Prove that there exists a maximum flow f in G, such that the set of edges carrying positive flow is acyclic. In other words, f has the property that for every directed cycle in G made up of edges e1, e2, . . . , ek, at least one of the values f (e1), f (e2), . . . , f (ek) is equal to zero.

Q: True or false: For any flow network G and any maximum flow on G, there is always an edge e such that…

A: your question is about True and false. let's see the correct answer for this

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A: Answer is given below.

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A: the answer is an given below :

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A: These question answer is as follows,

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Q: 2. Give a condition that is sufficient but not necessary for an undirected graph not to have an…

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A:

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Q: Use graph theory: Let G be a directly acyclic graph with at least two vertices. Suppose we add a…

A: Dear Student, We can use graph theory to prove that a directly acyclic graph G with at least two…

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A: solution for given fn is-

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A: We need to answer:

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A: Please refer to the following step for the complete solution to the problem above.

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Q: Give a condition that is sufficient, but not necessary, for an undirected graph to not have an…

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