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Certain Structural Properties for the Direct Product of Cayley Graphs and Their Theoretical Applications
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Certain Structural Properties for the Direct Product of Cayley Graphs and Their Theoretical Applications
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Journal Article
Certain Structural Properties for the Direct Product of Cayley Graphs and Their Theoretical Applications
2024
Overview
Symmetry properties are of vital importance for graphs. The famous Cayley graph is a good mathematical model as its high symmetry. The normality of the graph can well reflect the symmetry of the graph. In this paper, we characterize the normality of the direct product of Cayley graphs and give a sufficient and necessary condition for the direct product of two graphs to be a Cayley graph. Moreover, a sufficient and necessary condition for judging the normality of the direct product of two graphs is given.
