notion of the codegree squared extremal function with the Turán function, the minimum codegree threshold and the uniform Turán ...
Clemen, Felix Christian +2 more
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The continuous emergence of drug-target interaction data provides an opportunity to construct a biological network for systematically discovering unknown interactions.
Yan, C +17 more
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The treewidth of 2-section of hypergraphs [PDF]
Let $H=(V,F)$ be a simple hypergraph without loops. $H$ is called linear if $|f\cap g|\le 1$ for any $f,g\in F$ with $f\not=g$. The $2$-section of $H$, denoted by $[H]_2$, is a graph with $V([H]_2)=V$ and for any $ u,v\in V([H]_2)$, $uv\in E([H]_2)$ if ...
Ke Liu, Mei Lu
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Spatial data processing often requires massive datasets, and the task/data scheduling efficiency of these applications has an impact on the overall processing performance.
Bo Cheng, Xuefeng Guan, Huayi Wu, Rui Li
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Multi-site Hyper-graph Convolutional Neural Networks and Application [PDF]
Recently,the exploitation of graph neural networks for neurological brain disorder diagnosis has attracted much attention.However,the graphs used in the existing studies are usually based on the pairwise connections of different nodes,and thus cannot ...
ZHOU Hai-yu, ZHANG Dao-qiang
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