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 coloring problems tend to be simple to state, but they are often enormously hard to solve. Even the question that launched the field — Do four colors suffice to color any map? — took more than a ...

The graph below shows the total number of publications each year in Graph Coloring and Chromatic Number. References [1] On the Chromatic Number of (P5, C5, Cricket)-Free Graphs .

Consider the following three key questions the next time you see a graph, map or other data visual so you can confidently decide what to do with that new nugget of information. ... How are color, ...

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 ...

In 1961, the French mathematician Claude Berge defined the notion of “perfect graphs” that behave particularly well with respect to a basic notion in graph theory called “colouring”.