Option A: The minimum number of colors needed to color the graph is 2
Explanation:
Given that ABCDEF is a graph with 6 vertices.
We need to determine the minimum number of colors needed to color the graph with 6 vertices.
To determine the minimum number of colors for the graph, let us use the chromatic number.
The chromatic number is the minimum number of colors that is required to color the graph in such a way that no two adjacent vertices must have the same color.
According to the chromatic number, if the graph with even number of vertices, then its chromatic number is 2.
Since, ABCDEF is a graph with 6 vertices, then the minimum number of color needed to color the graph is 2.
Therefore, the minimum number of colors needed to color the graph is 2.
Hence, Option A is the correct answer.
