Abstract: In 1994, Thomassen proved that every planar graph is 5-list-colorable. In 1995, Thomassen proved that every planar graph of girth at least five is 3-list-colorable. His proofs naturally lead ...

Abstract: In this paper we present a list based solution to the graph coloring problem which is simple & efficient. The proposed algorithm may be applied either on dense graph or sparse graph for ...

This script aims to solve the classic Graph Coloring Problem by employing a backtracking algorithm. The problem revolves around coloring the nodes of a graph in such a way that no two adjacent nodes ...

Graph colouring remains a central topic in graph theory, providing the mathematical framework for assigning colours to the elements of a graph under specific constraints. In particular, the colouring ...

This is a Prolog program that calculates the minimal vertex coloring of a given undirected graph. It reads a graph from a file, processes it to find any one coloring with size equal to the chromatic ...

The graph coloring problem attempts to assign a color to nodes connected by links under the limitation that no two connected nodes can have the same color. The problem then asks what is the minimum ...