On the Z-eigenvalues of the adjacency tensors for uniform hypergraphs |
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| Authors: | Jinshan Xie An Chang |
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| Institution: | 1. School of Mathematics and Computer Science, Longyan University, Longyan, 364012, PR China;2. Center for Discrete Mathematics, Fuzhou University, Fuzhou, Fujian, 350003, PR China |
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| Abstract: | The adjacency matrices for graphs are generalized to the adjacency tensors for uniform hypergraphs, and some fundamental properties for the adjacency tensor and its Z-eigenvalues of a uniform hypergraph are obtained. In particular, some bounds on the smallest and the largest Z-eigenvalues of the adjacency tensors for uniform hypergraphs are presented. |
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| Keywords: | 05C65 15A18 |
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