%0 Journal Article
%T On the Line Graph of the Zero Divisor Graph for the Ring of Gaussian Integers Modulo
%A Khalida Nazzal
%A Manal Ghanem
%J International Journal of Combinatorics
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/957284
%X Let ¦£(£¿[]) be the zero divisor graph for the ring of the Gaussian integers modulo . Several properties of the line graph of ¦£(£¿[]), (¦£(£¿[])) are studied. It is determined when (¦£(£¿[])) is Eulerian, Hamiltonian, or planer. The girth, the diameter, the radius, and the chromatic and clique numbers of this graph are found. In addition, the domination number of (¦£(£¿[])) is given when  is a power of a prime. On the other hand, several graph invariants for ¦£(£¿[]) are also determined.
%U http://www.hindawi.com/journals/ijct/2012/957284/