Analysis presents upper bounds on spectral radius in k-uniform hypergraphs, suggesting implications for graph theory.
For the hypergraphs among the set of the connected linear 3-uniform hypergraphs on n vertices without the Berge?Cl, we present two upper bounds for their spectral radius and ?-spectral radius, where l ? 5, n ? 3 and 0 ? ? < 1. In addition, for the hypergraphs among the set of the connected linear k-uniform hypergraphs on n vertices without the Berge?{Bs,K2,t}, we derive two upper bounds for their spectral radius and ?-spectral radius, where n, k ? 3, s ? 2, 1 ? t ? 1/2 (6k2 ? 15k + 10)(s ? 1) + 1, and 0 ? ? < 1.
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Wang et al. (2025) studied this question.
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