Question: (5 points) Approximating Graph Diameter Define the distance between a pair of vertices x and y, DIST(x, y) to be the length of the shortest

(5 points) Approximating Graph Diameter Define the distance between a pair

of vertices x and y, DIST(x, y) to be the length of

(5 points) Approximating Graph Diameter Define the distance between a pair of vertices x and y, DIST(x, y) to be the length of the shortest path between them. The diameter of a graph is then the maximum distance between a pair of vertices D = max DIST (u, u). u,v In this problem we will give an O(m) time 2-approximation algorithm to the diameter of an undirected, unit weighetd graph with n vertices and m edges. That is, we will try to produce a pair of vertices, T, y, such that DiST(x, y) 2D (5 points) Approximating Graph Diameter Define the distance between a pair of vertices x and y, DIST(x, y) to be the length of the shortest path between them. The diameter of a graph is then the maximum distance between a pair of vertices D = max DIST (u, u). u,v In this problem we will give an O(m) time 2-approximation algorithm to the diameter of an undirected, unit weighetd graph with n vertices and m edges. That is, we will try to produce a pair of vertices, T, y, such that DiST(x, y) 2D

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