ABSTRACT:
In this work, we associate a topology to undirected graph , we named it non-adjacency- - topology (briefly - topology) of undirected graph . A sub-basis family will generate the non-adjacency - – topology, and it is introduced on the set of vertices Ɣ. Then we investigate some properties and discuss it on certain few important types of undirected graphs. Our motivation is to give fundamental steps toward investigation of some properties of simple undirected graphs by their corresponding - topology.
2010 Mathematics Subject Classification: 05C62, 05C75, 05C99, 54A05.
Key words and phrases: undirected graphs, - topology, -topological spaces.
