Lou-Jun Yu

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math.CO2023

The upper bound of the spectral radius for the hypergraphs without Berge-graphs

Wen-Huan Wang, Lou-Jun Yu

The spectral analogue of the Turán type problem for hypergraphs is to determine the maximum spectral radius for the hypergraphs of order $n$ that do not contain a given hypergraph.…

math.CO2023

A complete solution of the $k$ -uniform supertrees with the eight largest $α$ -spectral radii

Lou-Jun Yu, Wen-Huan Wang

Let $T (n, k)$ be the set of the $k$ -uniform supertrees with $n$ vertices and $m$ edges, where $k \geq 3$ , $n \geq 5$ and $m = \frac{n - 1}{k - 1}$ . % Let $m$ be the number of the…

The upper bound of the spectral radius for the hypergraphs without Berge-graphs

A complete solution of the k-uniform supertrees with the eight largest α-spectral radii

A complete solution of the $k$ -uniform supertrees with the eight largest $α$ -spectral radii