The state of Illinois is applying for a grant to connect several metropolitan areas of the state

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The state of Illinois is applying for a grant to connect several metropolitan areas of the state with a light-rail transport system. The cities involved are Urbana, Chicago, Peoria, Rockford, and Springfield. The distances in miles between these cities are given in the table below.

Urbana Chicago Peoria Rockford Springfield Urbana 135 89 181 86 Chicago 135 170 85 202 Peoria 74 89 170 129 Rockford 181

(a) Use Kruskal’s algorithm to determine the minimum-cost spanning tree that would link each city using the shortest distance. 

(b) What would be the total distance of the light-rail transportation system determined in part (a)?


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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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