On the zero divisor graphs of -lattices

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