ABSTRACT

The formula for the spectral moment of graphs which is represented by the number of subgraphs is called the RNS spectral moment formula of graphs. In this paper, the research on the RNS spectral moment formula of graphs is generalized to hypergraphs. We give a formula for the spectral moment of a hypertree in terms of the number of some subhypertrees. Using this formula, we obtain the first 3k codegree coefficients of the characteristic polynomial of a k-uniform hypertree in terms of the number of some subhypertrees.

中文翻译：

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超树的谱矩及其应用

摘要

用子图个数表示的图的谱矩公式称为图的RNS谱矩公式。本文将图的RNS谱矩公式研究推广到超图。我们根据一些子超树的数量给出了超树谱矩的公式。使用这个公式，我们根据一些子超树的数量获得了k -均匀超树的特征多项式的前 3 k个码度系数。