graphcoloring
Graph coloring is a fundamental concept in graph theory, a branch of mathematics that studies the properties and relationships of graphs. A graph is a collection of vertices (or nodes) connected by edges (or lines). In graph coloring, each vertex is assigned a color such that no two adjacent vertices share the same color. The goal is to use the minimum number of colors necessary to achieve this.
The problem of graph coloring has numerous applications in various fields, including computer science, operations research,
The Four Color Theorem, proven by Kenneth Appel and Wolfgang Haken in 1976, states that any planar
Graph coloring can be approached using various algorithms, including greedy algorithms, backtracking, and more sophisticated methods
In summary, graph coloring is a versatile and important concept in graph theory with wide-ranging applications.