메뉴 건너뛰기




Volumn , Issue , 2003, Pages 460-469

Better performance bounds for finding the smallest k-edge connected spanning subgraph of a multigraph

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; GRAPH THEORY; ITERATIVE METHODS; PERFORMANCE; POLYNOMIALS; THEOREM PROVING;

EID: 0038754138     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (7)

References (17)
  • 1
    • 0038099545 scopus 로고
    • The number of vertices of degree k in a minimally k-edge-connected graph
    • M. Cai, The number of vertices of degree k in a minimally k-edge-connected graph, J. Comb. Theory B,. 58 (1993), pp. 225-239.
    • (1993) J. Comb. Theory B , vol.58 , pp. 225-239
    • Cai, M.1
  • 2
    • 0343337501 scopus 로고    scopus 로고
    • Approximating minimum-size k-connected spanning subgraphs via matching
    • J. Cheriyan and R. Thurimella, Approximating minimum-size k-connected spanning subgraphs via matching, SIAM J. Comput., 30, 2 (2000), pp. 528-560.
    • (2000) SIAM J. Comput. , vol.30 , Issue.2 , pp. 528-560
    • Cheriyan, J.1    Thurimella, R.2
  • 3
    • 0038438584 scopus 로고    scopus 로고
    • A better approximation ratio for the minimum size k-edge-connected spanning subgraph problem
    • C. G. Fernandes, A better approximation ratio for the minimum size k-edge-connected spanning subgraph problem, J. Algorithms, 28, 1 (1998), pp. 105-124.
    • (1998) J. Algorithms , vol.28 , Issue.1 , pp. 105-124
    • Fernandes, C.G.1
  • 4
    • 38249005719 scopus 로고
    • Submodular functions in graph theory
    • A. Frank, Submodular functions in graph theory, Discrete Math., 111 (1993), pp. 231-243.
    • (1993) Discrete Math. , vol.111 , pp. 231-243
    • Frank, A.1
  • 5
    • 27144508333 scopus 로고    scopus 로고
    • An ear decomposition approach to approximating the smallest 3-edge connected spanning subgroup of a multigraph
    • H. N. Gabow, An ear decomposition approach to approximating the smallest 3-edge connected spanning subgroup of a multigraph, Proc. 13th Annual ACM-SIAM Symp. on Disc. Algorithms, (2002), pp. 84-93; complete version available at http://www.cs.colorado.edu/~hal.
    • (2002) Proc. 13th Annual ACM-SIAM Symp. on Disc. Algorithms , pp. 84-93
    • Gabow, H.N.1
  • 6
    • 4243986508 scopus 로고    scopus 로고
    • Better performance bounds for finding the smallest k-edge connected spanning subgraph of a multigraph
    • ____, Better performance bounds for finding the smallest k-edge connected spanning subgraph of a multigraph, complete version available at http://www.cs.colorado.edu/~hal.
    • Gabow, H.N.1
  • 7
    • 4243806582 scopus 로고    scopus 로고
    • On the difficulty of k-connected spanning subgraph problems
    • unpublished notes
    • ____, On the difficulty of k-connected spanning subgraph problems, unpublished notes.
    • Gabow, H.N.1
  • 8
    • 0032157143 scopus 로고    scopus 로고
    • Beyond the flow decomposition barrier
    • A. V. Goldberg and S. Rao, Beyond the flow decomposition barrier, J. ACM 45, 5 (1998), pp. 783-798.
    • (1998) J. ACM , vol.45 , Issue.5 , pp. 783-798
    • Goldberg, A.V.1    Rao, S.2
  • 9
    • 0038099544 scopus 로고    scopus 로고
    • A 5/4-approximation algorithm for minimum 2-edge-connectivity
    • these proceedings
    • R. Jothi, B. Raghavachari, and S. Varadarajan, A 5/4-approximation algorithm for minimum 2-edge-connectivity, these proceedings.
    • Jothi, R.1    Raghavachari, B.2    Varadarajan, S.3
  • 10
    • 0032677628 scopus 로고    scopus 로고
    • Random sampling in cut, flow, and network design problems
    • D. R. Karger, Random sampling in cut, flow, and network design problems, Math. of OR 24, 2 (1999), pp. 383-413.
    • (1999) Math. of OR , vol.24 , Issue.2 , pp. 383-413
    • Karger, D.R.1
  • 11
    • 0002631049 scopus 로고    scopus 로고
    • Approximation algorithms for finding highly connected subgraphs
    • D. S. Hochbaum, Ed., PWS Publishing, Boston, MA
    • S. Khuller, Approximation algorithms for finding highly connected subgraphs, in Approximation Algorithms for NP-hard Problems, D. S. Hochbaum, Ed., PWS Publishing, Boston, MA, pp. 236-265, 1997.
    • (1997) Approximation Algorithms for NP-Hard Problems , pp. 236-265
    • Khuller, S.1
  • 12
    • 0030367201 scopus 로고    scopus 로고
    • Improved approximation algorithms for uniform connectivity problems
    • S. Khuller and B. Raghavachari, Improved approximation algorithms for uniform connectivity problems. J. Algorithms 21, 2 (1996), pp. 434-450.
    • (1996) J. Algorithms , vol.21 , Issue.2 , pp. 434-450
    • Khuller, S.1    Raghavachari, B.2
  • 13
    • 84976736302 scopus 로고
    • Biconnectivity approximations and graph carvings
    • S. Khuller and U. Vishkin, Biconnectivity approximations and graph carvings, J. ACM 41, 2 (1994), pp. 214-235.
    • (1994) J. ACM , vol.41 , Issue.2 , pp. 214-235
    • Khuller, S.1    Vishkin, U.2
  • 14
    • 0000517038 scopus 로고
    • A faster deterministic maximum flow algorithm
    • V. King, S. Rao, and R. Tarjan, A faster deterministic maximum flow algorithm, J. Algorithms 17, 3 (1994), pp. 447-474.
    • (1994) J. Algorithms , vol.17 , Issue.3 , pp. 447-474
    • King, V.1    Rao, S.2    Tarjan, R.3
  • 15
    • 0002659735 scopus 로고
    • Computing edge-connectivity in multigraphs and capacitated graphs
    • H. Nagamochi and T. Ibaraki, Computing edge-connectivity in multigraphs and capacitated graphs, SIAM J. on Discrete Math., 5, 1 (1992), pp. 54-66.
    • (1992) SIAM J. on Discrete Math. , vol.5 , Issue.1 , pp. 54-66
    • Nagamochi, H.1    Ibaraki, T.2
  • 16
    • 0001790593 scopus 로고
    • Depth-first search and linear graph algorithms
    • R. E. Tarjan, Depth-first search and linear graph algorithms, SIAM J. Comput., 1, 2 (1972), pp. 146-160.
    • (1972) SIAM J. Comput. , vol.1 , Issue.2 , pp. 146-160
    • Tarjan, R.E.1
  • 17
    • 0018533367 scopus 로고
    • Applications of path compression on balanced trees
    • ____, Applications of path compression on balanced trees, J. ACM, 26, 4 (1979), pp. 690-715.
    • (1979) J. ACM , vol.26 , Issue.4 , pp. 690-715
    • Tarjan, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.