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GATE | GATE CS 2008 | Question 85

G is a graph on n vertices and 2n - 2 edges. The edges of G can be partitioned into two edge-disjoint spanning trees. Which of the following is NOT true for G?
 

(A)

There are two edge-disjoint paths between every pair to vertices
 

(B)

The minimum cut in G has at least two edges
 

(C)

For every subset of k vertices, the induced subgraph has at most 2k-2 edges
 

(D)

There are two vertex-disjoint paths between every pair of vertices
 

Answer

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