Show that the Bellman-Ford algorithm, when run on the constraint graph for a system Ax b
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Show that the Bellman-Ford algorithm, when run on the constraint graph for a system Ax ≤ b of difference constraints, minimizes the quantity (max {xi} – min {xi}) subject to Ax ≤ b. Explain how this fact might come in handy if the algorithm is used to schedule construction jobs.
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Related Book For 
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
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