Computer Sciences > GATE 2021 SET-1 > Graph Theory
Let G = (V, E) be an undirected unweighted connected graph. The diameter of G is defined as:
diam(G) = maxu,v∈V {the length of shortest path between u and v}
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⌉ < diam(G2) < diam(G)
C
diam(G2) = diam(G)
D
diam(G) < diam(G2) ≤ 2 diam(G)

Correct : a

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