摘要:The purpose of this paper is to introduce a nano-topological space via graph theory which depends on a neighborhood between the vertices based on undirected graph with example. The Concept of Continuity was generalized via graph in order to obtain more of characterization which is application in the graph, we also introduced the concept of nano-dense via graph theory with an example and theorem. At last the concept of homeomorphism was introduced with some examples and theorem.