Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 29.4, Problem 4E
Program Plan Intro
To calculatethe dual of minimum-cost-flow linear program as given in lines (29.51) − (29.52) on page 862 and to explain how to interpret the given problem in terms of graphs and flows
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Write a short computer program to calculate CV for an Einstein solid and show these resultsas a graph of Cv/Nk vs. kT/epsilon. Include three scenarios: The q << N and q >> N limits and also the more general case which is applicable for "any" q
Describe how to construct an incremental network in the Ford-Fulkerson algorithm in order to find the maximal flow through a network flow model with minimal overall cost.
Show that the loop invariant, which states that it always retains a legal flow, is maintained by the network flow algorithm described in this section. Show that the flow changes don't breach any edge capacities or cause leaks at any nodes to accomplish this. Show that progress is being made by increasing overall flow as well. Use caution when using the plus and negative symbols.
Chapter 29 Solutions
Introduction to Algorithms
Ch. 29.1 - Prob. 1ECh. 29.1 - Prob. 2ECh. 29.1 - Prob. 3ECh. 29.1 - Prob. 4ECh. 29.1 - Prob. 5ECh. 29.1 - Prob. 6ECh. 29.1 - Prob. 7ECh. 29.1 - Prob. 8ECh. 29.1 - Prob. 9ECh. 29.2 - Prob. 1E
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