论文标题
一般超图的光谱半径在集团数方面
The bounds of the spectral radius of general hypergraphs in terms of clique number
论文作者
论文摘要
一般超图的光谱半径（或无标志性的Laplacian光谱半径）是其邻接（或无迹象的Laplacian）张量的最大模量。在本文中，我们首先在集团数字上获得了一般超图的光谱半径（或无标志性的拉普拉斯光谱半径）的下限。此外，我们介绍了均质多项式与一般超图数量之间的关系。作为一种应用，我们最终从集团数字上获得了一般超图的光谱半径的上限。
The spectral radius (or the signless Laplacian spectral radius) of a general hypergraph is the maximum modulus of the eigenvalues of its adjacency (or its signless Laplacian) tensor. In this paper, we firstly obtain a lower bound of the spectral radius (or the signless Laplacian spectral radius) of general hypergraphs in terms of clique number. Moreover, we present a relation between a homogeneous polynomial and the clique number of general hypergraphs. As an application, we finally obtain an upper bound of the spectral radius of general hypergraphs in terms of clique number.
