GATE Computer Science (CS) 2017 Shift 1 Solved Paper

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Question : 36 of 65
 
Marks: +1, -0
Let G = (V, E) be any connected undirected edge-weighted graph. The weights of the edges in E are positive and distinct. Consider the following statements:
I) Minimum Spanning Tree of G is always unique.
II) Shortest path between any two vertices of G is always unique.
Which of the above statements is/are necessarily true?
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