Some Aspects of Unitary Addition Cayley Graph of Gaussian Integers Modulo n

Abstract

In this paper, the Unitary addition Cayley graph defined by Sinha et al. is extended to the ring of Gaussian integers modulo n. Some graph theoretic properties of unitary addition Cayley graphs of gaussian integers modulo n are discussed here. Moreover, the condition for which the above mentioned graphs are Eulerian and Hamiltonian are also discussed.