10.04.2026 | Network Flow

 In the study of Network Flow, the Ford-Fulkerson algorithm relies on constructing a Residual Network $R_f$ from an original flow network $G$ and a valid flow $f$. Below is the Residual Graph ($R_f$) generated from an unknown flow network.

Which of the following pairs of Original Network $G$ (left) and Flow $f$ (right) correctly generated the Residual Graph above?

Pair I:




Pair II:



Pair III:


Pair IV:



The alternative that represents the correct statement is:

a) Only pair II is correct.
b) Only pairs I and III are correct.
c) Only pairs II and IV are correct.
d) Only pair I is correct.
e) None of the above.

Original idea by: Yuri S. Costa




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