If for a complete graph (or one with very few edges missing), our data is an n à n distance table (as in Prob. 13), show that the present algorithm [which is O(n 2 )] cannot easily be replaced by an algorithm of order less than O(n 2 ). Data from Prob. 13 Find a shortest spanning tree in the

Chapter 23, PROBLEM SET 23.5 #4

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If for a complete graph (or one with very few edges missing), our data is an n × n distance table (as in Prob. 13), show that the present algorithm [which is O(n2)] cannot easily be replaced by an algorithm of order less than O(n2).

Data from Prob. 13

Find a shortest spanning tree in the complete graph of all possible 15 connections between the six cities given (distances by airplane, in miles, rounded). Can you think of a practical application of the result?

Denver Los Angeles Dallas New York Washington, DC 900 1800 1300 850 650 1200 1500 2350 200 Chicago 800 700 1350 Dallas 6

Related Book For answer-question

Advanced Engineering Mathematics

10th edition

Authors: Erwin Kreyszig

ISBN: 978-0470458365