Decide whether you think the following state is true or false. If it is true, give a short explanation. If it is false, give a counter example. Let G be an arbitrary flow network, with a source s, a sink t, and a positive integer capacity ce on every edge. If ƒ is a maximum s –t flow in G, then f saturates every edge out of s with flow (e.g., for all edges e out of s, we have f(e) = c.).

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section17.4: Classification Of States In A Markov Chain
Problem 3P
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Decide Whether you think the following statement is true or false?

3. Decide whether you think the following state is true or false. If it is true,
give a short explanation. If it is false, give a counter example.
Let G be an arbitrary flow network, with a source s, a sink t, and a positive
integer capacity ce on every edge. If f is a maximum s -t flow in G, then
f saturates every edge out of s with flow (e.g., for all edges e out of s, we
have f(e) = ce).
Transcribed Image Text:3. Decide whether you think the following state is true or false. If it is true, give a short explanation. If it is false, give a counter example. Let G be an arbitrary flow network, with a source s, a sink t, and a positive integer capacity ce on every edge. If f is a maximum s -t flow in G, then f saturates every edge out of s with flow (e.g., for all edges e out of s, we have f(e) = ce).
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