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GATE | GATE CS Mock 2018 | Question 37
Let G = (V, E) be any connected undirected edge-weighted graph. The weights of the edges in E are positive. Consider the following statements:
- The path between a pair of vertices in a minimum spanning tree of an undirected graph is necessarily the shortest (minimum weight) path.
- Minimum Spanning Tree of G is always unique and shortest path between a pair of vertices may not be unique.
(A)
(1) only
(B)
(2) only
(C)
both (1) and (2)
(D)
neither (1) nor (2)
Answer
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