Maximum Flow. c. v. 3 / 3. 4 / 6. 1 / 1. t. 4 / 7. 3 / 3. s. w. 1 / 9. 3 / 5. 1 / 1. 3 / 5. z. u. 2 / 2. Outline and Reading. Flow networks Flow ( § 8.1.1) Cut ( § 8.1.2) Maximum flow Augmenting path ( § 8.2.1) Maximum flow and minimum cut ( § 8.2.1)

ByFigure 1. Schematic of “typical” vegetated buffer system with diagram illustrating key differences between sheet and concentrated flows. A GIS-Enabled Kinematic Wave Approach for Calculating the Transition between Sheet and Concentrated Flows

ByStationary efficiency of co-evolutionary networks: an inverse voter model. Chen-Ping Zhu 12 ， Hui Kong 1 ， Li Li 3 ， Zhi-Ming Gu 1 ， Shi-Jie Xiong 4. Outline. 1. Motivations of our work 2. Inverse voter model (IVM) for co-evolutionary networks

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Flow networks. 2. 5. 1. How much flow can we push through from s to t ? (Numbers are capacities.). 4. 7. 3. 2. 5. 2. Flow networks. 5. 1. s. 4. 7. t. 3. 2. 5. Def:

Flow networks. 2. 5. 1. How much flow can we push through from s to t ? (Numbers are capacities.). 4. 7. 3. 2. 5. 2. Flow networks. 5. 1. s. 4. 7. t. 3. 2. 5. Def:

Flow Networks. Topics Flow Networks Residual networks Ford-Fulkerson’s algorithm Ford-Fulkerson's Max-flow Min-cut Algorithm. Chapter 7 Algorithm Design Kleinberg and Tardos. Flow Networks. A directed graph can be interpreted as a flow network to analyse material flows through networks.

Flow Networks. Network Flows. Types of Networks. Internet Telephone Cell Highways Rail Electrical Power Water Sewer Gas …. Maximum Flow Problem. How can we maximize the flow in a network from a source or set of sources to a destination or set of destinations?

Flow networks. 2. 5. 1. How much flow can we push through from s to t ? (Numbers are capacities.). 4. 7. 3. 2. 5. Flow networks. 2. 5. 1. How much flow can we push through from s to t ? (Numbers are capacities.). 4. 7. 3. 8.

Flow Networks. Flow Networks. Directed Graph with edge capacities Capacities represent flow of materials Examples Water that can flow through a pipe Traffic that can flow between two intersections Electricity flowing through a wire Data transmitted over network connection. Maximum Flow.

Flow Networks. zichun@comp.nus.edu.sg. Formalization. Basic Results. Min-cut. Ford-Fulkerson. Edmunds-Karp. Bipartite Matching. Flow Network. Directed Graph G = (V, E) Each edge has a capacity. Properties of Flow. Capacity Constraint Skew Symmetry Flow Conservation. Maximum Flow.

Maximum Flow Networks. Suppose G = (V, E) is a directed network. Each edge (i,j) in E has an associated ‘capacity’ u ij . Goal: Determine the maximum amount of flow between two specified vertices s and t. The capacity v of a path P is the sum of its constituent