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A company named RT&T has a network of n switching stations connected by m high-speed communication links. Each customer’s phone is directly connected to one station in his or her area. The...

Consider the following greedy strategy for finding a shortest path from vertex start to vertex goal in a given connected graph.1: Initialize path to start.2: Initialize set visited to {start}.3: If...

Write a method, components(G), for undirected graph G, that returns a dictionary mapping each vertex to an integer that serves as an identifier for its connected component. That is, two vertices...

1. Show that if all the weights in a connected weighted graph G are distinct, then there is exactly one minimum spanning tree for G.2. An old MST method, called Baruvka’s algorithm, works as follows...

Repeat the previous problem for Kruskal’s algorithm.Exercise 14.25Draw a simple, connected, undirected, weighted graph with 8 vertices and 16 edges, each with unique edge weights. Illustrate the...

There are eight small islands in a lake, and the state wants to build seven bridges to connect them so that each island can be reached from any other one via one or more bridges. The cost of...