Characterization and recognition of edge intersection graphs of trichromatic hypergraphs with finite multiplicity in the class of split graphs by T. V. Lubasheva

Subjects: “…edge intersection graph of hypergraph…”
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A class of inequalities relating degrees of adjacent nodes to the average degree in edge-weighted uniform hypergraphs by P. D. Johnson, R. N. Mohapatra

“…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 than the average degree in the hypergraph, with equality only if the hypergraph is regular. …”
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Hypergraph Regularized Discriminative Nonnegative Matrix Factorization on Sample Classification and Co-Differentially Expressed Gene Selection by Yong-Jing Hao, Ying-Lian Gao, Mi-Xiao Hou, Ling-Yun Dai, Jin-Xing Liu

“…To solve the above problem, this paper proposed a new method called Hypergraph Regularized Discriminative Nonnegative Matrix Factorization (HDNMF), which captures intrinsic geometry by constructing hypergraphs rather than simple graphs. …”
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Impacts from cascading multi-hazards using hypergraphs: a case study from the 2015 Gorkha earthquake in Nepal by A. Dunant, T. R. Robinson, A. L. Densmore, N. J. Rosser, R. M. Rajbhandari, M. Kincey, S. Li, P. R. Awasthi, M. Van Wyk de Vries, M. Van Wyk de Vries, R. Guragain, E. Harvey, S. Dadson

“…<p>This study introduces a new approach to multi-hazard risk assessment, leveraging hypergraph theory to model the interconnected risks posed by cascading natural hazards. …”
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Hypernetwork link prediction method based on the SCL-CMM model by REN Yuyuan, MA Hong, LIU Shuxin, WANG Kai

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Higher-order topology for collective motions by Zijie Sun, Tianjiang Hu

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Attention aware edge-node exchange graph neural network by Ruiqin WANG, Yimin HUANG, Qishun JI, Chaoyi WAN, Zhifeng ZHOU

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Geographical Peer Matching for P2P Energy Sharing by Romaric Duvignau, Vincenzo Gulisano, Marina Papatriantafilou, Ralf Klasing

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Modeling, evaluation, and optimization for 6G network architecture by WANG Xiaoyun, LU Lu, LIU Chao, SHI Nanxiang, ZHANG Tong, PAN Xiaohan

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AdaEcoFusion: Adaptive Ecological Feature Fusion for Enhancing Postgraduate Training Work in the Context of &#x201C;Ecological Civilization&#x201D; by Jue Lu

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NOMA-Based Rate Optimization for Multi-UAV-Assisted D2D Communication Networks by Guowei Wu, Guifen Chen, Xinglong Gu

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Resource allocation strategy for ultra-dense Internet of things based on graph convolutional neural network by HUANG Jie, LI Xingxing, YANG Fan, DING Ruijie, CAI Jieliang, YAO Fenghang, ZHANG Xin

“…Then, using the concepts of maximal cliques and hypergraph theory, the conflict graph model was transformed into a conflict hypergraph model. …”
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A single changing hypernetwork to represent (social-)ecological dynamics by Gaucherel, Cédric, Cosme, Maximilian, Noûs, Camille, Pommereau, Franck

“…We illustrate in a simple example that any ecosystem can be represented by a single hypergraph, here called the ecosystem hypernetwork. …”
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On the Maximum Estrada Index of 3-Uniform Linear Hypertrees by Faxu Li, Liang Wei, Jinde Cao, Feng Hu, Haixing Zhao

“…For a simple hypergraph H on n vertices, its Estrada index is defined as EE(H)=∑i=1n‍eλi, where λ1,λ2,…,λn are the eigenvalues of its adjacency matrix. …”
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Dominance-Partitioned Subgraph Matching on Large RDF Graph by Bo Ning, Yunhao Sun, Deji Zhao, Weikang Xing, Guanyu Li

“…Firstly, a dominance-connected pattern graph is extracted from a pattern graph to construct a dominance-partitioned pattern hypergraph, which divides a pattern graph as multiple fish-shaped pattern subgraphs. …”
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Low-density parity-check representation of fault-tolerant quantum circuits by Ying Li

“…As an example, we develop a resource-efficient scheme for universal fault-tolerant quantum computing on hypergraph product codes based on the LDPC representation.…”
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BACVC: Bi-adaptive and cross-view consistency for incomplete multi-view subspace clustering by Jiaqiyu Zhan, Yuesheng Zhu, Guibo Luo

“…We then introduce a data-adaptive non-uniform hypergraph-induced hyper-Laplacian regularization to model high-order correlations and guide the recovery of incomplete data. …”
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Persistent Topological Laplacians—A Survey by Xiaoqi Wei, Guo-Wei Wei

“…In this survey, we offer a pedagogical review of persistent topological Laplacians formulated in various mathematical settings, including simplicial complexes, path complexes, flag complexes, digraphs, hypergraphs, hyperdigraphs, cellular sheaves, and <i>N</i>-chain complexes.…”
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Solving non-binary constraint satisfaction problems using GHD and restart. by Fatima AIT HATRIT, Kamal AMROUN, Professor

“… The non-binary instances of the Constraint Satisfaction Problem (CSP) could be efficiently solved if their constraint hypergraphs have small generalized hypertree widths. …”
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Enumerating 6D supergravities with T ≤ 1 by Yuta Hamada, Gregory J. Loges

“…Generalizing previous techniques, we describe a general algorithm using multi-hypergraphs and simplicial complexes to systematically enumerate anomaly-free models with gauge groups of any number of simple factors and with hypermultiplets falling into any representations. …”
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