The incidence Q-spectral radius of a k-uniform hypergraph G with n vertices and m edges is defined as the spectral radius of the incidence Q-tensor Q⁎:=RIRT, where R is the incidence matrix of G, and I is an order k dimension m identity tensor. Since the (i1,i2,…,ik)-entry of Q⁎ is involved in the number of edges in G containing vertices i1,i2,…,ik simultaneously, more structural properties of G from the entry of Q⁎ than other commonly used tensors associated with hypergraphs may be discovered. In this paper, we present several bounds on the incidence Q-spectral radius of G in terms of degree sequences, which are better than some known results in some cases.

中文翻译：

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均匀超图的入射 [公式省略] 光谱半径的边界


具有 n 个顶点和 m 条边的 k 均匀超图 G 的入射 Q 谱半径定义为入射 Q 张量 Q⁎：=RIRT 的谱半径，其中 R 是 G 的入射矩阵，I 是 k 阶维度 m 恒等张量。由于 Q⁎ 的 （i1，i2,...,ik） 条目同时涉及 G 中同时包含顶点 i1，i2,...,ik 的边数，因此可能会发现 Q⁎ 条目中 G 的结构特性比与超图相关的其他常用张量更多。在本文中，我们提出了 G 入射 Q 谱半径的几个度数序列边界，在某些情况下，这些边界比一些已知的结果要好。