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Start Over Author "Geetha, K." Topic graphic methods Journal international journal of mathematical combinatorics

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1. A Study on Cayley Graphs over Dihedral Groups.

Author

Riyas, A. and Geetha, K.

Subjects
*SMARANDACHE function, *GRAPHIC methods, *CAYLEY graphs, *HAMILTON'S equations, *COMPLETE graphs
Abstract

Let G be the dihedral group Dn and Cay(G, S) is the Cayley graph of G with respect to S, and let CG(x) is the centralizer of an element x in G and x is the orbit of x in G. In this paper, we prove that if G act on G by conjugation, the vertex induced subgraph with vertex set CG(x) of the Cayley graph Cay(G, x) is either Hamiltonian or it contain Hamiltonian decompositions. But if n is prime, it is always Hamiltonian. [ABSTRACT FROM AUTHOR]

Published
2017

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