Journal of the Operations Research Society of China
Special Issue: Discrete optimization
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Abstract: In this paper, we study the adjacency and signless Laplacian tensors of cored hypergraphs and power hypergraphs. We investigate the properties of their adjacency and signlessLaplacian H-eigenvalues.Especially,wefind out the largest H-eigenvalues of adjacency and signless Laplacian tensors for uniform squids. We also compute the H-spectra of sunflowers and some numerical results are reported for the H-spectra.
Key words: H-eigenvalue ·, Hypergraph ·, Adjacency tensor ·, Signless Laplacian tensor ·, Sunflower ·, Squid
Jun-Jie Yue · Li-Ping Zhang· Mei Lu· Li-Qun Qi. The Adjacency and Signless Laplacian Spectra of Cored Hypergraphs and Power Hypergraphs[J]. Journal of the Operations Research Society of China, doi: 10.1007/s40305-016-0141-3.
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URL: https://www.jorsc.shu.edu.cn/EN/10.1007/s40305-016-0141-3
https://www.jorsc.shu.edu.cn/EN/Y2017/V5/I1/27
