Nelson asked: What is the smallest number of colors that you’d need to color any such graph, even one formed by linking an infinite number of vertices? The problem, now known as the Hadwiger-Nelson ...

This research topic explores the theoretical foundations and practical applications of graph labeling and coloring problems, both of which are central to modern combinatorics and computer science.

In this way, the map coloring problem becomes a graph coloring problem: Color the vertices so neighbors are different colors. The minimum number of colors is called the chromatic number of the graph.

Graph reconfiguration and colouring problems investigate the transition between feasible solutions of a graph colouring instance. The central challenge is to determine a series of elementary ...

Colour me different The team's research involves an aspect of graph theory called coloring. The theory of coloring deals with the problem of labelling parts of a graph to comply with certain rules ...

The phone companies are trying to solve a graph coloring problem. Unfortunately, the graph coloring problem is nearly impossible to answer in full generality. But after decades of effort ...

The problem requires determining whether ... Corresponding nodes are shown in the same color. In math terminology, “graph” is a fancy word for a network, the kind of diagram that depicts ...