Flow decomposition technique to list the cycles, Basic Computer Science

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QUESTION

(a) Consider the graph below, use the Flow Decomposition technique to list the cycles and paths produced.

                                               446_Flow Decomposition.png

(b) Prove that the number of paths and cycles found in the flow decomposition is at most m + n - 1.

(c) Consider the diagram below; show how we could always provide a flow of at most 10 on Node 4.

 

                                                      2046_Flow Decomposition 2.png


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