Let Ax b be a system of m difference constraints in n unknowns. Show that the

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Let Ax ≤ b be a system of m difference constraints in n unknowns. Show that the Bellman-Ford algorithm, when run on the corresponding constraint graph, maximizes Σn1=1 xsubject to Ax ≤ b and xi ≤ 0 for all xi.

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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