[Solved]1 Consider Following Two Variations Maximum Flow Problem Given Flow Network Multiple Sourc Q37185397

1. Consider the following two variations of the maximum flowproblem.

(a) Given a flow network with multiple sources and multiplesinks, compute a maximum flow from the sources to the sinks (i.e.,a flow that maximizes the total amount of flow out of all thesources. Note that the flow must satisfy all the threeconstraints).

(b) Given a flow network in which the nodes as well as the edgeshave capacities (positive integers), compute a maximum flow from sto t that respects the node capacities as well (i.e., for everynode in the network, the total amount of flow out of the nodeshould be bounded above by the capacity of the node). Show, byreductions to the maximum flow problem, that the above two problemscan be solved in time O(n 3 ), where n is the number of nodes inthe network.

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Answer to 1. Consider the following two variations of the maximum flow problem. (a) Given a flow network with multiple sources and… . . .