一致超树的邻接张量的Z-谱半径

(1.厦门大学嘉庚学院信息科学与技术学院,福建 漳州 363105; 2.厦门理工学院应用数学学院,福建 厦门 361024)

一致超树; 邻接张量; Z-特征值; Z-谱半径

Z-spectral radius of the adjacency tensor of uniform supertrees
SHI Chao1,WANG Xiuwen1,ZHENG Yirong2*

(1.School of Information Science and Technology,Xiamen University Tan Kah Kee College,Zhangzhou 363105,China; 2.College of Applied Mathematics,Xiamen University of Technology,Xiamen 361024,China)

uniform supertrees; adjacency tensor; Z-eigenvalues; Z-spectral radius

DOI: 10.6043/j.issn.0438-0479.201806020

备注

设T是任意给定的r一致超树,ρsub>Z(T)是T的邻接张量的Z-谱半径.证明了当r≥3时,ρ/sub>Z(T)=r1-r/2.

Let T be an r-uniform supertree,and ρ/sub>Z(T)be the Z-spectral radius of the adjacency tensor of T. We show that ρ/sub>Z(T)=r1-r/2 with r≥3.