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- W3037243191 abstract "Abstract Given a hypergraph H of order n with rank k ≥ 2, denote by D ( H ) and A ( H ) the degree diagonal tensor and the adjacency tensor of H, respectively, of order k and dimension n. For real number α with 0 ≤ α α D ( H ) + ( 1 − α ) A ( H ) . First, we establish a upper bound on the α-spectral radius of connected irregular hypergraphs. Then we propose three local transformations of hypergraphs that increase the α-spectral radius. We also identify the unique hypertree with the largest α-spectral radius and the unique hypergraph with the largest α-spectral radius among hypergraphs of given number of pendent edges, and discuss the unique hypertrees with the next largest α-spectral radius and the unicyclic hypergraphs with the largest α-spectral radius." @default.
- W3037243191 created "2020-07-02" @default.
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- W3037243191 date "2020-12-01" @default.
- W3037243191 modified "2023-10-17" @default.
- W3037243191 title "The α-spectral radius of general hypergraphs" @default.
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- W3037243191 doi "https://doi.org/10.1016/j.amc.2020.125449" @default.
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