(a) Draw the network. Only edges with positive capacities are needed. (b) Run the Ford-Fulkerson algorithm to find the maximum flow. Show the residual graph after each augmentation following the convention in the lecture notes to draw the residual graph. Draw only edges with positive capacities for the residual graphs. (c) Show the minimum cut.

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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(Maximum Flow)
Consider the network flow problem with the following edge capacities,
c(u, v) for edge (u, v): c(s, 2) = 2, c(s, 3) = 13, c(2, 5) = 12, c(2,4) = 10,
c(3, 4) = 5, c(3, 7) = 6, c(4, 5) = 1, c(4,6) = 1, c(6,5) = 2, c(6, 7) = 3,
c(5, t) = 6, c(7, t) = 2.
%3D
%3D
(a) Draw the network. Only edges with positive capacities are needed.
(b) Run the Ford-Fulkerson algorithm to find the maximum flow. Show
the residual graph after each augmentation following the convention in the
lecture notes to draw the residual graph. Draw only edges with positive
capacities for the residual graphs.
(c) Show the minimum cut.
Transcribed Image Text:(Maximum Flow) Consider the network flow problem with the following edge capacities, c(u, v) for edge (u, v): c(s, 2) = 2, c(s, 3) = 13, c(2, 5) = 12, c(2,4) = 10, c(3, 4) = 5, c(3, 7) = 6, c(4, 5) = 1, c(4,6) = 1, c(6,5) = 2, c(6, 7) = 3, c(5, t) = 6, c(7, t) = 2. %3D %3D (a) Draw the network. Only edges with positive capacities are needed. (b) Run the Ford-Fulkerson algorithm to find the maximum flow. Show the residual graph after each augmentation following the convention in the lecture notes to draw the residual graph. Draw only edges with positive capacities for the residual graphs. (c) Show the minimum cut.
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