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Max Flow Applications

Max Flow Applications

Max Flow Applications. CS302, Spring 2012 David Kauchak. S. A. B. T. Flow graph/networks. Flow network directed, weighted graph (V, E) positive edge weights indicating the “capacity” ( generally, assume integers ) contains a single source s  V with no incoming edges

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800 views • 61 slides
Routing in Undirected Graphs with Constant Congestion

Routing in Undirected Graphs with Constant Congestion

Routing in Undirected Graphs with Constant Congestion. Julia Chuzhoy Toyota Technological Institute at Chicago. Routing Problems. Input : Graph G, source-sink pairs (s 1 ,t 1 ),…,( s k ,t k ). Goal : Route as many pairs as possible; minimize edge congestion. Routing Problems.

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741 views • 58 slides
Approximation Algorithms for Graph Routing Problems

Approximation Algorithms for Graph Routing Problems

Approximation Algorithms for Graph Routing Problems. Julia Chuzhoy Toyota Technological Institute at Chicago. Routing Problems. Input : Graph G, source-sink pairs (s 1 ,t 1 ),…,( s k ,t k ). Goal : Route as many pairs as possible; minimize edge congestion. Routing Problems.

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770 views • 56 slides
Network Flows

Network Flows

Network Flows. Menger ’ s Theorem. Theorem 7.1. (Menger [1927] ) Let G be a graph (directed or undirected), let s and t be two vertices, and k  N . Then there are k edge-disjoint s-t-paths if and only if after deleting any k – 1 edges t is still reachable from s.

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371 views • 35 slides
Advanced Algorithms

Advanced Algorithms

Advanced Algorithms. Piyush Kumar (Lecture 6: MaxFlow MinCut Applications). Welcome to COT5405. Announcements. Homework 2 Will be announced soon. Collect graded homework 1 from me after class. Today. Complete Preflow Push Bipartite matching/Hall’s theorem

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482 views • 29 slides
Locality Sensitive Distributed Computing Exercise Set 1

Locality Sensitive Distributed Computing Exercise Set 1

Locality Sensitive Distributed Computing Exercise Set 1. David Peleg Weizmann Institute. Exercises Basic complexity considerations Global function computation + pipeline Termination detection for Dijkstra’s BFS Fast DFS T gap in synchronizers a and b 3-coloring bounded-degree graphs

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442 views • 28 slides
3.3 Applications of Maximum Flow and Minimum Cut

3.3 Applications of Maximum Flow and Minimum Cut

3.3 Applications of Maximum Flow and Minimum Cut. Bipartite Matchings and Covers. A cover of an undirected graph is a set of nodes such that every edge of G has at least one end in .

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323 views • 22 slides

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