Question: Our termination argument of the generic label-correcting algorithm relies on the fact that the data are integral. Suppose that in the shortest path problem, some

Our termination argument of the generic label-correcting algorithm relies on the fact

that the data are integral. Suppose that in the shortest path problem, some arc lengths

are irrational numbers. (a) Prove that for this case too, the generic label-correcting algorithm will terminate finitely. (Hint: Use arguments based on the predecessor graph.)

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