Does ford fulkerson only use whole numbers? I tried to understand this but without success

Thank you

  • $\begingroup$ There are many network flow algorithms. You may want to clarify whether algorithms other than Ford-Fulkerson algorithm are covered. $\endgroup$ – John L. Jan 1 '19 at 21:56

Since all steps of the algorithm merely involve addition, you can compute the least common multiple $m$ of the denominators of all weights involved, and creating $G'$ from $G$ by multiplying all weights by $m$.

Then all weights are integers and you can run Ford-Fulkerson. You can divide the results from it by $m$ again to get back your rationals.


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