The Square of Some Generalized Hamming Graphs

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.

Automated summary

In this paper, the square of generalized Hamming graphs is studied using the properties of abelian groups and isomorphisms between the square of generalized Hamming graphs and the non-complete extended p-sum of complete graphs are characterized. As applications, the eigenvalues of the square of some generalized Hamming graphs are determined.