An upper bound for the shortest hamiltonian path in the symmetric euclidean case
نویسندگان
چکیده
— In this paper an algorithm for obtaining a Hamiltonian path from a shortest spanning tree ofa complete weighted graph isproposed. As a conséquence, two inequalities between the costs ofa shortest Hamiltonian path and a shortest spanning tree Tin the symmetrie EucUdean case are proposed. These inequalities involve the diameter of T or the number of terminal vertices of T and they become equalities in some particular cases.
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