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Volumn 109, Issue 2-3, 2007, Pages 239-261

Strengthened semidefinite programming bounds for codes

Author keywords

Binary code; Regular * representation; Semidefinite programming; Stability number; Terwilliger algebra

Indexed keywords

COMPUTATIONAL COMPLEXITY; HIERARCHICAL SYSTEMS; MATHEMATICAL PROGRAMMING; MATRIX ALGEBRA; POLYNOMIALS;

EID: 33846653263     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-006-0030-3     Document Type: Conference Paper
Times cited : (42)

References (15)
  • 2
    • 33846667310 scopus 로고    scopus 로고
    • De Klerk, E., Pasechnik, D., Schrijver, A.: Reduction of symmetric semidefinite programs using the regular *-representation. Math. Programm. Ser. B. DOI 10.1007/s10107-006-0039-7 (2006)
    • De Klerk, E., Pasechnik, D., Schrijver, A.: Reduction of symmetric semidefinite programs using the regular *-representation. Math. Programm. Ser. B. DOI 10.1007/s10107-006-0039-7 (2006)
  • 3
    • 0003607354 scopus 로고
    • An Algebraic Approach to the Association Schemes of Coding Theory
    • Philips Research Reports Supplements No. 10] Philips Research Laboratories, Eindhoven
    • Delsarte, P.: An Algebraic Approach to the Association Schemes of Coding Theory. [Philips Research Reports Supplements No. 10] Philips Research Laboratories, Eindhoven (1973)
    • (1973)
    • Delsarte, P.1
  • 4
    • 2942659750 scopus 로고    scopus 로고
    • Symmetry groups, semidefinite programs, and sums of squares
    • Gaterman, K., Parrilo, P.: Symmetry groups, semidefinite programs, and sums of squares. J. Pure Appl. Algebra 192, 95-128 (2004)
    • (2004) J. Pure Appl. Algebra , vol.192 , pp. 95-128
    • Gaterman, K.1    Parrilo, P.2
  • 6
    • 0035238864 scopus 로고    scopus 로고
    • Global optimization with polynomials and the problem of moments
    • Lasserre, J.B.: Global optimization with polynomials and the problem of moments. SIAM J. Optim. 11, 796-817 (2001)
    • (2001) SIAM J. Optim , vol.11 , pp. 796-817
    • Lasserre, J.B.1
  • 7
    • 39649093787 scopus 로고    scopus 로고
    • An explicit exact SDP relaxation for nonlinear 0-1 programs
    • Aardal, K, Gerards, A.M.H, eds
    • Lasserre, J.B.: An explicit exact SDP relaxation for nonlinear 0-1 programs. In: Aardal, K., Gerards, A.M.H., (eds.) Lecture Notes in Computer Science 2081, 293-303 (2001)
    • (2001) Lecture Notes in Computer Science , vol.2081 , pp. 293-303
    • Lasserre, J.B.1
  • 8
    • 0141517272 scopus 로고    scopus 로고
    • A comparison of the Sherali-Adams, Lovász-Schrijver and Lasserre relaxations for 0-1 programming
    • Laurent, M.: A comparison of the Sherali-Adams, Lovász-Schrijver and Lasserre relaxations for 0-1 programming. Math. Oper. Res. 28(3), 470-496 (2003)
    • (2003) Math. Oper. Res , vol.28 , Issue.3 , pp. 470-496
    • Laurent, M.1
  • 9
    • 0018292109 scopus 로고
    • On the Shannon capacity of a graph
    • Lovász, L.: On the Shannon capacity of a graph. IEEE Trans. Inform. Theory 25, 1-7 (1979)
    • (1979) IEEE Trans. Inform. Theory , vol.25 , pp. 1-7
    • Lovász, L.1
  • 10
    • 0001154274 scopus 로고
    • Cones of matrices and set-functions and 0-1 optimization
    • Lovász, L., Schrijver, A.: Cones of matrices and set-functions and 0-1 optimization. SIAM J. Optim. 1, 166-190 (1991)
    • (1991) SIAM J. Optim , vol.1 , pp. 166-190
    • Lovász, L.1    Schrijver, A.2
  • 12
    • 0018492534 scopus 로고
    • A comparison of the Delsarte and Lovász bounds
    • Schrijver, A.: A comparison of the Delsarte and Lovász bounds. IEEE Trans. Inform. Theory 25, 425-429 (1979)
    • (1979) IEEE Trans. Inform. Theory , vol.25 , pp. 425-429
    • Schrijver, A.1
  • 13
    • 23844454333 scopus 로고    scopus 로고
    • New code upper bounds from the Terwilliger algebra and semidefinite programming
    • Schrijver, A.: New code upper bounds from the Terwilliger algebra and semidefinite programming. IEEE Trans. Inform. Theory 51, 2859-2866 (2005)
    • (2005) IEEE Trans. Inform. Theory , vol.51 , pp. 2859-2866
    • Schrijver, A.1
  • 15
    • 0000745775 scopus 로고
    • The subconstituent algebra of an association scheme (Part I)
    • Terwilliger, P.: The subconstituent algebra of an association scheme (Part I). J. Appl. Combin. 1, 363-388 (1992)
    • (1992) J. Appl. Combin , vol.1 , pp. 363-388
    • Terwilliger, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.