Coloring of Field

Akshaya.G, Sudha Lakshmi.G

Abstract: The purpose of this article is to present the idea of coloring of a field. This idea establishes a connection between graph theory and field theory which hopefully will turn out to be mutually beneficial for these two branches of mathematics. In this introductory paper we shall mainly be interested in characterizing and discussing the field which are finitely colorable, leaving aside, for the moment, possible applications to graph theory.

Keywords: Field, coloring, finite coloring, graph theory, field theory