The Welsh-Powell algorithm is a greedy approach to graph vertex coloring. It sorts vertices by their degree in descending order and assigns the smallest possible color to each vertex that does not ...

This code is a project for the discipline Analysis and Project of Algorithms, in the Federal University of Paraiba, Brazil. In this project, we aim to implement a heuristic to resolve the Graph ...

Abstract: The graph coloring problem involves coloring the nodes of a graph using the minimum number of colors such that no two adjacent nodes share the same color. This NP-hard problem has various ...

In just three pages, a Russian mathematician has presented a better way to color certain types of networks than many experts thought possible. A paper posted online last month has disproved a ...

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 ...

Four years ago, the mathematician Maria Chudnovsky faced an all-too-common predicament: how to seat 120 wedding guests, some of whom did not get along, at a dozen or so conflict-free tables. Luckily, ...