메뉴 건너뛰기




Volumn , Issue , 2005, Pages 176-185

Approximating connectivity augmentation problems

Author keywords

[No Author keywords available]

Indexed keywords

AUGMENTATION PROBLEMS; CONNECTIVITY AUGMENTATION PROBLEMS; NODES; POLYLOGARITHMIC APPROXIMATION;

EID: 20744456146     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (22)

References (32)
  • 1
    • 0042955145 scopus 로고    scopus 로고
    • Augmenting hyper-graphs with edges of size two
    • J. Bang-Jensen and B. Jackson, Augmenting hyper-graphs with edges of size two, Math, Programming 84 (1999), 467-481.
    • (1999) Math, Programming , vol.84 , pp. 467-481
    • Bang-Jensen, J.1    Jackson, B.2
  • 2
    • 0041953562 scopus 로고    scopus 로고
    • Covering symmetric supermodular functions by graphs
    • A. Benczúr and A. Frank, Covering symmetric supermodular functions by graphs, Math. Program. 84 (1999), 483-503.
    • (1999) Math. Program. , vol.84 , pp. 483-503
    • Benczúr, A.1    Frank, A.2
  • 4
    • 84987013536 scopus 로고
    • The minimum augmentation of any graph to k-edge connected graph
    • G. R. Cai and R. G. Sun, The minimum augmentation of any graph to k-edge connected graph, Networks 19, 1988, 151-172.
    • (1988) Networks , vol.19 , pp. 151-172
    • Cai, G.R.1    Sun, R.G.2
  • 6
    • 0004631833 scopus 로고    scopus 로고
    • A 2-level cactus model for the system of minimum and minimum+1 edge-cuts in a graph and its incremental maintenance
    • Ye. Dinitz and Z.Nutov, A 2-level cactus model for the system of minimum and minimum+1 edge-cuts in a graph and its incremental maintenance. STOC 1995, 509-518.
    • STOC 1995 , pp. 509-518
    • Dinitz, Ye.1    Nutov, Z.2
  • 8
    • 0000558850 scopus 로고
    • Augmenting graphs to meet edge-connectivity requirements
    • A. Frank, Augmenting graphs to meet edge-connectivity requirements, SIAM J. Disc. Math Vol. 5, No. 1, (1992), 25-53.
    • (1992) SIAM J. Disc. Math , vol.5 , Issue.1 , pp. 25-53
    • Frank, A.1
  • 9
    • 0001998507 scopus 로고
    • Connectivity augmentation problems in net-work design
    • eds. J. R. Birge and K. G. Murty
    • A. Frank, Connectivity augmentation problems in net-work design, in Mathematical Programming:State of the Art (1994), eds. J. R. Birge and K. G. Murty, 34-63.
    • (1994) Mathematical Programming:State of the Art , pp. 34-63
    • Frank, A.1
  • 10
    • 20744460546 scopus 로고    scopus 로고
    • Applications of relaxed submodularity
    • Berlin Vol. III: Invited Lectures, Documenta Mathematica, Extra Volume ICM 1998, eds. G. Fischer and U. Rehmann
    • A. Frank, Applications of relaxed submodularity, in: Proc. International Congress of Mathematicians, Berlin 1998, Vol. III: Invited Lectures, Documenta Mathematica, Extra Volume ICM 1998, eds. G. Fischer and U. Rehmann, 343-354.
    • (1998) Proc. International Congress of Mathematicians , pp. 343-354
    • Frank, A.1
  • 11
    • 20744450042 scopus 로고    scopus 로고
    • Edge-connection of graphs, digraphs, and hypergraphs
    • Chapter 6, July
    • A. Frank, Edge-connection of graphs, digraphs, and hypergraphs, Chapter 6, EGRES TR No 2001-11, July 2001.
    • (2001) EGRES TR No 2001-11 , vol.2001 , Issue.11
    • Frank, A.1
  • 12
    • 38249013371 scopus 로고
    • On a theorem of mader
    • A. Frank, On a theorem of Mader, Discrete mathematics 101, (1992), 49-57.
    • (1992) Discrete Mathematics , vol.101 , pp. 49-57
    • Frank, A.1
  • 13
    • 0003017893 scopus 로고
    • Minimal edge-coverings of pairs of sets
    • A. Frank and T. Jordan, Minimal edge-coverings of pairs of sets, J. Comb. Theory B 65, 1995, 73-110.
    • (1995) J. Comb. Theory B , vol.65 , pp. 73-110
    • Frank, A.1    Jordan, T.2
  • 14
    • 3242684409 scopus 로고    scopus 로고
    • Covering and structures of crossing families
    • Connectivity Augmentation of Networks: Structures and algorithms, (ed. A. Frank), Ser. B
    • T. Fleiner and T. Jordan, Covering and structures of crossing families, in: Connectivity Augmentation of Networks: Structures and algorithms, Math. Programming (ed. A. Frank), Ser. B, Vol. 84, No. 3, 1999, 505-518.
    • (1999) Math. Programming , vol.84 , Issue.3 , pp. 505-518
    • Fleiner, T.1    Jordan, T.2
  • 15
    • 0035175858 scopus 로고    scopus 로고
    • An iterative hounding 2-approximation algorithm for the element connectivity problem
    • L. Fleischer, K. Jain, D. P. Williamson, An Iterative Hounding 2-Approximation Algorithm for the Element Connectivity Problem, FOCS 2001, 339-347.
    • FOCS 2001 , pp. 339-347
    • Fleischer, L.1    Jain, K.2    Williamson, D.P.3
  • 17
    • 84955595509 scopus 로고
    • Undirected vertex-connectivity structure and smallest four-vertex-connectivity augmentation
    • LNCS 1004
    • T. Hsu, Undirected Vertex-Connectivity Structure and Smallest Four-Vertex-Connectivity Augmentation, in Proc. 6th International Symp. on Algorithms and Computation, LNCS 1004, 274-283, 1995.
    • (1995) Proc. 6th International Symp. on Algorithms and Computation , pp. 274-283
    • Hsu, T.1
  • 18
    • 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
  • 20
    • 84867997345 scopus 로고    scopus 로고
    • A near optimal algorithm for vertex connectivity augmentation
    • ISAAC
    • B. Jackson and T. Jordan, A near optimal algorithm for vertex connectivity augmentation, LNCS 1969 (ISAAC 2000), 313-325.
    • (2000) LNCS , vol.1969 , pp. 313-325
    • Jackson, B.1    Jordan, T.2
  • 21
    • 23044525353 scopus 로고    scopus 로고
    • Independence free graphs and vertex connectivity augmentation
    • IPCO
    • B. Jackson and T. Jordan, Independence free graphs and vertex connectivity augmentation, LNCS 2081 (IPCO 2001) 264-279,
    • (2001) LNCS , vol.2081 , pp. 264-279
    • Jackson, B.1    Jordan, T.2
  • 23
    • 0025855578 scopus 로고
    • Maximum bounded 3-dimensional matching is max snp-complete
    • V. Kann, Maximum bounded 3-dimensional matching is max snp-complete, Information Processing Letters, 37:27-35, 1991.
    • (1991) Information Processing Letters , vol.37 , pp. 27-35
    • Kann, V.1
  • 25
    • 77957098028 scopus 로고
    • A reduction method for edge-connectivity in graphs
    • W. Mader, A reduction method for edge-connectivity in graphs, Ann. discrete Math 3, 1978, 145-164.
    • (1978) Ann. Discrete Math , vol.3 , pp. 145-164
    • Mader, W.1
  • 26
    • 20744452294 scopus 로고    scopus 로고
    • On the minimum local-vertex-connectivity augmentation in graphs
    • H. Nagamochi and T. Ishii, On the minimum local-vertex-connectivity augmentation in graphs, Discrete Applied Mathematics, Vol. 129, Issue 2-3, (2003), 475-486.
    • (2003) Discrete Applied Mathematics , vol.129 , Issue.2-3 , pp. 475-486
    • Nagamochi, H.1    Ishii, T.2
  • 27
    • 0034156631 scopus 로고    scopus 로고
    • Recent development of graph connectivity augmentation algorithms
    • March
    • H. Nagamochi, Recent development of graph connectivity augmentation algorithms, IEICE Trans. Inf. and Syst. volE83-D 3, March 2000.
    • (2000) IEICE Trans. Inf. and Syst. , vol.E83-D 3
    • Nagamochi, H.1
  • 29
    • 84956869850 scopus 로고    scopus 로고
    • Approximation algorithms for the label-CoverMAX and red-blue set cover problems
    • D. Peleg, Approximation algorithms for the Label-CoverMAX and Red-Blue Set Cover problems, in LNCS 1851, 2000, 220-230.
    • (2000) LNCS , vol.1851 , pp. 220-230
    • Peleg, D.1
  • 30
    • 0011645918 scopus 로고
    • Minimum block containing a given graph
    • Fasc. 6
    • J. Plesnik, Minimum block containing a given graph, Archiv der Mathematik, Vol. XXVII (1976), Fasc. 6, 668-672.
    • (1976) Archiv der Mathematik , vol.27 , pp. 668-672
    • Plesnik, J.1
  • 31
    • 3242682579 scopus 로고    scopus 로고
    • Hypergraph connectivity augmentation
    • Z. Szigeti, Hypergraph connectivity augmentation, Math. Program. 84 (1999), 519-527.
    • (1999) Math. Program. , vol.84 , pp. 519-527
    • Szigeti, Z.1
  • 32
    • 0023401904 scopus 로고
    • Edge-connectivity augmentation problems
    • T. Watanabe and A. Nakamura, Edge-connectivity augmentation problems, Computer and System Sciences Vol. 35, No. 1 (1987), 96-144.
    • (1987) Computer and System Sciences , vol.35 , Issue.1 , pp. 96-144
    • Watanabe, T.1    Nakamura, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.