MST(Minimum Weight Spanning Tree)

Let G be a connected Undirected graph of 100 vertices and 300 edges. The weight of a minimum spanning tree of G is 500. When the weight of each edge of G is increased by five, the weight of a minimum spanning tree becomes -----?


The answer is 995.

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1 solution

Ishan Tyagi
Feb 5, 2018
  1. Find no of edges in MST 2.MST has nāˆ’1 edges where n is no of vertices. =100āˆ’1=99 edges 3.Each 99 edges in MST increases by 5 so weight in MST increased 99āˆ—5= 495 4.Now total weight of MST =500+495=995

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