论文标题

第二或第三大光谱半径的线性独一超图

The linear unicyclic hypergraph with the second or third largest spectral radius

论文作者

Ding, Chao, Fan, Yi-Zheng, Wan, Jiang-Chao

论文摘要

均匀超图的光谱半径被定义为邻接张量的频谱半径。众所周知,具有最大光谱半径的唯一独立单车超图是非线性超图,而唯一的线性单轮式超图具有最大的光谱半径是功率超图。在本文中,我们用第二大光谱半径确定了独特的线性独立超图,其中以前的超图是功率超图,后者的超图是非功率超图。

The spectral radius of a uniform hypergraph is defined to be that of the adjacency tensor the hypergraph. It is known that the unique unicyclic hypergraph with the largest spectral radius is a nonlinear hypergraph, and the unique linear unicyclic hypergraph with the largest spectral radius is a power hypergraph. In this paper we determine the the unique linear unicyclic hypergraph with the second or third largest spectral radius, where the former hypergraph is a power hypergraph and the latter hypergraph is a non-power hypergraph.

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