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Graph theory coloring number. Solution if the vertex are colored in an alternating fashion the cycle graph requires 2 colors. If g is not a null graph then χ g 2. Graph coloring in graph theory graph coloring is a process of assigning colors to the vertices such that no two adjacent vertices get the same color. χ g 1 if and only if g is a null graph.

Chromatic number of a graph is the minimum number of colors required to properly color the graph. It is impossible to color the graph with 2 colors so the graph has chromatic number 3. The minimum number of colors required for vertex coloring of graph g is called as the chromatic number of g denoted by x g. A graph coloring for a graph with 6 vertices.

In its simplest form it is a way of coloring the vertices of a graph such that no two adjacent vertices are of the same color. But if it is even then first and last vertices will be of different color and the chromatic number will be 2. If is odd then the last vertex would have the same color as the first vertex so the chromatic number will be 3. It is an assignment of labels traditionally called colors to elements of a graph subject to certain constraints.

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