Question: A graph is 2 - colorable if and only if all its vertices can be colored using two colors such that no two vertices connected

A graph is

2 -

colorable if and only if all its vertices can be colored using two colors such that no two vertices connected by an edge have the same color. Consider the following graph

G = (V, E) .

Is this graph

2 -

colorable? Please answer this question by some kind of tree searching algorithm

.

Note that you should explain the reason why your searching algorithm is correct. Please also analyze the time complexity of your searching algorithm

.

A graph is 2-colorable if and only if all its vertices

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