Question: Let { G = ( V , E ) , s , t in V , c ( e ) for e in E }

Let

{

= (

,

),

,

t in V

,

(

)

for e in E

}

be a network and let f be a valid flow of maximum size. Consider a new network which is identical to the given one except that the capacities of all edges increase by one. This is

,

the new capacities are cnew

(

) =

(

) + 1 .

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