Innovative Conditions on the Non-Normal Cayley Graphs of Valency Seven
A Cayley graph X = 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 Aut(X). In this paper, novel conditions are outlined to identify the
non-normal Cayley graphs of valency seven. As an application, some non-normal Cayley graphs of valency seven on A
6 and A
7 are obtained.
Keywords: AUTOMORPHISM GROUPS; CAYLEY GRAPH; NORMAL CAYLEY GRAPH
Document Type: Research Article
Publication date: 01 March 2018
- Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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