VOOZH about

URL: https://www.geeksforgeeks.org/questions/let-s-and-t-be-two-vertices-in-a-1/

⇱ GATE | CS | 2005 | Discrete maths | Graph theory | Question 82


Last Updated :
Discuss
Comments

Let s and t be two vertices in a undirected graph G + (V, E) having distinct positive edge weights. Let [X, Y] be a partition of V such that s ∈ X and t ∈ Y. Consider the edge e having the minimum weight amongst all those edges that have one vertex in X and one vertex in Y. Let the weight of an edge e denote the congestion on that edge. The congestion on a path is defined to be the maximum of the congestions on the edges of the path. We wish to find the path from s to t having minimum congestion. Which one of the following paths is always such a path of minimum congestion?

a path from s to t in the minimum weighted spanning tree

a weighted shortest path from s to t

an Euler walk from s to t

a Hamiltonian path from s to t

Share your thoughts in the comments
GeeksforGeeks