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TL;DR: There're lecture notes about a very simple reduction from "maximum flow with edge demands problem to the maximum flow problem. But I can't get the new capacities at the picture: graph

E.g., look at the diagonal: 15 - 0 = 14 (?). From my point of view there're a lot of off-by-one errors.

Alex
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1 Answers1

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Those are just typos, as you can confirm by reading the general construction on the previous page ("Intuitively, we construct $G'$ by ...") and applying it to the flow network on the left. Yes, there are multiple off-by-one errors. It happens. Pobody's nerfect.

Incidentally, you might want to read the latest version of his notes, available from http://web.engr.illinois.edu/~jeffe/teaching/algorithms/, rather than the 2009 version you're reading right now (though this particular typo is still present).

D.W.
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