Let G = (N, A) be a network with n nodes and m arcs, and integral...

Let G = (N, A) be a network with n nodes and m arcs, and integral capacities (u_e: e A). For two nodes s, t N, denote by P_s, t the set of directed paths from s to t in G. Consider the following linear program: maximize sigma_P P_s, t f P subject to simga_e P: P P_s, t f P lessthanorequalto u_e, Forall e A, f_p greaterthanorequalto 0, Forall P P_s, t What does this LP compute? Show that this LP can be solved in polynomial time, and give an upper bound (as tight as possible) on the running time needed.

Expert Solution

venereology answered 1 year ago

Let (Z, N, +, ·) be an ordered integral domain. Let {x1, x2, . . ....

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