Introduction to Algorithms
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 26, Problem 5P

(a)

Program Plan Intro

To argue that a minimum cut of graph G has capacity at most C|E| .

(b)

Program Plan Intro

To explains the finding of augmenting path having capacity of at least K in O(E) time.

(c)

Program Plan Intro

To argue the statement that MAX-FLOW-BY-SCALING returns a maximum flow.

(d)

Program Plan Intro

To explain the capacity of a minimum cut of the residual network Gf is at most 2K|E| each time when line 4 is executed.

(e)

Program Plan Intro

To argue the statement that the inner while loop of line 5-6 executes O(E) times for each value of K .

(f)

Program Plan Intro

To explain the MAX-FLOW-BY-SCALING can be implemented so that it runs in O(E2lgC) time.

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