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GATE | GATE IT 2006 | Question 25

Consider the undirected graph G defined as follows. The vertices of G are bit strings of length n. We have an edge between vertex u and vertex v if and only if u and v differ in exactly one bit position (in other words, v can be obtained from u by flipping a single bit). The ratio of the chromatic number of G to the diameter of G is

(A)

1/(2n-a)

(B)

1/n

(C)

2/n

(D)

3/n

Answer

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