OJDM  Vol.2 No.1 , January 2012
On the Line Graph of the Complement Graph for the Ring of Gaussian Integers Modulo n
ABSTRACT
The line graph for the complement of the zero divisor graph for the ring of Gaussian integers modulo n is studied. The diameter, the radius and degree of each vertex are determined. Complete characterization of Hamiltonian, Eulerian, planer, regular, locally and locally connected is given. The chromatic number when is a power of a prime is computed. Further properties for and are also discussed.

Cite this paper
M. Ghanem and K. Nazzal, "On the Line Graph of the Complement Graph for the Ring of Gaussian Integers Modulo n," Open Journal of Discrete Mathematics, Vol. 2 No. 1, 2012, pp. 24-34. doi: 10.4236/ojdm.2012.21006.
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