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Order the steps to determine whether the given graph is bipartite. (7 Step 1 The

ID: 3198764 • Letter: O

Question

Order the steps to determine whether the given graph is bipartite. (7 Step 1 There would be an edge joining two vertices in the same part and hence this graph is not a bipartite. There would be an edge joining two vertices in the same part and hence this graph is a bipartite. Step 2 Consider the vertices b, c, and f Step 3 The selected vertices do not form a triangle. Step 4 The selected vertices form a triangle. By the pigeonhole principle, at least two of them must be in the same part of any proposed bipartition.

Explanation / Answer

Step 1- Consider the vertices b, c, f.

Step 2- The selected vertices form a triangle.

Step 3- By the pigeonhole principle, at least two of them must be in the same part of any proposed bipartition.

Step 4- There would be an edge joining two vertices in the same part and hence this graph is a bipartite.

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