Skip to content
Related Articles

Related Articles

Improve Article
GATE | Sudo GATE 2020 Mock I (27 December 2019) | Question 48
  • Last Updated : 24 Dec, 2019

Consider the weights 1, 1, 2, 2, 3, 3, 4, 4 to the edges of the graph G and following statements:

I. There is a graph G in which unique minimum weight spanning tree is possible in Graph G.
II. There is a graph G in which multiple minimum weight spanning trees are possible in Graph G.

Which of the following statement(s) is/are correct ?
(A) Only I
(B) Only II
(C) Both I and II
(D) Neither I nor II


Answer: (C)

Explanation: Both statements are correct.

In the weighting on the left, the edges of weights 1 and 2 form the unique min cost spanning tree. In the weighting on the right, the two edges of weight 1 together with the ”bottom” edge of weight 2 together with either of the edges of weight 3 form a min cost spanning tree.

Option (C) is correct.

Quiz of this Question

Attention reader! Don’t stop learning now. Learn all GATE CS concepts with Free Live Classes on our youtube channel.

My Personal Notes arrow_drop_up
Recommended Articles
Page :