On the zero divisor graphs of pmpm-lattices

In this paper, we study the graph theoretic properties of the zero divisor graph Γ(L)Γ(L) of a pmpm-lattice LL. We have characterized the diameter and the eccentricity of Γ(L)Γ(L) when LL is a semiprimitive pmpm-lattice. Further, an algebraic and a topological characterization is given for the graph Γ(L)Γ(L) to be triangulated or hyper-triangulated.