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.

中文翻译：

---

具有第二大或第三大光谱半径的线性单环超图

统一超图的谱半径定义为超图的邻接张量的谱半径。已知谱半径最大的唯一单圈超图是非线性超图，谱半径最大的唯一线性单圈超图是幂超图。在本文中，我们确定具有第二或第三大谱半径的唯一线性单环超图，其中前超图是幂超图，后超图是非幂超图。