Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (4): 759-764.

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Moore-Penrose Generalized Inverse of Adjacency Matrix of a Class of Trees

WANG Yuhao1, LIU Fenjin1, XU Jianfeng2   

  1. 1. School of Science, Chang’an University, Xi’an 710064, China;2. China Mobile Communications Group Zhejiang Co., Ltd. Hangzhou Branch, Hangzhou 310005, China
  • Received:2023-10-07 Online:2024-07-26 Published:2024-07-26

Abstract: Based on the properties of the matrix structure, we used the block matrix techniques to give the specific form for the Moore-Penrose generalized inverse of the adjacency matrix of caterpillar trees with any number of vertices and any diameter length, which provided theoretical support for further study of the algebraic properties of caterpillar trees.

Key words: tree, adjacency matrix, block matrix, Moore-Penrose generalized inverse

CLC Number: 

  • O157.5