# 43 Chromatic Number In Coloring

**A graph coloring for a graph with 6 vertices.**

**Chromatic number in coloring**.
Conversely if a graph can be 2-colored it is bipartite since all edges connect vertices of different colors.
So G0 n 1.
What is the chromatic number of a graph obtained from K n by removing two edges without a common vertex.

This will produce a valid coloring. χ G 1 m a x i m i n d i i 1 Hint. The smallest number of colors needed to color a graph G is called its chromatic number.

Model variablesu - 1color. Chromatic number of a graph is the minimum number of colors required to properly color the graph. Show that the chromatic number satisfies.

A graph coloring is an assignment of labels called colors to the vertices of a graph such that no two adjacent vertices share the same color. Thus the chromatic number is 6. χ G chi G χG of a graph.

Model lpSumvariablesi 1 for u v in edges. Graph Coloring is a process of assigning colors to the vertices of a graph. G G is the minimal number of colors for which such an assignment is possible.

For color in rangen. Note that in particular every broadcast coloring is a proper coloring. For example the following can be colored minimum 3 colors.