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THE NORMALITY OF CAYLEY GRAPHS OF FINITE ABELIAN GROUPS WITH VALENCY 5
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2000
Year
Coxeter GroupRepresentation TheoryGraph TheoryAlgebraic Graph TheoryTopological Graph TheoryNonnormal Cayley GraphsGroup RepresentationNilpotent GroupExtremal Graph TheoryValency 5Right Regular Representation
We call a Cayley digraph X = Cay(G, S) normal for G if the right regular representation of G is normal in the full automorphism group Ant(X) of X. In this paper, we give a classification of all nonnormal Cayley graphs of finite abelian groups with valency 5.