A Cayley graph Cay(G, S) on a group G is said to be normal if the right regular representation R(G) of G is normal in the full automorphism group of Cay(G, S). In this paper, all connected tetravalent non-normal Cayley graphs of order 4p are constructed explicitly for each prime p. As a result, there are fifteen sporadic and eleven infinite families of tetravalent non-normal Cayley graphs of order 4p.
机构:
Univ Western Australia, Sch Math & Stat, Ctr Math Symmetry & Computat, Nedlands, WA, AustraliaUniv Western Australia, Sch Math & Stat, Ctr Math Symmetry & Computat, Nedlands, WA, Australia