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New lower bounds for the Symmetric Travelling Salesman Problem

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Abstract

In this paper new lower bounds for the Symmetric Travelling Salesman Problem are proposed and combined in additive bounding procedures. Efficient implementations of the algorithms are given; in particular, fast procedures for computing the linear programming reduced costs of the Shortest Spanning Tree (SST) Problem and for finding all ther-SST of a given graph, are presented. Computational results on randomly generated test problems are reported.

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Carpaneto, G., Fischetti, M. & Toth, P. New lower bounds for the Symmetric Travelling Salesman Problem. Mathematical Programming 45, 233–254 (1989). https://doi.org/10.1007/BF01589105

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  • DOI: https://doi.org/10.1007/BF01589105

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