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Volumn 45, Issue 2, 1998, Pages 246-265

Approximate Graph Coloring by Semidefinite Programming

Author keywords

Algorithms; Approximation algorithms; F.2.2 Analysis of Algorithms and Problem Complexity : Nonnumerical Algorithms and Problems; G.2.1 Discrete Mathematics : Combinatorics; G.2.2 Discrete Mathematics : Graph Theory; Optimization; Theory

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; GRAPH THEORY; OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 0032028848     PISSN: 00045411     EISSN: None     Source Type: Journal    
DOI: 10.1145/274787.274791     Document Type: Article
Times cited : (336)

References (42)
  • 2
    • 0003169116 scopus 로고
    • Interior point methods in semidefinite programming with applications to combinatorial optimization
    • ALIZADEH, F. 1995. Interior point methods in semidefinite programming with applications to combinatorial optimization. SIAM J. Optim. 5, 1, 13-51.
    • (1995) SIAM J. Optim. , vol.5 , Issue.1 , pp. 13-51
    • Alizadeh, F.1
  • 3
    • 0028126125 scopus 로고
    • A spectral technique for coloring random 3-colorable graphs
    • (Montreal, Que., Canada, May 23-25). ACM, New York
    • ALON, N., AND KAHALE, N. 1994. A spectral technique for coloring random 3-colorable graphs. In Proceedings of the 26th ACM Symposium on Theory of Computing (Montreal, Que., Canada, May 23-25). ACM, New York, pp. 346-353.
    • (1994) Proceedings of the 26th ACM Symposium on Theory of Computing , pp. 346-353
    • Alon, N.1    Kahale, N.2
  • 4
    • 0001262835 scopus 로고    scopus 로고
    • Approximating the independence number via the Theta function
    • in press
    • ALON, N., AND KAHALE, N. 1998. Approximating the independence number via the Theta function. Math. Prog., in press.
    • (1998) Math. Prog.
    • Alon, N.1    Kahale, N.2
  • 7
    • 0004249508 scopus 로고
    • North-Holland, Amsterdam, The Netherlands
    • BERGE, C. 1973. Graphs and hypergraphs. North-Holland, Amsterdam, The Netherlands.
    • (1973) Graphs and Hypergraphs
    • Berge, C.1
  • 8
    • 0028425392 scopus 로고
    • New approximation algorithms for graph coloring
    • BLUM, A. 1994. New approximation algorithms for graph coloring. J. ACM 41 3 (May), 470-516.
    • (1994) J. ACM , vol.41 , Issue.3 MAY , pp. 470-516
    • Blum, A.1
  • 9
    • 0030737372 scopus 로고    scopus 로고
    • Improved approximation for graph coloring
    • BLUM, A., AND KARGER, D. 1997. Improved approximation for graph coloring. Inf. Proc. Lett. 61, 1 (Jan.), 49-53.
    • (1997) Inf. Proc. Lett. , vol.61 , Issue.1 JAN , pp. 49-53
    • Blum, A.1    Karger, D.2
  • 10
    • 0001159084 scopus 로고
    • Approximating maximum independent sets by excluding subgraphs
    • BOPPANA, R. B., AND HALLDORSSON, M. M. 1992. Approximating maximum independent sets by excluding subgraphs. BIT 32, 180-196.
    • (1992) BIT , vol.32 , pp. 180-196
    • Boppana, R.B.1    Halldorsson, M.M.2
  • 15
    • 84967800049 scopus 로고
    • Forbidden intersections
    • FRANKL, P., AND RODL, V. 1994. Forbidden intersections. Trans. AMS. 300, 259-286.
    • (1994) Trans. AMS. , vol.300 , pp. 259-286
    • Frankl, P.1    Rodl, V.2
  • 17
    • 0030100766 scopus 로고    scopus 로고
    • Interactive proofs and the hardness of approximating cliques
    • FEIGE, U., GOLDWASSER, S., LOVÁSZ, L., SAFRA, S., AND SZEGEDY, M. 1996. Interactive proofs and the hardness of approximating cliques. J. ACM 43, 2 (Mar.), 268-292.
    • (1996) J. ACM , vol.43 , Issue.2 MAR , pp. 268-292
    • Feige, U.1    Goldwasser, S.2    Lovász, L.3    Safra, S.4    Szegedy, M.5
  • 21
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • GOEMANS, M. X., AND WILLIAMSON, D. P. 1995. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. J. ACM 42, 6 (Nov.), 1115-1145.
    • (1995) J. ACM , vol.42 , Issue.6 NOV , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 23
    • 51249185617 scopus 로고
    • The ellipsoid method and its consequences in combinatorial optimization
    • GRÖTSCHEL, M., LOVÁSZ, L., AND SCHRIJVER, A. 1981. The ellipsoid method and its consequences in combinatorial optimization. combinatorica 1, 169-197.
    • (1981) Combinatorica , vol.1 , pp. 169-197
    • Grötschel, M.1    Lovász, L.2    Schrijver, A.3
  • 25
    • 0027201216 scopus 로고
    • A still better performance guarantee for approximate graph coloring
    • HALLDÓRSSON, M. M. 1993. A still better performance guarantee for approximate graph coloring. Inf. Proc. Lett. 45, 19-23.
    • (1993) Inf. Proc. Lett. , vol.45 , pp. 19-23
    • Halldórsson, M.M.1
  • 32
    • 0010715003 scopus 로고
    • The sandwich theorem
    • KNUTH, D. E. 1994. The sandwich theorem. Elect. J. Combin. 1, 1-48.
    • (1994) Elect. J. Combin. , vol.1 , pp. 1-48
    • Knuth, D.E.1
  • 33
    • 0018292109 scopus 로고
    • On the Shannon capacity of a graph
    • LOVÁSZ, L. 1979. On the Shannon capacity of a graph. IEEE Trans. Inf. Theory IT-25, 1-7.
    • (1979) IEEE Trans. Inf. Theory , vol.IT-25 , pp. 1-7
    • Lovász, L.1
  • 36
    • 84962994597 scopus 로고
    • A combinatorial theorem on systems of sets
    • MILNER, E. C. 1968. A combinatorial theorem on systems of sets. J. London Math. Soc. 43, 204-206.
    • (1968) J. London Math. Soc. , vol.43 , pp. 204-206
    • Milner, E.C.1
  • 41
    • 0020829934 scopus 로고
    • Improving the performance guarantee for approximate graph coloring
    • WIGDERSON, A. 1983. Improving the performance guarantee for approximate graph coloring. J. ACM 30, 729-735.
    • (1983) J. ACM , vol.30 , pp. 729-735
    • Wigderson, A.1
  • 42
    • 0000409644 scopus 로고
    • A technique for coloring a graph applicable to large-scale optimization problems
    • WOOD, D. C. 1969. A technique for coloring a graph applicable to large-scale optimization problems. Comput. J. 12, 317.
    • (1969) Comput. J. , vol.12 , pp. 317
    • Wood, D.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.