Q. The chromatic number of the following graph is
Ans: 3
Sol:
Chromatic number of given graph is 3.
Note that graph is Planar so Chromatic number should be less than or equal to 4 and can not be less than 3 because of odd length cycle. In other words if a graph is planar and has odd length cycle then Chromatic number can be either 3 or 4 only.
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