This repository contains online supplementary materials for the work: "A Numerically Exact Branch-and-Price Algorithm with Accelerated Column Enumeration and Decision Diagrams for the Graph Coloring ...

Explore the game by attempting to color various graphs with the smallest number of colors. Try to solve all the challenges provided in the game. Pay attention to how the number of colors relates to ...

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 ...

Abstract: Coloring a graph is a known and a classical problem in graph theory. It is also a known NP problem. In a graph G, the solution of coloring a graph is about coloring all the vertices of the ...

Abstract: Graph coloring problems are widely used to study and model the different real time applications. Many real time applications such as Job scheduling, Aircraft scheduling, By-processor tasks, ...

Let G be a graph and k a natural number. A k-coloring of G is a map c that maps the vertices of G into the set {1, 2, ..., k} (whose elements are called colors) such that no two adjacent vertices are ...

Graph coloring has been employed since the 1980s to efficiently compute sparse Jacobian and Hessian matrices using either finite differences or automatic differentiation. Several coloring problems ...

Consider an urn model where at each step one of q colors is sampled according to some probability distribution and a ball of that color is placed in an urn. The distribution of assigning balls to urns ...