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Suppose that a network G = (N, A) contains no negative cycle. In this network, let fij denote the maximum amount by which we can decrease the length of arc (i, j) without creating any negative cycle, assuming all other arc lengths are held constant. Describe an efficient algorithm for determining fij for each arc (i, j).
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Senior OPerations Research Scientist

Interviewed at Optym

3.6★
Dec 24, 2022

Suppose that a network G = (N, A) contains no negative cycle. In this network, let fij denote the maximum amount by which we can decrease the length of arc (i, j) without creating any negative cycle, assuming all other arc lengths are held constant. Describe an efficient algorithm for determining fij for each arc (i, j).

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