메뉴 건너뛰기




Volumn 37, Issue 2, 2003, Pages 75-92

Approximating node connectivity problems via set covers

Author keywords

Approximation algorithms; k Vertex connected spanning subgraph; Metric costs

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; GRAPH THEORY; POLYNOMIALS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 0942290222     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00453-003-1027-4     Document Type: Article
Times cited : (71)

References (22)
  • 1
    • 0023287446 scopus 로고
    • A polynomial time algorithm for b-matchings: An alternative approach
    • R. P. Anstee, A polynomial time algorithm for b-matchings: an alternative approach, Information Processing Letters 24 (1987), 153-157.
    • (1987) Information Processing Letters , vol.24 , pp. 153-157
    • Anstee, R.P.1
  • 2
    • 0001977155 scopus 로고    scopus 로고
    • A 2-approximation algorithm for finding an optimum 3-vertex connected spanning subgraph
    • V. Auletta, Y. Dinitz, Z. Nutov, and D. Parente, A 2-approximation algorithm for finding an optimum 3-vertex connected spanning subgraph, Journal of Algorithms 32 (1999), 21-30.
    • (1999) Journal of Algorithms , vol.32 , pp. 21-30
    • Auletta, V.1    Dinitz, Y.2    Nutov, Z.3    Parente, D.4
  • 3
    • 0005269528 scopus 로고    scopus 로고
    • On rooted node-connectivity problems
    • (specal issue on APPROX '98)
    • J. Cheriyan, T. Jordán, and Z. Nutov, On rooted node-connectivity problems, Algorithmica 30 (specal issue on APPROX '98), (2000), 353-375.
    • (2001) Algorithmica , vol.30 , pp. 353-375
    • Cheriyan, J.1    Jordán, T.2    Nutov, Z.3
  • 4
    • 0006670912 scopus 로고    scopus 로고
    • An approximation algorithm for the minimum cost k-vertex connected subgraph
    • Manuscript, July
    • J. Cheriyan, S. Vempala, and A. Vetta, An approximation algorithm for the minimum cost k-vertex connected subgraph, Manuscript, July 2001.
    • (2001)
    • Cheriyan, J.1    Vempala, S.2    Vetta, A.3
  • 5
    • 24244464376 scopus 로고    scopus 로고
    • Network design via iterative rounding of setpair relaxations
    • Manuscript, October
    • J. Cheriyan, S. Vempala, and A. Vetta, Network design via iterative rounding of setpair relaxations, Manuscript, October 2001.
    • (2001)
    • Cheriyan, J.1    Vempala, S.2    Vetta, A.3
  • 7
    • 0002512902 scopus 로고    scopus 로고
    • A 3-approximation algorithm for finding optimum 4,5-vertex-connected spanning subgraphs
    • Y. Dinitz and Z. Nutov, A 3-approximation algorithm for finding optimum 4,5-vertex-connected spanning subgraphs, Journal of Algorithms 32 (1999), 31-40.
    • (1999) Journal of Algorithms , vol.32 , pp. 31-40
    • Dinitz, Y.1    Nutov, Z.2
  • 8
    • 0001998507 scopus 로고
    • Connectivity augmentation problems in network design
    • J. R. Birge and K. G. Murty, eds., The University of Michigan Press, Ann Arbor, MI
    • A. Frank, Connectivity augmentation problems in network design, in Mathematical Programming, State of the Art 1994, J. R. Birge and K. G. Murty, eds., The University of Michigan Press, Ann Arbor, MI, 1994, pp. 34-63.
    • (1994) Mathematical Programming, State of the Art 1994 , pp. 34-63
    • Frank, A.1
  • 10
    • 0037910902 scopus 로고
    • On the relationship between the biconnectivity augmentation and traveling salesman problems
    • G. N. Frederickson and J. Jájá, On the relationship between the biconnectivity augmentation and traveling salesman problems, Theoretical Computer Science 19(2) (1982), 189-201.
    • (1982) Theoretical Computer Science , vol.19 , Issue.2 , pp. 189-201
    • Frederickson, G.N.1    Jájá, J.2
  • 12
    • 0005363324 scopus 로고    scopus 로고
    • A factor 2 approximation algorithm for the generalized Steiner network problem
    • K. Jain, A factor 2 approximation algorithm for the generalized Steiner network problem, Combinatorica 21(1) (2001), 39-60.
    • (2001) Combinatorica , vol.21 , Issue.1 , pp. 39-60
    • Jain, K.1
  • 14
    • 0002631049 scopus 로고    scopus 로고
    • Approximation algorithms for finding highly connected subgraphs
    • D. S. Hochbaum, ed., PWS, Boston, MA
    • S. Khuller, Approximation algorithms for finding highly connected subgraphs, in Approximation Algorithms for NP-Hard Problems, D. S. Hochbaum, ed., PWS, Boston, MA, 1996, pp. 236-265.
    • (1996) Approximation Algorithms for NP-Hard Problems , pp. 236-265
    • Khuller, S.1
  • 15
    • 0030367201 scopus 로고    scopus 로고
    • Improved approximation algorithms for uniform connectivity problems
    • S. Khuller and B. Raghavachari, Improved approximation algorithms for uniform connectivity problems, Journal of Algorithms 21 (1996), 434-450.
    • (1996) Journal of Algorithms , vol.21 , pp. 434-450
    • Khuller, S.1    Raghavachari, B.2
  • 16
    • 24244458169 scopus 로고    scopus 로고
    • Improved approximation algorithm for k-node connected subgraphs via critical graphs
    • Manuscript, February
    • G. Kortsarz and Z. Nutov, Improved approximation algorithm for k-node connected subgraphs via critical graphs, Manuscript, February 2003.
    • (2003)
    • Kortsarz, G.1    Nutov, Z.2
  • 17
    • 0000576654 scopus 로고
    • Ecken vom Grad n in minimalen n-fach zusammenhängenden Graphen
    • W. Mader, Ecken vom Grad n in minimalen n-fach zusammenhängenden Graphen, Archive der Mathematik 23 (1972), 219-224.
    • (1972) Archive der Mathematik , vol.23 , pp. 219-224
    • Mader, W.1
  • 19
    • 0343038307 scopus 로고
    • Minimal n-fach in minimalen n-fach zusammenhängenden Digraphen
    • W. Mader, Minimal n-fach in minimalen n-fach zusammenhängenden Digraphen, Journal of Combinatorial Theory, Series B, 38 (1985), 102-117.
    • (1985) Journal of Combinatorial Theory, Series B , vol.38 , pp. 102-117
    • Mader, W.1
  • 20
    • 0027554501 scopus 로고
    • A faster strongly polynomial minimum cost flow algorithm
    • J. B. Orlin, A faster strongly polynomial minimum cost flow algorithm, Operations Research 41 (1993), 338-350.
    • (1993) Operations Research , vol.41 , pp. 338-350
    • Orlin, J.B.1
  • 21
    • 0347669560 scopus 로고    scopus 로고
    • An approximation algorithm for minimum-cost vertex-connectivity problems
    • R. Ravi and D. P. Williamson, An approximation algorithm for minimum-cost vertex-connectivity problems, Algorithmica 18 (1997), 21-43.
    • (1997) Algorithmica , vol.18 , pp. 21-43
    • Ravi, R.1    Williamson, D.P.2
  • 22
    • 0006697719 scopus 로고    scopus 로고
    • Erratum: An approximation algorithm for minimum-cost vertex-connectivity problems
    • Manuscript, July
    • R. Ravi and D. P. Williamson, Erratum: an approximation algorithm for minimum-cost vertex-connectivity problems, Manuscript, July 2001.
    • (2001)
    • Ravi, R.1    Williamson, D.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.