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Volumn 23, Issue 3, 1998, Pages 613-623

The travelling salesman and the PQ-tree

Author keywords

Combinatorial optimization; Dynamic programming; Euclidean travelling salesman problem; Polynomial algorithm; PQ tree; Travelling salesman problem

Indexed keywords

ALGORITHMS; CALCULATIONS; DYNAMIC PROGRAMMING; POLYNOMIALS; TREES (MATHEMATICS);

EID: 1942521652     PISSN: 0364765X     EISSN: None     Source Type: Journal    
DOI: 10.1287/moor.23.3.613     Document Type: Article
Times cited : (17)

References (12)
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    • Testing for the consecutive ones property, interval graphs and graph planarity using PQ-tree algorithms
    • Booth, K. S., G. S. Lueker (1976). Testing for the consecutive ones property, interval graphs and graph planarity using PQ-tree algorithms. J. Comput. System Sci. 13 335-379.
    • (1976) J. Comput. System Sci. , vol.13 , pp. 335-379
    • Booth, K.S.1    Lueker, G.S.2
  • 2
    • 0041907658 scopus 로고
    • Universal conditions for algebraic traveling salesman problems to be efficiently solvable
    • Burkard, R. E., J. A. A. Van der Veen (1991). Universal conditions for algebraic traveling salesman problems to be efficiently solvable. Optimization 22 787-814.
    • (1991) Optimization , vol.22 , pp. 787-814
    • Burkard, R.E.1    Van der Veen, J.A.A.2
  • 4
    • 0001907377 scopus 로고
    • Well-solved special cases
    • E. L. Lawler, J. K. Lenstra, A. H. G. Rinnooy Kan, D. B. Shmoys, eds., Wiley, Chichester
    • Gilmore, P. C., E. L. Lawler, D. B. Shmoys (1985). Well-solved special cases. E. L. Lawler, J. K. Lenstra, A. H. G. Rinnooy Kan, D. B. Shmoys, eds., The Travelling Salesman Problem. Wiley, Chichester, 87- 143.
    • (1985) The Travelling Salesman Problem , pp. 87-143
    • Gilmore, P.C.1    Lawler, E.L.2    Shmoys, D.B.3
  • 5
    • 0000460052 scopus 로고
    • A dynamic programming approach to sequencing problems
    • Held, M., R. M. Karp (1962). A dynamic programming approach to sequencing problems. J. Soc. Indust. Appl. Math. 10 196-210.
    • (1962) J. Soc. Indust. Appl. Math. , vol.10 , pp. 196-210
    • Held, M.1    Karp, R.M.2
  • 6
    • 0041632634 scopus 로고
    • Performance guarantees for heuristics
    • E. L. Lawler, J. K. Lenstra, A. H. G. Rinnooy Kan, D. B. Shmoys, eds., Wiley, Chichester
    • Johnson, D. S., C. H. Papadimitriou (1985). Performance guarantees for heuristics. E. L. Lawler, J. K. Lenstra, A. H. G. Rinnooy Kan, D. B. Shmoys, eds., The Travelling Salesman Problem. Wiley, Chichester, 145-180.
    • (1985) The Travelling Salesman Problem , pp. 145-180
    • Johnson, D.S.1    Papadimitriou, C.H.2
  • 7
    • 0009640363 scopus 로고
    • The structure of the optimal solution of certain classes of travelling salesman problems
    • Klyaus, P. S. (1976). The structure of the optimal solution of certain classes of travelling salesman problems (m Russian), Vestst Akad. Navuk Belarusi Ser. Fiz. Mat. Navuk 4 95-98.
    • (1976) Vestst Akad. Navuk Belarusi Ser. Fiz. Mat. Navuk , vol.4 , pp. 95-98
    • Klyaus, P.S.1
  • 9
    • 19044391501 scopus 로고
    • The Euclidean travelling salesman problem is NP-complete
    • Papadimitriou, C. H. (1977). The Euclidean travelling salesman problem is NP-complete. Theoret. Comput. Sci. 4237-244.
    • (1977) Theoret. Comput. Sci. , vol.4 , pp. 237-244
    • Papadimitriou, C.H.1
  • 11
    • 0037854822 scopus 로고
    • On two geometric problems related to the travelling salesman problem
    • _, U. V. Vazirani (1984). On two geometric problems related to the travelling salesman problem. J. Algorithms 5 231-246.
    • (1984) J. Algorithms , vol.5 , pp. 231-246
    • Vazirani, U.V.1
  • 12
    • 1942497010 scopus 로고
    • On some extremal walks in graphs
    • Serdyukov, A. (1978). On some extremal walks in graphs. Upravlyaemye sistemy 17 76-79.
    • (1978) Upravlyaemye Sistemy , vol.17 , pp. 76-79
    • Serdyukov, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.