Q4 Suppose A₁ = {a, b}, A₂ = {b, c, d}, A3 = {c, d}, A4 = {c, d} (a) Setup the associated bipartite graph, indicating the situation where a Є A₁ etc. (b) I had a go, and could see the following partial representation (b, A₁), (c, A2) and (d, A3). Indicate the corresponding matching on your graph. (c) Add in a source and sink, and use Ford-Fulkerson (using the flow initialised by my match- ing) to find (i) A max-flow. (ii) The corresponding maximum-sized matching. (iii) A min-cut.
Q4 Suppose A₁ = {a, b}, A₂ = {b, c, d}, A3 = {c, d}, A4 = {c, d} (a) Setup the associated bipartite graph, indicating the situation where a Є A₁ etc. (b) I had a go, and could see the following partial representation (b, A₁), (c, A2) and (d, A3). Indicate the corresponding matching on your graph. (c) Add in a source and sink, and use Ford-Fulkerson (using the flow initialised by my match- ing) to find (i) A max-flow. (ii) The corresponding maximum-sized matching. (iii) A min-cut.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q4 Suppose
A₁ = {a, b}, A₂ = {b, c, d}, A3 = {c, d}, A4 = {c, d}
(a) Setup the associated bipartite graph, indicating the situation where a Є A₁ etc.
(b) I had a go, and could see the following partial representation (b, A₁), (c, A2) and (d, A3).
Indicate the corresponding matching on your graph.
(c) Add in a source and sink, and use Ford-Fulkerson (using the flow initialised by my match-
ing) to find
(i) A max-flow.
(ii) The corresponding maximum-sized matching.
(iii) A min-cut.
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