(Solved) : Consider Following Network Numbers Associated Edges Edge Capacities Find Maximum Flow F Q27275791 . . .
Consider the following network (the numbers associated with theedges are the edge capacities).
a. Find the maximum flow f and a minimum cut.
b. Draw the final residual graph Gf (along with its edgecapacities). In this residual network, mark the vertices reachablefrom S and the vertices from which T is reachable.
c. An edge of a network is called a bottleneck edge ifincreasing its capacity results in an increase in the maximum flow.List all bottleneck edges in the above network.
d. Give a very simple example (containing at most four vertices)of a network which has no bottleneck edges.
e. Give an efficient algorithm to identify all bottleneck edgesin a network. (Hint: Execute a known network flow algorithm (e.g.,Ford-Fulkerson), and then examine the residual graph.)
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