Minimum-Spanning Tree 1. Bechtold Construction is in the process of installing power lines to a large housing development. Steve Bechtold wants to minimize the total length of wire used, which will minimize his costs. The housing development is shown as a network in the Figure below. Each house has been numbered, and the distances between houses are given in hundreds of feet. What do you recommend? 4 2 2 5 6 3 7 2. The director of security wants to connect security video cameras to the main control site from five potential trouble locations. Ordinarily, cable would simply be run from each location to the main control site. However, because the environment is potentially explosive, the cable must be run in a special conduit that is continually air purged. This conduit is very expensive but large enough to handle five cables (the maximum that might be needed). Use the minimal-spanning tree technique to find a minimum distance route for the conduit between the locations noted in Figure below. (Note that it makes no difference which one is the main control site.) 4 26 56 75 65 41 3 5 50 48 37 23 53 2 6