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Flow x feasible for capacity constraints

4. -4. Flow x feasible for capacity constraints x is feasible for b(1)=4 & b(4)=-4 . Is x min-cost-flow?. No, because: residual G(x) has nega-cycle W ( with c(W)=-1<0 ). nega-cycle W ={(3,4) (4,2) (2,3)} with c(W)=-1 and b = min { 4,3,2 } ? [i,j] ? W: x ij :=x ij +2.

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