The condition that the minimum Hamiltonian cycle is an optimal traveling salesman route

The condition that the minimum Hamiltonian cycle is an optimal traveling salesman route

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Article ID: iaor20031641
Country: China
Volume: 31
Issue: 6
Start Page Number: 680
End Page Number: 683
Publication Date: Nov 2001
Journal: Mathematics in Practice and Theory
Authors:
Keywords: graphs
Abstract:

In this paper, we prove that the necessary and sufficient condition of minimum Hamiltonian cycle being optimal travelling salesman route is the regular contraction, besides generalized triangle inequality.

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