CSE 421 Introduction to Algorithms Winter 1999

3/1/99


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Table of Contents

CSE 421 Introduction to Algorithms Winter 1999

The Network Flow Problem

Net Flow: Formal Definition

Example: A Flow Function

Example: A Flow Function

Max Flow via a Greedy Alg?

A Brief History of Flow

Greed Revisited

Residual Capacity

Residual Networks & Augmenting Paths

A Residual Network

An Augmenting Path

Lemma 1

Augmenting A Flow

PPT Slide

PPT Slide

Ford-Fulkerson Method

Cuts

Lemma 2

Max Flow / Min Cut Theorem

(3) ? (1)

Corollaries & Facts

Edmonds-Karp Algorithm

BFS/Shortest Path Lemmas

Lemma 27.8 (Alternate Proof)

Augmentation vs BFS

Theorem 27.9

Corollary

Flow Integrality Theorem

Author: Walter L. Ruzzo

Email: ruzzo@cs.washington.edu

Home Page: http://www.cs.washington.edu/education/courses/421

Other information:
(c) 1998, University of Washington, CSE