An asymmetric analogue of van der Veen conditions and the traveling salesman problem

Discrete Applied Mathematics

Volumn 109, Issue 3, 2001, Pages 279-292

  Oda, Yoshiaki ^a  

^a KEIO UNIVERSITY   (Japan)

Author keywords

A pyramidal tour; Polynomially solvable classes; The traveling salesman problem

Indexed keywords

EID: 0007705353     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(00)00273-0     Document Type: Article

References (8)

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2. V.M. Demidenko, The traveling salesman problem with asymmetric matrices, Izv. Akad. Nauk. BSSR, Ser. Fiz-mat. Nauka, Moscow, 1 (1979) 29-35 (in Russian).
3. Enomoto H., Oda Y., Ota K. Pyramidal tours with step-backs and the asymmetric traveling salesman problem. Discrete Appl. Math. 87:1998;57-65.
4. Gilmore P.C., Lawler E.L., Shmoys D.B. Well-solved special cases. Lawler E.L., Lenstra J.K., Rinnooy Kan A.H.G., Shmoys D.B. The Traveling Salesman Problem. 1985;87-143 Wiley, New York.
5. Y. Oda, K. Ota, Algorithmic aspects of pyramidal tours with restricted jump-backs, preprint.
6. Park J.K. A special case of the. n -vertex traveling-salesman problem that can be solved in O(n) time Inform. Process. Lett. 40:1991;247-254.
7. van der Veen J.A.A., Sierksma G., van Dal R. Pyramidal tours and the traveling salesman problem. Eur. J. Oper. Res. 52:1991;971-980.
8. van der Veen J.A.A. A new class of pyramidally solvable symmetric traveling salesman problems. SIAM J. Discrete Math. 7:1994;585-592.