(f) Show the network with the flow that results from augmenting the flowbased on the path (s,v3, v4, t) of the residual graph you have given inanswer to part (d).(g) Show the residual graph for the network flow given in answer to part (f).(h) What is the bottleneck edge of the path (s, V₂, V3, V₁, V4, t) in the residualgraph you have given in answer to part (g) ?(i) Show the network with the flow that results from augmenting the flowbased on the path (S, V₂, V3, V₁, V₁, t) of the residual graph you have givenin answer to part (g).(j) Show the residual graph for the network flow given in answer to part (i).(k) Show the final flow that the Ford-Fulkerson Algorithm finds for thisnetwork, given that it proceeds to completion from the flow rates you havegiven in your answer to part (i), and augments flow along the edges(s, v₁, v3, t) and (s, v₂, v5, t).(1) Identify a cut of the network that has a cut capacity equal to the maximumflow of the network. 0/160/120/80/4220/80/50/11VA0/130/14V50/20/110/10Each edge is annotated with the current flow (initially zero) and the edge'scapacity. In general, a flow of x along an edge with capacity y is shown as x/y.(a) Show the residual graph that will be created from this network with thegiven (empty) flow. In drawing a residual graph, to show a forward edgewith capacity x and a backward edge with capacity y, annotate the originaledge *; y.(b) What is the bottleneck edge of the path (S, V₁, V3, V5, t) in the residualgraph you have given in answer to part (a) ?(c) Show the network with the flow (s, V₁, V3, V5, t) that results fromaugmenting the flow based on the path of the residual graph you havegiven in answer to part (a).(d) Show the residual graph for the network flow given in answer to part (c).(e) What is the bottleneck edge of the path (s, v3, v4, t) in the residual graphyou have given in answer to part (d) ?

Since there are multiple subparts for a single question, the first three subparts are answered as…

Each edge is annotated with the current flow (initially zero) and the edge's capacity. In general, a flow of x along an edge with capacity y is shown as x/y. (a) Show the residual graph that will be created from this network with the given (empty) flow. In drawing a residual graph, to show a forward edge with capacity x and a backward edge with capacity y, annotate the original edge *; y. (b) What is the bottleneck edge of the path (s, v₁, V3, V5, t) in the residual graph you have given in answer to part (a)? (c) Show the network with the flow (S, V₁, V3, V5, t) that results from augmenting the flow based on the path of the residual graph you have given in answer to part (a).

Each edge is annotated with the current flow (initially zero) and the edge's capacity. In general, a flow of x along an edge with capacity y is shown as x/y. (a) Show the residual graph that will be created from this network with the given (empty) flow. In drawing a residual graph, to show a forward edge with capacity x and a backward edge with capacity y, annotate the original edge *; y. (b) What is the bottleneck edge of the path (s, v₁, V3, V5, t) in the residual graph you have given in answer to part (a)? (c) Show the network with the flow (S, V₁, V3, V5, t) that results from augmenting the flow based on the path of the residual graph you have given in answer to part (a).

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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