In this question, we consider the operation of the Ford-Fulkerson algorithm on the network shown overleaf: 0/16 0/12 0/8 2/1 0/4 22 0/8 0/5 29 0/11 0/13 0/14 0/2 0/11 0/10 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 and a backward edge with capacity y, annotate the original edge . (b) What is the bottleneck edge of the path (s. ₁, v. vs. t) in 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
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In this question, we consider the operation of the Ford-Fulkerson algorithm on
the network shown overleaf:
0/16
0/12
0/8
0/4
0/8
0/5
19
0/11
174
0/13
0/14
0/2
0/11
0/10
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 *;ỹ.
(b) What is the bottleneck edge of the path (s.₁,vs,t) in the residual
graph you have given in answer to part (a)?
Transcribed Image Text:In this question, we consider the operation of the Ford-Fulkerson algorithm on the network shown overleaf: 0/16 0/12 0/8 0/4 0/8 0/5 19 0/11 174 0/13 0/14 0/2 0/11 0/10 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 *;ỹ. (b) What is the bottleneck edge of the path (s.₁,vs,t) in the residual graph you have given in answer to part (a)?
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