Generating topology on graphs by operations on graphs
M. Shokry · Applied Mathematical Sciences · 2015
The focus of this article is on various approaches to discerning topological properties on a connected graph by using M-contraction, D-Deletion neighborhoods. We introduce a new definition of neighborhood which is built on the choice of the distance between two vertices. A comparison between these types of results from a new formed topologies and neighborhoods is discussed. Also we discussed the containment properties and compared the number of elements in the sets of these neighborhoods including closed sets and open sets. And we have strengthened that by the vital examples.