Z-graphic topology on undirected graph

الملخص EN

In this work, we define ZG a topology on the vertex set of a graph G which preserves the connectivity of the graph, called Z-graphic topology.

We prove that two isomorphic graphs have homeomorphic and symmetric Z-graphic topologies.

We show that ZG is an Alexandroff topology and we give a necessary and sufficient condition for a topology to be Z-graphic.