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Volumn 209, Issue 1-2, 1998, Pages 107-122

Differential approximation algorithms for some combinatorial optimization problems

Author keywords

Bin packing; coloring; NP complete problem; Polynomial time approximation algorithm; Set covering

Indexed keywords


EID: 0001226932     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(97)00099-6     Document Type: Article
Times cited : (44)

References (20)
  • 1
    • 85028925878 scopus 로고
    • Proof verification and intractability of approximation problems
    • S. Arora, C. Lund, R. Motwani, M. Sudan, M. Szegedy, Proof verification and intractability of approximation problems, in: Proc. FOCS'92, 1992, pp. 14-23.
    • (1992) Proc. FOCS'92 , pp. 14-23
    • Arora, S.1    Lund, C.2    Motwani, R.3    Sudan, M.4    Szegedy, M.5
  • 2
    • 84995344698 scopus 로고
    • Structure preserving reductions among convex optimization problems
    • G. Ausiello, A. D'Atri, M. Protasi, Structure preserving reductions among convex optimization problems, J. Comput. System Sci. 21 (1980) 136-153.
    • (1980) J. Comput. System Sci. , vol.21 , pp. 136-153
    • Ausiello, G.1    D'Atri, A.2    Protasi, M.3
  • 3
    • 0028425392 scopus 로고
    • New approximation algorithms for graph coloring
    • A. Blum, New approximation algorithms for graph coloring, J. ACM 41 (3) (1994) 470-516.
    • (1994) J. ACM , vol.41 , Issue.3 , pp. 470-516
    • Blum, A.1
  • 4
    • 84959695157 scopus 로고
    • On coloring the nodes of a network
    • R.L. Brooks, On coloring the nodes of a network, Proc. Cambridge Philos. Soc. 37 (1941) 194-197.
    • (1941) Proc. Cambridge Philos. Soc. , vol.37 , pp. 194-197
    • Brooks, R.L.1
  • 5
    • 0000301097 scopus 로고
    • A greedy - Heuristic for the set covering problem
    • V. Chvátal, A greedy - heuristic for the set covering problem, Math. Oper. Res. 4 (1979) 233-235.
    • (1979) Math. Oper. Res. , vol.4 , pp. 233-235
    • Chvátal, V.1
  • 6
    • 0028768202 scopus 로고
    • Approximation results for the minimum graph coloring problem
    • M. Demange, P. Grisoni, V.Th. Paschos, Approximation results for the minimum graph coloring problem, Inform. Process. Lett. 50 (1994) 19-23.
    • (1994) Inform. Process. Lett. , vol.50 , pp. 19-23
    • Demange, M.1    Grisoni, P.2    Paschos, V.Th.3
  • 7
    • 0030143697 scopus 로고    scopus 로고
    • On an approximation measure founded on the links between optimization and polynomial approximation theory
    • M. Demange, V.Th. Paschos, On an approximation measure founded on the links between optimization and polynomial approximation theory, Theoret. Comput. Sci. 158 (1996) 117-141.
    • (1996) Theoret. Comput. Sci. , vol.158 , pp. 117-141
    • Demange, M.1    Paschos, V.Th.2
  • 8
    • 51249181640 scopus 로고
    • Bin packing can be solved within 1 + ε in linear time
    • W. Fernandez de la Vega, G.S. Lueker, Bin packing can be solved within 1 + ε in linear time, Combinatorica 1 (4) (1981) 349-355.
    • (1981) Combinatorica , vol.1 , Issue.4 , pp. 349-355
    • De La Fernandez Vega, W.1    Lueker, G.S.2
  • 10
    • 0027201216 scopus 로고
    • A still better performance guarantee for approximate graph coloring
    • M.M. Halldórsson, A still better performance guarantee for approximate graph coloring, Inform. Process. Lett. 45 (1993) 19-23.
    • (1993) Inform. Process. Lett. , vol.45 , pp. 19-23
    • Halldórsson, M.M.1
  • 11
    • 84975868380 scopus 로고
    • Approximating discrete collections via local improvements
    • M.M. Halldórsson, Approximating discrete collections via local improvements, in: Proc. Symp. on Disc. Maths, 1995, pp. 160-169.
    • (1995) Proc. Symp. on Disc. Maths , pp. 160-169
    • Halldórsson, M.M.1
  • 12
    • 3342937231 scopus 로고
    • Approximating set cover via local improvements
    • JAIST, Tatsunokuchi, Japan
    • M.M. Halldórsson, Approximating set cover via local improvements, JAIST Resarch Report IS-RR-95-0002F, JAIST, Tatsunokuchi, Japan, 1995.
    • (1995) JAIST Resarch Report IS-RR-95-0002F
    • Halldórsson, M.M.1
  • 13
    • 0028525875 scopus 로고
    • Maximizing the number of unused colors in the vertex coloring problem
    • R. Hassin, S. Lahav, Maximizing the number of unused colors in the vertex coloring problem, Inform. Process. Lett. 52 (1994) 87-90.
    • (1994) Inform. Process. Lett. , vol.52 , pp. 87-90
    • Hassin, R.1    Lahav, S.2
  • 14
    • 0016349356 scopus 로고
    • Approximation algorithms for combinatorial problems
    • D.S. Johnson, Approximation algorithms for combinatorial problems, J. Comput. System Sci. 9 (1974) 256-278.
    • (1974) J. Comput. System Sci. , vol.9 , pp. 256-278
    • Johnson, D.S.1
  • 15
    • 0017932071 scopus 로고
    • Covering edges by cliques with regard to keyword conflicts and intersection graphs
    • L.T. Kou, L.J. Stockmeyer, C.K. Wong, Covering edges by cliques with regard to keyword conflicts and intersection graphs, Comm. ACM 21 (1978) 135-139.
    • (1978) Comm. ACM , vol.21 , pp. 135-139
    • Kou, L.T.1    Stockmeyer, L.J.2    Wong, C.K.3
  • 16
    • 0012883416 scopus 로고
    • Three short proofs in graph theory
    • L. Lovász, Three short proofs in graph theory, J. Comb. Theory B 19 (1975) 269-271.
    • (1975) J. Comb. Theory B , vol.19 , pp. 269-271
    • Lovász, L.1
  • 17
    • 0000203509 scopus 로고
    • On the ratio of optimal integral and fractional covers
    • L. Lovász, On the ratio of optimal integral and fractional covers, Discrete Math. 13 (1975) 383-390.
    • (1975) Discrete Math. , vol.13 , pp. 383-390
    • Lovász, L.1
  • 18
    • 0027205882 scopus 로고
    • On the hardness of approximating minimization problems
    • C. Lund, M. Yannakakis, On the hardness of approximating minimization problems, in: Proc. STOC'93 1993, 286-293.
    • (1993) Proc. STOC'93 , pp. 286-293
    • Lund, C.1    Yannakakis, M.2
  • 19
    • 0005258725 scopus 로고
    • On approximate solutions for combinatorial optimization problems
    • H.U. Simon, On approximate solutions for combinatorial optimization problems, SIAM J. Discrete Math. 3 (2) (1990) 294-310.
    • (1990) SIAM J. Discrete Math. , vol.3 , Issue.2 , pp. 294-310
    • Simon, H.U.1
  • 20
    • 0346024729 scopus 로고
    • Approximation algorithms for indefinite quadratic programming
    • S.A. Vavasis, Approximation algorithms for indefinite quadratic programming, Math. Programming 57 (1992) 279-311.
    • (1992) Math. Programming , vol.57 , pp. 279-311
    • Vavasis, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.