# Chromatic Number In Coloring

**G G is the minimal number of colors for which such an assignment is possible.**

**Chromatic number in coloring**.
Graph Coloring in Graph Theory from Chromatic Number In Edge Coloring Graph Coloring in Graph Theory from Chromatic Number In Edge Coloring.
For example the following can be colored minimum 3 colors.
Vertex coloring is the starting point of the subject and other coloring problems can be.

View Vertex Coloringpdf from CS 521 at Indian Institute of Technology Guwahati. Definition 586 The chromatic number of a graph G is the minimum number of colors required in a proper coloring. In this article we.

A graph coloring for a graph with 6 vertices. Test each coloring combination for validity. The minimum number of colors required for vertex coloring of graph G is called as the chromatic number of G denoted by XG.

The chromatic number of kn is. It ensures that no two adjacent vertices of the graph are colored with the same color. Chromatic Number is the minimum number of colors required to properly color any graph.

Since the vertex w is adjacent to all of the Cn vertices we need an additional color for w. From pulp import edges 12 32 24 14 25 65 36 15 n lensetu for u v in edges v for u v in edges model LpProblemsenseLpMinimize chromatic_number LpVariablenamechromatic number catInteger variables LpVariablenamefx_i_j catBinary for i in rangen for j in rangen for i in rangen. The graph on the left is K_6text The only way to properly color the graph is to give every vertex a different color since every vertex is adjacent to every other vertex.

Model variablesu - 1color. Thus the chromatic number is 6. The independence number of G is the maximum size of an independent set.