相关期刊:《Acta Mathematicae Applicatae Sinica》《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》《Journal of the Operations Research Society of China》更多>>
Supported by the Natural Science Foundation of Chongqing(CSTB2022NSCQ-MSX0884)。
Graph labeling is the assignment of integers to the vertices,edges,or both,subject to certain conditions.Accordingly,hypergraph labeling is also the assignment of integers to the vertices,edges,or both,subject to cert...
Supported by the Science and Technology Project of Hebei Education Department (ZD2022168);the Research and Innovation Team of Cang‐zhou Normal University (cxtdl2304)。
In this paper,we define the weighted embedded homology of super-hypergraphs,give a quasi-partial order and a pseudo-metric on the set made up of all non-vanishing weights on a finite set,and clarify the relationship b...
Supported by the National Natural Science Foundation of China(Grant No.12371516);the Natural Science Foundation of Liaoning Province(Grant No.2022-MS-152);the Fundamental Research Funds for the Central Universities(Grant No.DUT22LAB305)。
This paper mainly studies the influence maximization problem of threshold models in hypergraphs,which aims to identify the most influential nodes in hypergraphs.Firstly,we introduce a novel information diffusion rule ...
supported by the National Natural Science Foundation of China(No.12171089).
Let H be a hypergraph with vertex set V(H)and hyperedge set E(H).We call a vertex set R ■V(H)a transversal if it has a nonempty intersection with every hyperedge of H.The transversal number,denoted by τ(H),is the mi...
Zhejiang Provincial Natural Science Foundation of China(LQ22F020017);National Natural Science Foundation of China(62302137);Open Project Program of the State Key Lab of CAD&CG of Zhejiang University(A2104).
Influence maximization(IM)algorithms play a significant role in hypergraph analysis tasks,such as epidemic control analysis,viral marketing,and social influence analysis,and various IM algorithms have been proposed.Th...
Ng was supported in part by Hong Kong Research Grant Council General Research Fund(GRF),China(Nos.12300218,12300519,117201020,17300021,CRF C1013-21GF,C7004-21GF and Joint NSFC-RGC NHKU76921);Wu is supported by National Natural Science Foundation of China(No.62206111);Young Talent Support Project of Guangzhou Association for Science and Technology,China(No.QT-2023-017);Guangzhou Basic and Applied Basic Research Foundation,China(No.2023A04J1058);Fundamental Research Funds for the Central Universities,China(No.21622326);China Postdoctoral Science Foundation(No.2022M721343).
Graph neural networks have been shown to be very effective in utilizing pairwise relationships across samples.Recently,there have been several successful proposals to generalize graph neural networks to hypergraph neu...
An edge coloring of hypergraph H is a function such that holds for any pair of intersecting edges . The minimum number of colors in edge colorings of H is called the chromatic index of H and is denoted by . Erdös, ...
Supported by the National Natural Science Foundation of China (Grant No. 12071265);the Natural Science Foundation of Shandong Province (Grant No. ZR2019MA032)。
A k-edge coloring of a hypergraph H is a coloring of the edges of H with k colors such that any two intersecting edges receive distinct colors. The Erdos-Faber-Lovasz conjecture states that every loopless linear hyper...
the National Natural Science Foundation of China(No.12171089)。
Let p,q be two positive integers.The 3-graph F(p,q)is obtained from the complete 3-graph K_(p)^(3)by adding q new vertices and P_(q/2)new edges of the form vxy for which v∈V(K_p~3)and{x,y}are new vertices.It frequent...
supported by China Postdoctoral Science Foundation(No.2022M721023)。
Let V be a finite set.Let K be a simplicial complex with its vertices in V.In this paper,the author discusses some differential calculus on V.He constructs some constrained homology groups of K by using the differenti...