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 ...

The study of graph colouring has long been a central topic in discrete mathematics, with a prominent focus on optimising the assignment of labels or colours to vertices such that adjacent vertices are ...

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 ...

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 ...

A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a long-sought general coloring proof. Four years ago, the mathematician Maria Chudnovsky faced an all-too ...