Let G=(V,E) be an undirected unweighted connected graph. The diameter of G is defined as:
Let M be the adjacency matrix of G.
Define graph G2 on the same set of vertices with adjacency matrix N, where
Which one of the following statements is true?
(A) diam(G2)≤⌈ diam(G)/2⌉
(B) ⌈ diam(G)/2⌉
(C) diam(G2) = diam(G)
(D) diam(G)< diam(G2)≤2 diam(G)
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