Tetravalent Normality Cayley Graphs over Groups of Odd Primes and Square Factor Products
WANG Li
LIN Liqing
Abstract：A Cayley graph X:=Cay(G,S)on Grelative to S(S ⊆ G\{1})is called normal if the right regular representation of the group G is normal in the full automorphism group Aut(X)of X.The full automorphism group of a graph is an important index to describe the symmetry of a graph.Cayley graph,as a highly symmetrical graph.The normality of Cayley graph can reflect the full automorphism group of the graph well,so as to describe the symmetry of the graph.In this paper,we determine the normality of connected tetravalent Cayley graphs of order pq2,where p,q are prime and p>q>5.
Keywords：finite groupnon abelian groupCayley graphnormality
Publication Date：2025-02-24
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 88-93 )