A fiber-optic cable system is to be installed along

Chapter 14, Problem 40

(choose chapter or problem)

A fiber-optic cable system is to be installed along highways connecting six cities. The cities include Boston, Cincinnati, Cleveland, Detroit, New York, and Philadelphia. The highway distances, in miles, between the cities are given in the following table.

a. Model this information with a weighted, complete graph.

b. Use Kruskal’s Algorithm to find a minimum spanning tree that would connect each city using the smallest amount of cable. Determine the total length of cable needed.  

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