The Square of Some Generalized Hamming Graphs

Yipeng Li, Jing Zhang () and Meili Wang
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Yipeng Li: Department of Applied Mathematics, Xi’an University of Science and Technology, Xi’an 710054, China
Jing Zhang: Modern Industrial Innovation Practice Center, Dongguan Polytechnic College, Dongguan 523109, China
Meili Wang: Department of Applied Mathematics, Xi’an University of Science and Technology, Xi’an 710054, China

Mathematics, 2023, vol. 11, issue 11, 1-21

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.

Keywords: generalized Hamming graph; NEPS; Cayley graph; eigenvalue (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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