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Volumn 100, Issue 2, 2004, Pages 411-421

Approximate k-MSTs and k-Steiner trees via the primal-dual method and Lagrangean relaxation

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; GRAPH THEORY; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; POLYNOMIALS; PROBLEM SOLVING;

EID: 21144453115     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10107-003-0479-2     Document Type: Article
Times cited : (58)

References (18)
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    • Arya, S.1    Ramesh, H.2
  • 4
    • 0032057918 scopus 로고    scopus 로고
    • Improved approximation guarantees for minimum-weight k-trees and prize-collecting salesmen
    • Awerbuch, B., Azar, Y., Blum, A., Vempala, S.: Improved Approximation Guarantees for Minimum-Weight k-Trees and Prize-Collecting Salesmen. SIAM J. Com. 28(1), 254-262 (1999)
    • (1999) SIAM J. Com. , vol.28 , Issue.1 , pp. 254-262
    • Awerbuch, B.1    Azar, Y.2    Blum, A.3    Vempala, S.4
  • 5
    • 0024735782 scopus 로고
    • The steiner problem with edge lengths 1 and 2
    • Bern, M., Plassmann, P.: The Steiner Problem with Edge Lengths 1 and 2. Inf. Process. Lett. 32, 171-176 (1989)
    • (1989) Inf. Process. Lett. , vol.32 , pp. 171-176
    • Bern, M.1    Plassmann, P.2
  • 7
    • 0033077531 scopus 로고    scopus 로고
    • A constant-factor approximation algorithm for the k-MST problem
    • Blum, A., Ravi, R., Vempala, S.: A Constant-Factor Approximation Algorithm for the k-MST Problem. J. Comput. Syst. Sci. 58(1), 101-108 (1999)
    • (1999) J. Comput. Syst. Sci. , vol.58 , Issue.1 , pp. 101-108
    • Blum, A.1    Ravi, R.2    Vempala, S.3
  • 9
    • 84996516648 scopus 로고
    • Weighted k-cardinality trees: Complexity and polyhedral structure
    • Fischetti, M., Hamacher, H., Jørnsten, K., Maffioli, F.: Weighted k-Cardinality Trees: Complexity and Polyhedral Structure. Networks 24, 11-21 (1994)
    • (1994) Networks , vol.24 , pp. 11-21
    • Fischetti, M.1    Hamacher, H.2    Jørnsten, K.3    Maffioli, F.4
  • 11
    • 21144447041 scopus 로고    scopus 로고
    • Personal communication.
    • Garg, N: Personal communication. 1999
    • (1999)
    • Garg, N.1
  • 12
    • 0005363392 scopus 로고    scopus 로고
    • An improved approximation ratio for the minimum latency problem
    • Goemans, M., Kleinberg, J.: An improved approximation ratio for the minimum latency problem. Math. Program. 82, 111-124 (1998)
    • (1998) Math. Program. , vol.82 , pp. 111-124
    • Goemans, M.1    Kleinberg, J.2
  • 13
    • 0029289832 scopus 로고
    • A general approximation technique for constrained forest problems
    • Goemans, M.X., Williamson, D.P.: A General Approximation Technique for Constrained Forest Problems. SIAM J. Com. 24, 296-317 (1995)
    • (1995) SIAM J. Com. , vol.24 , pp. 296-317
    • Goemans, M.X.1    Williamson, D.P.2
  • 14
    • 0002549109 scopus 로고    scopus 로고
    • The primal-dual method for approximation algorithms and its application to network design problems
    • D.S. Hochbaum (ed.), chapter 4, PWS Publishing Company
    • Goemans, M.X. Williamson, D.P.: The Primal-Dual Method for Approximation Algorithms and Its Application to Network Design Problems. In: Approximation Algorithms for NP-Hard Problems, D.S. Hochbaum (ed.), chapter 4, PWS Publishing Company, 1997, pp. 144-191
    • (1997) Approximation Algorithms for NP-hard Problems , pp. 144-191
    • Goemans, M.X.1    Williamson, D.P.2
  • 15
    • 0000682161 scopus 로고    scopus 로고
    • Primal-dual approximation algorithms for metric facility location and k-median problems
    • Jain, K., Vazirani, V. V.: Primal-Dual Approximation Algorithms for Metric Facility Location and k-Median Problems. J. ACM 48, 274-296 (2001)
    • (2001) J. ACM , vol.48 , pp. 274-296
    • Jain, K.1    Vazirani, V.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.