Given flow graph G below, find the max-flow. Show the residual graphs G¡ and updated flow for each of the steps. (a) use the shortest path method to get the augmenting paths (b) use the fattest path method to get the augmenting paths (c) show the min-cut that corresponds to the max-flow for each of the above -15- 24 2 15, `10 2 -14- -10- -15- 10 2 -15 20

Given flow graph G below, find the max-flow. Show the residual graphs G¡ and updated flow for each of the steps. (a) use the shortest path method to get the augmenting paths (b) use the fattest path method to get the augmenting paths (c) show the min-cut that corresponds to the max-flow for each of the above -15- 24 2 15, `10 2 -14- -10- -15- 10 2 -15 20

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Given the flow network below, 1) Draw the residual graph for the flow shown in the figure 2) Add an augmenting path to achieve the final maxflow. 3) Draw the final residual graph reflecting the augment path from 2) You need to submit the residual graphs from 1) and 3) only.
{s,t} none of these QUESTION 8 If f is a maximum flow in a flow network G, then there is no the resigual capacity a cut an argumenting path the augmentation none of these QUESTION 9 on the residual network Gf. Given the following residue network Gf. The argumenting path p is represented by the shaded edges. the value of flow of the flow network in the next iteration is
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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.
please give detailed explanation
Please do parts a, b, c, d
Consider 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. (b) Apply the Ford-Fulkerson algorithm to N starting from the flow f. The augmenting path used in each step of the algorithm must be given. (c) Give the cut that corresponds to the maximum flow obtained in (b), which is suggested in the Max-Flow-Min-Cut theorom.
A fixed beam is subjected to a uniformly-distributed load with an intensity of f = 10 N/mm length of L = 200 mm. Now determine the support reaction forces, internal shear forces and moments, then plot its internal shear force and moment diagram. f[N/m] L 1. Define the paramters, use L and f as the variables y X
Show the final flow that the Ford-Fulkerson Algorithm finds for this network, given that it proceeds to completion from the flow rates you have given in your answer to part, and augments flow along the edges (?,?1,?3,?) and (?,?2,?5,?). Identify a cut of the network that has a cut capacity equal to the maximum flow of the network.
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4. Graph Theory and Approximation Algorithms- (a) Find the maximum flow possible from vertex s to vertex t in the given graph. Show all your steps Given an example to show why reverse flow edges should be included to get the optimal flow 12 vi V4 20 16 8 4 9. 14 V3 v2 15 (b) Given below are the distances between A, B, C, D, E, F. You have to start from A, visit all the vertices and return back to the A. Find the optimal path using the approximation algorithm discussed in class. Show all your steps. () | A BC D E F A0 4 4 3 5 5 в| 4 0 2 4 C 4 2 D 3 4 E 5 3 6 F 5 3 4 3 3 6. 4 5 4 5 4 5 5 0 in