Graph Theory and Cyber Security

One of the most important fields in discrete mathematics is graph theory. Graph theory is discrete structures, consisting of vertices and edges that connect these vertices. Problems in almost every conceivable discipline can be solved using graph models. The field graph theory started its journey from the problem of Konigsberg Bridges in 1735. This paper is a guide for the applied mathematician who would like to know more about network security, cryptography and cyber security based of graph theory. The paper gives a brief overview of the subject and the applications of graph theory in computer security, and provides pointers to key research and recent survey papers in the area.