Question: Let f be a flow in a network and let be a real number. The function af : V V R is defined as (af)

Let f be a flow in a network and let be

Let f be a flow in a network and let be a real number. The function af : V V R is defined as (af) (u, v)-af(u,v). Show that if fi and f2 are flows in the network then so is afi (1 -a)f2 for all a in the range [0, 1]

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