Post on 28-Sep-2020
Chapter 13Network Flows: Lec 16
13.1 Flows and Cuts in Networks13.2 Solving the Maximum-Flow Problem
1 c 2010 by Jonathan L. Gross
2 Chapter 13 Network Flows: Lec 16
13.1 FLOWS AND CUTS IN NETWORKS
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Section 13.1 Flows and Cuts in Networks 3
Figure 13.1.1
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4 Chapter 13 Network Flows: Lec 16
Feasible Flows
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Section 13.1 Flows and Cuts in Networks 5
Fig 13.1.2
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6 Chapter 13 Network Flows: Lec 16
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Section 13.1 Flows and Cuts in Networks 7
Cuts in - Networks
Fig 13.1.3
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8 Chapter 13 Network Flows: Lec 16
Fig 13.1.4
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Section 13.1 Flows and Cuts in Networks 9
Fig 13.1.5
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10 Chapter 13 Network Flows: Lec 16
Relationship Between Flows and Cuts
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Section 13.1 Flows and Cuts in Networks 11
Fig 13.1.6
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12 Chapter 13 Network Flows: Lec 16
c 2010 by Jonathan L. Gross
Section 13.1 Flows and Cuts in Networks 13
Figure 13.1.7
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14 Chapter 13 Network Flows: Lec 16
c 2010 by Jonathan L. Gross
Section 13.1 Flows and Cuts in Networks 15
Max-Flow Problem and Min-Cut Problem
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16 Chapter 13 Network Flows: Lec 16
c 2010 by Jonathan L. Gross
Section 13.1 Flows and Cuts in Networks 17
Fig 13.1.8
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18 Chapter 13 Network Flows: Lec 16
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Section 13.2 Solving for Maximum-Flow 19
13.2 SOLVING FOR MAXIMUM-FLOW
Using Directed Paths to Augment Flow
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20 Chapter 13 Network Flows: Lec 16
Figure 13.2.1
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Section 13.2 Solving for Maximum-Flow 21
Figure 13.2.2
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22 Chapter 13 Network Flows: Lec 16
-Augmenting Paths
Fig 13.2.3
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Section 13.2 Solving for Maximum-Flow 23
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24 Chapter 13 Network Flows: Lec 16
Figure 13.2.4
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Section 13.2 Solving for Maximum-Flow 25
Figure 13.2.5
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26 Chapter 13 Network Flows: Lec 16
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Section 13.2 Solving for Maximum-Flow 27
Max-Flow Min-Cut Theorem
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28 Chapter 13 Network Flows: Lec 16
Algo 13.2.1:
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Section 13.2 Solving for Maximum-Flow 29
Finding an -Augmenting Path
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30 Chapter 13 Network Flows: Lec 16
Figure 13.2.7
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Section 13.2 Solving for Maximum-Flow 31
Algo 13.2.2:
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32 Chapter 13 Network Flows: Lec 16
Algo 13.2.3:
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Section 13.2 Solving for Maximum-Flow 33
Figure 13.2.8
Figure 13.2.9
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34 Chapter 13 Network Flows: Lec 16
Figure 13.2.10
Figure 13.2.11
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Section 13.5 Supplementary Exercises 35
Figure 13.2.12
13.5 SUPPLEMENTARY EXERCISES
c 2010 by Jonathan L. Gross