Symmetry properties of Cayley graphs of small valencies on the alternating group A(5)

The normality of symmetry property of Cayley graphs of valencies 3 and 4 on the alternating group A(5) is studied. We prove that all but four such graphs are normal; that A(5) is not 5-Cl. A complete classification of all arc-transitive Cayley graphs on A(5) of valencies 3 and 4 as well as some examples of trivalent and tetravalent GRRs of A(5) is given.Mathematics, AppliedMathematicsSCI(E)EI6ARTICLE4593-6044