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Volumn 10, Issue 2, 1997, Pages 171-179

Worst case length of nearest neighbor tours for the Euclidean traveling salesman problem

Author keywords

Euclidean traveling salesman problem; Nearest neighbor tours; Worst case analysis

Indexed keywords


EID: 3943108832     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480194278246     Document Type: Article
Times cited : (7)

References (12)
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    • (1955) Mathematika , vol.2 , pp. 141-144
    • Few, L.1
  • 5
    • 0041632634 scopus 로고
    • Performance guarantees for heuristics
    • E. L. Lawler, J. K. Lenstra, A. H. G. Rinnooy Kan, and D. B. Shmoys, eds., John Wiley, New York
    • D. S. JOHNSON AND C. H. PAPADIMITRIOU, Performance guarantees for heuristics, in The Traveling Salesman Problem: A Guided Tour in Combinatorial Optimization, E. L. Lawler, J. K. Lenstra, A. H. G. Rinnooy Kan, and D. B. Shmoys, eds., John Wiley, New York, 1985, pp. 145-180.
    • (1985) The Traveling Salesman Problem: A Guided Tour in Combinatorial Optimization , pp. 145-180
    • Johnson, D.S.1    Papadimitriou, C.H.2
  • 6
    • 3943048851 scopus 로고
    • How long can a Euclidean traveling salesman tour be?
    • H. KARLOFF, How long can a Euclidean traveling salesman tour be? SIAM J. Discrete Math., 2 (1989), pp. 91-99.
    • (1989) SIAM J. Discrete Math. , vol.2 , pp. 91-99
    • Karloff, H.1
  • 7
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • R. E. Miller and J. W. Thacher, eds., Plenum, New York
    • R. M. KARP, Reducibility among combinatorial problems, in Complexity of Computer Computations, R. E. Miller and J. W. Thacher, eds., Plenum, New York, 1972, pp. 85-103.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 9
    • 0040628977 scopus 로고
    • On the length of optimal TSP circuits in sets of bounded diameter
    • S. MORAN, On the length of optimal TSP circuits in sets of bounded diameter, J. Combin. Theory Ser. B, 37 (1984), pp. 113-141.
    • (1984) J. Combin. Theory Ser. B , vol.37 , pp. 113-141
    • Moran, S.1
  • 10
    • 19044391501 scopus 로고
    • The Euclidean traveling salesman problem is NP-complete
    • C. H. PAPADIMITRIOU, The Euclidean traveling salesman problem is NP-complete, Theoret. Computer Sci., 4 (1977), pp. 237-244.
    • (1977) Theoret. Computer Sci. , vol.4 , pp. 237-244
    • Papadimitriou, C.H.1
  • 11
    • 0003680507 scopus 로고
    • Probabilistic and worst case analyses of classical problems of combinatorial optimization in Euclidean space
    • J. M. STEELE, Probabilistic and worst case analyses of classical problems of combinatorial optimization in Euclidean space, Math. Oper. Res., 15(4) (1990), pp. 749-770.
    • (1990) Math. Oper. Res. , vol.15 , Issue.4 , pp. 749-770
    • Steele, J.M.1
  • 12
    • 2342559156 scopus 로고
    • The traveling salesman problem and minimum matching in the unit square
    • K. J. SUPOWIT, E. M. REINGOLD, AND D. A. PLAISTED, The traveling salesman problem and minimum matching in the unit square, SIAM J. Comput., 12 (1983), pp. 144-156.
    • (1983) SIAM J. Comput. , vol.12 , pp. 144-156
    • Supowit, K.J.1    Reingold, E.M.2    Plaisted, D.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.