Define an augmenting path in a flow network. Apply Ford Fulkerson's method to compute the maximum flow in a given network. S 3 3 2 A 1 4 C 1 B 1 D 2 1 T
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- Define flow network' and flow’. Show that if f, and f, are flows, then af + (1- a) f, is also a flow, where 0sas1.2. Find the maximum flow from source (node 1) to destination (node 6) from the following flow graph. Show the residual network at each step. 2 10 8. 1 10 3 5 12Given the following flow graph. Determine the maximum flow from S to T. Be sure to show all the iterations including the residual graphs. 10 8 10 10 10 4 9
- Consider the following flow graph G. Show the maximum flow graph in G with source v1 and sink v5. Also show the maximum flow value f. V2 10 25 20 Vi V3 V5 15 30 V4Using Ford-Fulkerson algorithm, determine the maximum flow from the source S to sink t in the graph provided.Algorithm for Computation of A∗ starting from A by the generalized “escalator” method (case where G(A) has no 0-absorbing circuit).
- Consider the following flow graph G. Show the maximum flow graph in G with sourcev1 and sink v5. Also show the maximum flow value f. V2 10, 25 5 V1 V3 V5 4 30 V4 20 15Consider the flow network shown in the following figure (left), where the label next to each arc is its capacity, and the initial s-t flow on right. (a) What must be checked to show that the initial f is a flow?Let f be a flow of flow network G and f' a flow of residual network Gf . Show that f +f' is a flow of G.
- How do I find the minimum capacity of an s-t cut in this flow network?27. Find the maximum flow of graph K. Find the flow of each path, then determine the maximum flow. 650 900 350 550 550 200 K3 a. The path of (s, a, c, t) has flow: The maximum flow is: b. The path of (s, b, c, 1) has flow: The maximum flow is: c. The path of (s, b, 1) has flow: The maximum flow is: d. The total maximum flow is:USE MATLAB TO SOLVE THE PROBLEM A resistor of resistance R is supplied by a battery which consists of voltage source E in series with an internal resistance r. Plot the power P as a function of the resistance R for 1 NSEE MORE QUESTIONS