ORDER- GRAPH OVER A GROUP

Abstract

Graph theory is widely used to solve and understand problems in various fields of mathematics; here we will present a new relationship between a graph and a group (The reference here to the group is the foundation stone structure in modern algebra and algebraic structures).

By defining a new graph over a group using a feature we can infer new features on both the graph and the algebraic structure if this feature exists.

I hope there will be a sequel to this topic that will be presented here, as well as to figure out new results.