Applications of Chromatic Numbers in Traffic Control Problems

The primary objective of this work is to illustrate the application of chromatic numbers in traffic control problems. It is simple to depict most traffic lanes as graphs with points (vertices) and lines (edges). In order to determine the minimum number of phases needed for the traffic light to allow all cars to pass through the intersection during a specific phase of the light and those in lanes where the light is green to pass through the intersection safely, this article uses three examples of traffic lanes to demonstrate how chromatic number can be applied effectively to traffic management problems.