The Square of Some Generalized Hamming Graphs-Reference-Cited by-同舟云学术

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The Square of Some Generalized Hamming Graphs

Published:2023-05-28 Issue:11 Volume:11 Page:2487
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Li Yipeng¹,Zhang Jing²,Wang Meili¹

Affiliation:

1. Department of Applied Mathematics, Xi’an University of Science and Technology, Xi’an 710054, China

2. Modern Industrial Innovation Practice Center, Dongguan Polytechnic College, Dongguan 523109, China

Abstract

In this paper, we study the square of generalized Hamming graphs by the properties of abelian groups, and characterize some isomorphisms between the square of generalized Hamming graphs and the non-complete extended p-sum of complete graphs. As applications, we determine the eigenvalues of the square of some generalized Hamming graphs.

Funder

National Natural Science Foundation of China

Dongguan Science and Technology of Social Development Program

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/11/2487/pdf

Reference27 articles.

1. A survey on integral graphs;Balinska;Publ. Elektroteh. Fak. Ser. Mat.,2003

2. Wang, L. (2005). A Survey of Results on Integral Trees and Integral Graphs, Department of Applied Mathematics, University of Twente. Memorandum 1763.

3. Hahn, G., and Sabidussi, G. (1997). Graph Symmetry: Algebraic Methods and Applications, Springer.

4. On the subgroup perfects codes in Cayley graphs;Khaefi;Des. Code Cryptogr.,2023

5. Three-state quantum walk on the Cayley Graph of the Dihedral Group;Liu;Quantum Inf. Process.,2019

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