Abstract
A new topology is associated with the collection of edges in each digraph, we introduce a new topology for digraphs. The independent compatible edges topology is the name given to this topology. The independent compatible edges topology is constructed using a sub basis collection on the set of edges E. Then, we examine various properties and explain the independent compatible edge topology of a few key graph types. A few of the topology’s initial outcomes were examined. Our goal is to begin understanding some characteristics of directed graphs by examining the ability compatible edges topology, which is addressed in this article.