In the Travelling Salesman Problem (TSP), the objective is to find for a given n×n distance matrix C=(ci,j) a cyclic permutation τ of the set {1,2,…,n} that ...
This paper treats all possible four-point conditions of the symmetric travelling salesman problem and obtains new families of exponential neighborhoods for ...
Abstract. In the path version of the Travelling Salesman Problem (Path-TSP), a salesman is looking for the shortest Hamiltonian path through a set of n ...
<P>Let D = dij be the n × n distance matrix of a set of n cities {1, 2, ', n}, and let T be a PQ-tree with node degree bounded by d that represents a set Î ...
This paper investigates the closely related Maximum Travelling Salesman Problem (Max TSP) on symmetric Demidenko matrices. Somewhat surprisingly, we show that – ...
Travelling salesman paths on Demidenko matrices - ScienceDirect
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Dec 10, 2021 · In this paper we show that a special case of the Path-TSP with a Demidenko distance matrix is solvable in polynomial time.
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Sep 30, 2020 · In the path version of the Travelling Salesman Problem (Path-TSP), a salesman is looking for the shortest Hamiltonian path through a set of n ...
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Woeginger, The maximum travelling salesman problem on symmetric Demidenko matrices, Discrete Appl. Math. 99. (2000) 413–425. [3] M.R. Garey, D.S. Johnson ...
A 2k×2k matrix was shown to be symmetric Demidenko matrix. A theorem was also proved to establish that the MaxTSP stays NP-hard even on the class of distance ...
Feb 10, 2023 · Demidenko matrices were introduced by Demidenko in 1976, when he proved that the Travelling Salesman Problem (TSP) is polynomially solvable ...
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