Question

(6) (10 pts) Get the maximum flow for the following graph show the residual and flow graph at each step. Then prove the maximum flow is correct by finding the min-cut 2 2 4 4

Answer 1

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The Restedual Guroph is. イ。 千 013 13. 千le 早loco ''graph is 2. 4.

Selecting anothen Augement ecfion p-th hene the minfapety z 2 3 Residual Graph o l 2 2 -f 416 416

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Residuol Grsaph ,12 ンエクチ+1 2 ale 4-14- G7 千16 floo graph ラ(D 5 Cn 2

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CR r@一.0 CL ( B 2- Cr 2- Selecting Augumendetjon Poth minfloto is a so Raduce the Gapacity in pdh by 치)

21 2 2. ous 2 212 13 313 sls a+2 414 214t loco graph

So the Marflow of the graph z W enifying by finding mincut 2 4- 2 Ct 6+1+千 1 t+1244 2> 1千

from the ciots the minimum c hos the value hone ts no mineot L 11 Thene ts no So the mineut is iy eio - And also oe get ou max f