Computers and Technology
Computers and Technology, 21.03.2020 02:15, tm133043

Decide whether you think the following statement is true or false. If it is true, give a short explanation. If it is false, give a counterexample. Let G be an arbitrary flow network, with a source s, a sink t and a positive integer capacity ce on every edge e; and let (A, B) be a minimum s βˆ’ t cut with respect to these capacities {ce : e ∈ E}. Now suppose we add 1 to every capacity; then (A, B) is still a minimum s βˆ’ t cut with respect to these new capacities {1 + ce : e ∈ E}.

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