Suppose that the vertices for an instance of the traveling-salesman problem are points in the plane and

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Suppose that the vertices for an instance of the traveling-salesman problem are points in the plane and that the cost c (u, ν) is the euclidean distance between points u and ν. Show that an optimal tour never crosses itself.

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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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