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Vertex Capacity Constrained Max-Flow Algorithm

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goyalsachit

This document discusses introducing vertex capacity constraints bi for each vertex vi in a network flow problem, where the total flow passing through vi cannot exceed bi. It asks to describe an algorithm to solve the vertex capacity constrained max-flow problem by reducing it to an edge capacity network flow problem.

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5. In addition to the edge capacity constraints, we introduce vertex capacities bi constraints for each vertex vi in a network-flow problem. The total amount of flow passing via vertex vi cannot exceed bi. Describe an algorithm to solve the vertex capacity constrained max-flow problem. Hint: Use reduction to edge capacity network flow problem.

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  • 1. 5. In addition to the edge capacity constraints, we introduce vertex capacities bi constraints for each vertex vi in a network-flow problem. The total amount of flow passing via vertex vi cannot exceed bi. Describe an algorithm to solve the vertex capacity constrained max-flow problem. Hint: Use reduction to edge capacity network flow problem.