메뉴 건너뛰기




Volumn 11, Issue 2, 1998, Pages 196-204

The Lovász theta function and a semidefinite programming relaxation of vertex cover

Author keywords

Approximation algorithms; Independent sets; Semidefinite programming; Vertex cover

Indexed keywords


EID: 0011190325     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480195287541     Document Type: Article
Times cited : (50)

References (15)
  • 3
    • 0001320722 scopus 로고
    • Drei Sätze über die n-dimensionale euklidische Sphäre
    • K. BORSUK, Drei Sätze über die n-dimensionale euklidische Sphäre, Fundamenta Math., 20 (1933), pp. 177-190.
    • (1933) Fundamenta Math. , vol.20 , pp. 177-190
    • Borsuk, K.1
  • 4
    • 0006670770 scopus 로고
    • Randomized graph products, chromatic numbers, and the Lovász θ-function
    • ACM, New York
    • U. FEIGE, Randomized graph products, chromatic numbers, and the Lovász θ-function, in Proc. 27th Annual ACM Symposium on Theory of Computing, ACM, New York, 1995, pp. 635-640.
    • (1995) Proc. 27th Annual ACM Symposium on Theory of Computing , pp. 635-640
    • Feige, U.1
  • 6
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • M. GOEMANS AND D. WILLIAMSON, Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming, J. Assoc. Comput. Mach., 42 (1995), pp. 1115-1145. (Preliminary version in Proc. 26th Annual ACM Symposium on Theory of Computing, ACM, New York, 1994, pp. 422-431.)
    • (1995) J. Assoc. Comput. Mach. , vol.42 , pp. 1115-1145
    • Goemans, M.1    Williamson, D.2
  • 7
    • 84893574327 scopus 로고
    • Preliminary version ACM, New York
    • M. GOEMANS AND D. WILLIAMSON, Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming, J. Assoc. Comput. Mach., 42 (1995), pp. 1115-1145. (Preliminary version in Proc. 26th Annual ACM Symposium on Theory of Computing, ACM, New York, 1994, pp. 422-431.)
    • (1994) Proc. 26th Annual ACM Symposium on Theory of Computing , pp. 422-431
  • 8
    • 0000253416 scopus 로고
    • Approximation algorithms for set covering and vertex cover problems
    • D. HOCHBAUM, Approximation algorithms for set covering and vertex cover problems, SIAM J. Comput., 11 (1982), pp. 555-556.
    • (1982) SIAM J. Comput. , vol.11 , pp. 555-556
    • Hochbaum, D.1
  • 9
    • 84967774552 scopus 로고
    • A counterexample to Borsuk's conjecture
    • J. KAHN AND G. KALAI, A counterexample to Borsuk's conjecture, Bull. Amer. Math. Soc., 29 (1993), pp. 60-62.
    • (1993) Bull. Amer. Math. Soc. , vol.29 , pp. 60-62
    • Kahn, J.1    Kalai, G.2
  • 12
    • 0018292109 scopus 로고
    • On the Shannon capacity of a graph
    • L. LOVÁSZ, On the Shannon capacity of a graph, IEEE Trans. Inform. Theory, 25 (1979), pp. 1-7.
    • (1979) IEEE Trans. Inform. Theory , vol.25 , pp. 1-7
    • Lovász, L.1
  • 13
    • 11744379524 scopus 로고
    • Self-dual polytopes and the chromatic number of distance graphs on the sphere
    • L. LOVÁSZ, Self-dual polytopes and the chromatic number of distance graphs on the sphere, Acta Sci. Math., 45 (1983), pp. 317-323.
    • (1983) Acta Sci. Math. , vol.45 , pp. 317-323
    • Lovász, L.1
  • 14
    • 0022045936 scopus 로고
    • Ramsey numbers and an approximation algorithm for the vertex cover problem
    • B. MONIEN AND E. SPECKENMEYER, Ramsey numbers and an approximation algorithm for the vertex cover problem, Acta Inform., 22 (1985), pp. 115-123.
    • (1985) Acta Inform. , vol.22 , pp. 115-123
    • Monien, B.1    Speckenmeyer, E.2
  • 15
    • 0018492534 scopus 로고
    • A comparison of the Delsarte and Lovász bounds
    • A. SCHRIJVER, A comparison of the Delsarte and Lovász bounds, IEEE Trans. Inform. Theory, 25 (1979), pp. 425-429.
    • (1979) IEEE Trans. Inform. Theory , vol.25 , pp. 425-429
    • Schrijver, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.