Lecture24 - CSE 421 Algorithms Richard Anderson Lecture 24...

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CSE 421 Algorithms Richard Anderson Lecture 24 Network Flow Applications
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Today’s topics Problem Reductions Undirected Flow to Flow Bipartite Matching Disjoint Path Problem Circulations Lowerbound constraints on flows Survey design
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Problem Reduction Reduce Problem A to Problem B Convert an instance of Problem A to an instance Problem B Use a solution of Problem B to get a solution to Problem A Practical Use a program for Problem B to solve Problem A Theoretical Show that Problem B is at least as hard as Problem A
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Problem Reduction Examples Reduce the problem of finding the Maximum of a set of integers to finding the Minimum of a set of integers Find the maximum of: 8, -3, 2, 12, 1, -6 Construct an equivalent minimization problem
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Undirected Network Flow Undirected graph with edge capacities Flow may go either direction along the edges (subject to the capacity constraints) u s t v 10 10 5 20 20 Construct an equivalent flow problem
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This note was uploaded on 02/25/2012 for the course CSE 421 taught by Professor Richardanderson during the Fall '06 term at University of Washington.

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Lecture24 - CSE 421 Algorithms Richard Anderson Lecture 24...

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