'Maximum flow' presentation slideshows

Network Flow & Linear Programming

Thinking about Algorithms Abstractly. Optimization Problems Network Flow Def n Simple Example Application: Matching Flow Strategy Hill Climbing Augmenting Flow Primal-Dual Hill Climbing Min Cut Max Flow = Min Cut Running Time Linear Programming. Network Flow & Linear Programming.

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Maximum flow: The preflow/push method of Goldberg and Tarjan (87)

Maximum flow: The preflow/push method of Goldberg and Tarjan (87). Definitions. G=(V,E) is a directed graph capacity u( v,w ) for every v,w ?V: If ( v,w ) ? E then u( v,w ) = 0 Two distinguished vertices s and t. s. 3. 4. 1. a. b. 3. 3. 2. c. d. 4. 3. t. Definitions (cont).

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Lecture 16 Maximum Matching

Lecture 16 Maximum Matching. Incremental Method. Transform from a feasible solution to another feasible solution to increase (or decrease) the value of objective function. Matching in Bipartite Graph. Maximum Matching. 1. 1. Note: Every edge has capacity 1.

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The Ford-Fulkerson Algorithm

The Ford-Fulkerson Algorithm. aka The Labeling Algorithm. Ford-Fulkerson Algorithm. begin x := 0; label node t; while t is labeled do begin unlabel all nodes; pred(j) := 0 for all j in N; label s; LIST := {s}; while LIST is not empty and t is not labeled do

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EE384y: Packet Switch Architectures Matchings, implementation and heuristics

EE384y: Packet Switch Architectures Matchings, implementation and heuristics. Nick McKeown Professor of Electrical Engineering and Computer Science, Stanford University nickm@stanford.edu www.stanford.edu/~nickm. Outline. Finding a maximum match. Maximum network flow problems

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EE384y: Packet Switch Architectures Matchings, implementation and heuristics

EE384y: Packet Switch Architectures Matchings, implementation and heuristics. Nick McKeown Professor of Electrical Engineering and Computer Science, Stanford University nickm@stanford.edu www.stanford.edu/~nickm. Outline. Finding a maximum match. Maximum network flow problems

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Class Plan

Class Plan. 1-1 ? Graph ????? 1-2 ? Graph Search ?????? + some graph properties 1-3 ? Network Flow ???????????? 1-4 ? Algorithms ? Complexity ????????????. 2-1 ? Minimum Spanning Tree ???? ( + data structures and sorting ????????? 2-2 ? Matroid ??????.

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Maximum Flows

Maximum Flows. CONTENTS Introduction to Maximum Flows (Section 6.1) Introduction to Minimum Cuts (Section 6.1) Applications of Maximum Flows (Section 6.2) Flows and Cuts (Section 6.3) Generic Augmenting Path Algorithm (Section 6.4) Max-Flow Min-Cut Theorem (Section 6.5)

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Maximum Flow

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16 - Glaciers as Landforms

16 - Glaciers as Landforms. Unconfined Ice Sheet. 2% of all water 88% of FW Covers Antarctica and Greenland avg 2.5 km thick Max 4 km thick During Pleistocene 20% of water on land. Accumulation and Ablation. Geomorphology of Alpine Glaciers. Valley Glaciers.

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Contextual Classification

Contextual Classification. by Melanie Ganz Lecture 6, Medical Image Analysis 2008. Predicted labels. Overlap. Labels. Data. Motivation. Motivation. The KNN pixel classifier we use in the CVD project does not use contextual information.

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An Approach To Improving The Physical And Cyber Security Of A Bulk Power System With FACTS

FACTS. An Approach To Improving The Physical And Cyber Security Of A Bulk Power System With FACTS. Natural Faults. Mariesa Crow & Bruce McMillin School of Materials, Energy & Earth Resources Department of Computer Science University of Missouri-Rolla Stan Atcitty

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ENGM 792 Network Flow Programming

ENGM 792 Network Flow Programming. Maximum Flow Solutions. Maximum Flow Models. (Flow, Capacity ). (4,4). 2. 4. (6,8). (4,10). (2,2). (0,3). (0,8). 6. 1. (5,7). (3,6). (3,3). 5. 3. Maximum Flow Models. (Flow, Capacity ) [External Flow]. Maximal Flow

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Certifying algorithms

Certifying algorithms. Algorithms and Networks. Certifying algorithms. What is it? Examples: Euler tour Bipartite graphs Flow Planarity. Certifying algorithms. Type of algorithm design, introduced by Mehlhorn and others No formal definition here. Correctness of programs. Program:

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New Jersey American Water Springfield Water Treatment Plant Planning and Design

New Jersey American Water Springfield Water Treatment Plant Planning and Design. 1994 Water Quality Analysis. Weighted composite water quality based upon water quality analysis and various flow scenarios:. Flow of 3.0 MGD used in the above simulation. Treatment Process.

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Lecture 8 Measures and Metrics

Lecture 8 Measures and Metrics. Cocitation and Bibliographic coupling. Cocitation of two vertices i and j is the number of vertices that have outgoing edges to both Bibliographic coupling is the number of vertices to which both point. Independent paths.

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DDC Datalogger Remote Telemetry/Monitoring and Web Interface

DDC Datalogger Remote Telemetry/Monitoring and Web Interface. Typical Pumping Station (Pump Hours Run and Starts). Pump 1 Run Time (Hours) 20.12 Pump 2 Run Time (Hours) 20.18

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Network Flow Multiple Sources and Sinks

Network Flow Multiple Sources and Sinks. Sometimes a network will have multiple sources and multiple sinks. We deal with this situation by introducing a supersource and a supersink. 8. 12. A. D. T 1. 9. 10. S 1. 3. 18. 30. 16. T 2. E. B. 15. S 2. 8. 10. 3. 17. T 3. 12.

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Automatic Vehicle Control Systems

Automatic Vehicle Control Systems. Brian Williams. Description. Rail-like system that cars would ride along Communication between cars would allow for maximum flow of cars while minimizing accidents Cars would be fairly larger than sedans and SUVs. History. Patents found from 1947

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