메뉴 건너뛰기




Volumn 14, Issue 2, 2001, Pages 170-180

Improving on the 1.5-approximation of a smallest 2-edge connected spanning subgraph

Author keywords

Approximation algorithms; Ear decomposition; Edge connectivity; Graphs; Joins; Metric traveling salesman problem and 4 3 conjecture; NP complete problems

Indexed keywords


EID: 0038099192     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480199362071     Document Type: Article
Times cited : (33)

References (19)
  • 1
    • 84958761252 scopus 로고    scopus 로고
    • A new bound for the 2-edge connected subgraph problem
    • Proceedings of the Sixth International Integer Programming and Combinatorial Optimization Conference, Houston, Texas, 1998, R.E. Bixby, E.A. Boyd, R.Z. Rios-Mercado, eds., Springer-Verlag, Berlin
    • R. CARR AND R. RAVI, A new bound for the 2-edge connected subgraph problem, in Proceedings of the Sixth International Integer Programming and Combinatorial Optimization Conference, Houston, Texas, 1998, Lecture Notes in Comput. Sci. 1412, R.E. Bixby, E.A. Boyd, R.Z. Rios-Mercado, eds., Springer-Verlag, Berlin, pp.112-125.
    • Lecture Notes in Comput. Sci. , vol.1412 , pp. 112-125
    • Carr, R.1    Ravi, R.2
  • 2
    • 84958740942 scopus 로고    scopus 로고
    • An improved approximation algorithm for minimum size 2-edge connected spanning subgraphs
    • Proceedings of the Sixth International Integer Programming and Combinatorial Optimization Conference, Houston, Texas, 1998, R.E. Bixby, E.A. Boyd, R.Z. Rios-Mercado, eds., Springer-Verlag, Berlin
    • J. CHERIYAN, A. SEBO, AND Z. SZIGETI, An improved approximation algorithm for minimum size 2-edge connected spanning subgraphs, in Proceedings of the Sixth International Integer Programming and Combinatorial Optimization Conference, Houston, Texas, 1998, Lecture Notes in Comput. Sci. 1412, R.E. Bixby, E.A. Boyd, R.Z. Rios-Mercado, eds., Springer-Verlag, Berlin, pp. 126-136.
    • Lecture Notes in Comput. Sci. , vol.1412 , pp. 126-136
    • Cheriyan, J.1    Sebo, A.2    Szigeti, Z.3
  • 4
    • 0343337501 scopus 로고    scopus 로고
    • J. CHERIYAN AND R. THURIMELLA, Approximating minimum-size k-connected spanning subgraphs via matching, in Proceedings of the 37th Annual IEEE Symposium on Foundations of Computer Science, IEEE, Los Alamitos, CA, 1996, pp. 292-301; SIAM J. Sci. Comput., 30 (2000), pp. 528-560.
    • (2000) SIAM J. Sci. Comput. , vol.30 , pp. 528-560
  • 6
    • 0013438007 scopus 로고
    • Conservative weightings and ear-decompositions of graphs
    • A. FRANK, Conservative weightings and ear-decompositions of graphs, Combinatorica, 13 (1993), pp. 65-81.
    • (1993) Combinatorica , vol.13 , pp. 65-81
    • Frank, A.1
  • 8
    • 0037910902 scopus 로고
    • On the relationship between the biconnectivity augmentation and traveling salesman problems
    • G. L. FREDERICKSON AND J. JA'JA', On the relationship between the biconnectivity augmentation and traveling salesman problems, Theoret. Comput. Sci., 19 (1982), pp. 189-201.
    • (1982) Theoret. Comput. Sci. , vol.19 , pp. 189-201
    • Frederickson, G.L.1    Ja'Ja', J.2
  • 10
    • 0000875467 scopus 로고
    • Survivable networks, linear programming relaxations and the parsimonious property
    • M X. GOEMANS AND D. J. BERTSIMAS, Survivable networks, linear programming relaxations and the parsimonious property, Math. Program., 60 (1993), pp. 143-166.
    • (1993) Math. Program. , vol.60 , pp. 143-166
    • Goemans, M.X.1    Bertsimas, D.J.2
  • 11
    • 2242480803 scopus 로고    scopus 로고
    • M. Math essay, Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada
    • T. HUH, On 2-edge connected spanning subgraphs, M. Math essay, Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada, 1998.
    • (1998) On 2-edge Connected Spanning Subgraphs
    • Huh, T.1
  • 12
    • 84976736302 scopus 로고
    • Biconnectivity approximations and graph carvings
    • S. KHULLER AND U. VISHKIN, Biconnectivity approximations and graph carvings, J. ACM, 41 (1994), pp. 214-235. A preliminary version appears in Proceeding of the 24th Annual ACM Symposium on Theory of Computing, ACM, New York, 1992, pp. 759-770.
    • (1994) J. ACM , vol.41 , pp. 214-235
    • Khuller, S.1    Vishkin, U.2
  • 13
    • 84976736302 scopus 로고
    • ACM, New York
    • S. KHULLER AND U. VISHKIN, Biconnectivity approximations and graph carvings, J. ACM, 41 (1994), pp. 214-235. A preliminary version appears in Proceeding of the 24th Annual ACM Symposium on Theory of Computing, ACM, New York, 1992, pp. 759-770.
    • (1992) Proceeding of the 24th Annual ACM Symposium on Theory of Computing , pp. 759-770
  • 14
    • 0000645955 scopus 로고
    • A note on factor-critical graphs
    • L. LOVÁSZ, A note on factor-critical graphs, Studia Sci. Math. Hungar., 7 (1972), pp. 279-280.
    • (1972) Studia Sci. Math. Hungar. , vol.7 , pp. 279-280
    • Lovász, L.1
  • 16
    • 0025387187 scopus 로고
    • Minimum-weight two-connected spanning networks
    • C. L. MONMA, B. S. MUNSON, AND W. R. PULLEYBLANK, Minimum-weight two-connected spanning networks, Math. Program., 46 (1990), pp. 153-171.
    • (1990) Math. Program. , vol.46 , pp. 153-171
    • Monma, C.L.1    Munson, B.S.2    Pulleyblank, W.R.3
  • 18
    • 84917966758 scopus 로고
    • Nonseparable and planar graphs
    • H. WHITNEY, Nonseparable and planar graphs, Trans. Amer. Math. Soc., 34 (1932), pp. 339-362.
    • (1932) Trans. Amer. Math. Soc. , vol.34 , pp. 339-362
    • Whitney, H.1
  • 19
    • 0012612227 scopus 로고
    • Heuristic analysis, linear programming and branch and bound
    • L. A. WOLSEY, Heuristic analysis, linear programming and branch and bound, Math. Program. Stud., 13 (1980), pp. 121-134.
    • (1980) Math. Program. Stud. , vol.13 , pp. 121-134
    • Wolsey, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.