Q. 50 G = (V, E) is an undirected simple graph in which each edge has a distinct weight, and e is a particular edge of G. Which of the following statements about the minimum spanning trees (MSTs) of G is/are TRUE
I. If e is the lightest edge of some cycle in G,
then every MST of G includes e
II. If e is the heaviest edge of some cycle in G,
then every MST of G excludes e
(A) I only
(B) II only
(C) both I and II
(D) neither I nor II
Answer: (B)
Explanation:
