(Solved) : Find Maximum Flow Attached Network S T Using Algorithm Attached Also Find Cut Whose Capaci Q37247032 . . .
Find the maximum flow of the attached network from s to t usingthe algorithm attached. Also find a cut whose capacity equals thevalue of the flow.
8 7 2 5 8 8 4 0 3 Shortest-augmenting-path algorithm Input: A network with single source 1, single sink n, and positive integer capacities uij on its edges (i,j) Output: A maximum flow x assign 2ij = 0 to every edge (i, j) in the network label the source with oo, – and add the source to the empty queue Q while not Empty(Q) do i← Front(Q): Dequeue(Q) for every edge from i to j do //forward edges if j is unlabeled 1j if ri, > 0 lj ← min(li, ri): Enqueue(Q,j) label j with lj,it for every edge from j to i do //backward edges f 1 1s unlabeled if xj, > 0 kỷ min(li, 2’yi); Enqueue(Q,j) label j with lj,- if the sink has been labeled //augment along the augmenting path found J ← n //start at the sink and move backwards using second labels while jメ1 //the source hasn’t been reached if the second label of vertex j is i+ else //the second label of vertex j is i erase all vertex labels except the ones of the source reinitialize Q with the source return x //the current flow is maximum Show transcribed image text 8 7 2 5 8 8 4 0 3
Shortest-augmenting-path algorithm Input: A network with single source 1, single sink n, and positive integer capacities uij on its edges (i,j) Output: A maximum flow x assign 2ij = 0 to every edge (i, j) in the network label the source with oo, – and add the source to the empty queue Q while not Empty(Q) do i← Front(Q): Dequeue(Q) for every edge from i to j do //forward edges if j is unlabeled 1j if ri, > 0 lj ← min(li, ri): Enqueue(Q,j) label j with lj,it for every edge from j to i do //backward edges f 1 1s unlabeled if xj, > 0 kỷ min(li, 2’yi); Enqueue(Q,j) label j with lj,- if the sink has been labeled //augment along the augmenting path found J ← n //start at the sink and move backwards using second labels while jメ1 //the source hasn’t been reached if the second label of vertex j is i+ else //the second label of vertex j is i erase all vertex labels except the ones of the source reinitialize Q with the source return x //the current flow is maximum
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Answer to Find the maximum flow of the attached network from s to t using the algorithm attached. Also find a cut whose capacity e…
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