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Volumn 33, Issue 2, 2002, Pages 243-262

Augmenting trees to meet biconnectivity and diameter constraints

Author keywords

Approximation algorithms; Biconnectivity augmentation; Diameter; Radius; Trees

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; INTEGER PROGRAMMING; POLYNOMIAL APPROXIMATION; TREES (MATHEMATICS);

EID: 0141922687     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00453-001-0113-8     Document Type: Article
Times cited : (48)

References (21)
  • 3
    • 0003878763 scopus 로고
    • North-Holland, Amsterdam
    • C. Berge, Hypergraphs, North-Holland, Amsterdam, 1989.
    • (1989) Hypergraphs
    • Berge, C.1
  • 4
    • 85034524706 scopus 로고    scopus 로고
    • Personal communication
    • H. L. Bodlaender, Personal communication.
    • Bodlaender, H.L.1
  • 6
    • 0002430935 scopus 로고    scopus 로고
    • The algorithmic use of hypertree structure and maximum neighbourhood orderings
    • A. Brandstädt, V. Chepoi, and F. Dragan, The algorithmic use of hypertree structure and maximum neighbourhood orderings, Discrete Appl. Math. 82 (1998), 43-77.
    • (1998) Discrete Appl. Math. , vol.82 , pp. 43-77
    • Brandstädt, A.1    Chepoi, V.2    Dragan, F.3
  • 7
    • 0009560208 scopus 로고
    • Location on tree networks: P-center and g-dispersion problems
    • R. Chandrasekaran and A. Daughety, Location on tree networks: p-center and g-dispersion problems, Math. Oper. Res. 6 (1981), 50-57.
    • (1981) Math. Oper. Res. , vol.6 , pp. 50-57
    • Chandrasekaran, R.1    Daughety, A.2
  • 8
    • 38249028983 scopus 로고
    • Labeling algorithms for domination problems in sun-free chordal graphs
    • G. J. Chang, Labeling algorithms for domination problems in sun-free chordal graphs, Discrete Appl. Math. 22 (1988/1989), 21-34.
    • (1988) Discrete Appl. Math. , vol.22 , pp. 21-34
    • Chang, G.J.1
  • 10
    • 0032108328 scopus 로고    scopus 로고
    • A threshold of in n for approximating set cover
    • U. Feige, A threshold of In n for approximating set cover, J. Assoc. Comput. Mach. 45 (1998), 634-652.
    • (1998) J. Assoc. Comput. Mach. , vol.45 , pp. 634-652
    • Feige, U.1
  • 12
    • 0027685385 scopus 로고
    • On finding a minimum augmentation to biconnect a graph
    • T. S. Hsu and V. Ramachandran, On finding a minimum augmentation to biconnect a graph, SIAM J. Comput. 22 (1993), 889-891.
    • (1993) SIAM J. Comput. , vol.22 , pp. 889-891
    • Hsu, T.S.1    Ramachandran, V.2
  • 13
    • 0018683792 scopus 로고
    • An algorithmic approach to network location problems, I: The p-centers
    • O. Kariv and S. L. Hakimi, An algorithmic approach to network location problems, I: the p-centers, SIAM J. Appl. Math. 37(3) (1979), 513-538.
    • (1979) SIAM J. Appl. Math. , vol.37 , Issue.3 , pp. 513-538
    • Kariv, O.1    Hakimi, S.L.2
  • 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, 1997, pp. 236-265.
    • (1997) Approximation Algorithms for NP-Hard Problems , pp. 236-265
    • Khuller, S.1
  • 15
    • 0002990564 scopus 로고    scopus 로고
    • Fast distributed construction of small k-dominating sets and applications
    • S. Kutten and D. Peleg, Fast distributed construction of small k-dominating sets and applications, J. Algorithms 28 (1998), 40-66.
    • (1998) J. Algorithms , vol.28 , pp. 40-66
    • Kutten, S.1    Peleg, D.2
  • 16
    • 85034522473 scopus 로고    scopus 로고
    • Personal communication
    • A. Laugier, Personal communication.
    • Laugier, A.1
  • 17
    • 38249013164 scopus 로고
    • On the minimum-cardinality-bounded-diameter and the bounded-cardinality-minimum-diameter edge addition problems
    • Ch.-L. Li, S. Th. McCormick, and D. Simchi-Levi, On the minimum-cardinality-bounded-diameter and the bounded-cardinality-minimum-diameter edge addition problems, Oper. Res. Lett. 11 (1992), 303-308.
    • (1992) Oper. Res. Lett. , vol.11 , pp. 303-308
    • Li, Ch.-L.1    McCormick, S.Th.2    Simchi-Levi, D.3
  • 18
    • 0024701852 scopus 로고
    • A tradeoff between size and efficiency of routing tables
    • D. Peleg and E. Upfal, A tradeoff between size and efficiency of routing tables, J. Assoc. Comput. Mach. 36 (1989), 510-530.
    • (1989) J. Assoc. Comput. Mach. , vol.36 , pp. 510-530
    • Peleg, D.1    Upfal, E.2
  • 19
    • 0030714232 scopus 로고    scopus 로고
    • A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP
    • R. Raz and S. Safra, A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP, in Proc. 29th ACM Symp. on Theory of Computing (1997), pp. 475-484.
    • (1997) Proc. 29th ACM Symp. on Theory of Computing , pp. 475-484
    • Raz, R.1    Safra, S.2
  • 20
    • 0002838397 scopus 로고
    • Smallest augmentation to biconnect a graph
    • A. Rosenthal and A. Goldner, Smallest augmentation to biconnect a graph, SIAM J. Comput. 6 (1977), 55-66.
    • (1977) SIAM J. Comput. , vol.6 , pp. 55-66
    • Rosenthal, A.1    Goldner, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.