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Volumn 13, Issue 3, 2009, Pages 289-296

The Graver complexity of integer programming

Author keywords

Computational complexity; Contingencytable; Graver basis; Graver complexity; Gr bner basis; Integer programming; Markov complexity; Transportation polytope; Transportation problem

Indexed keywords


EID: 70449529528     PISSN: 02180006     EISSN: 02193094     Source Type: Journal    
DOI: 10.1007/s00026-009-0029-6     Document Type: Article
Times cited : (16)

References (9)
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    • Minimal basis for connected Markov chain over 3 × 3 × k contingency tables with fixed two-dimensional marginals
    • Aoki S., Takemura A.: Minimal basis for connected Markov chain over 3 × 3 × k contingency tables with fixed two-dimensional marginals. Aust. N. Z. J. Stat. 45, 229-249 (2003).
    • (2003) Aust. N. Z. J. Stat. , vol.45 , pp. 229-249
    • Aoki, S.1    Takemura, A.2
  • 3
    • 34547960144 scopus 로고    scopus 로고
    • All linear and integer programs are slim 3-way transportation programs
    • De Loera J., Onn S.: All linear and integer programs are slim 3-way transportation programs. SIAM J. Optim. 17, 806-821 (2006).
    • (2006) SIAM J. Optim. , vol.17 , pp. 806-821
    • de Loera, J.1    Onn, S.2
  • 4
    • 29744443981 scopus 로고    scopus 로고
    • Markov bases of three-way tables are arbitrarily complicated
    • De Loera J., Onn S.: Markov bases of three-way tables are arbitrarily complicated. J. Symbolic Comput. 41, 173-181 (2006).
    • (2006) J. Symbolic Comput. , vol.41 , pp. 173-181
    • de Loera, J.1    Onn, S.2
  • 5
    • 0002839351 scopus 로고
    • Über die Auflösung linearer Gleichungen mit reellen Coefficienten
    • Gordan P.: Über die Auflösung linearer Gleichungen mit reellen Coefficienten. Math. Ann. 6, 23-28 (1873).
    • (1873) Math. Ann. , vol.6 , pp. 23-28
    • Gordan, P.1
  • 6
    • 30244522511 scopus 로고
    • On the foundations of linear and integer programming
    • Graver J.E.: On the foundations of linear and integer programming. Math. Program. 9, 207-226 (1975).
    • (1975) Math. Program. , vol.9 , pp. 207-226
    • Graver, J.E.1
  • 7
    • 63149161109 scopus 로고    scopus 로고
    • On the Gröbner complexity of matrices
    • Hemmecke R., Nairn K.A.: On the Gröbner complexity of matrices. J. Pure Appl. Algebra 213, 1558-1563 (2009).
    • (2009) J. Pure Appl. Algebra , vol.213 , pp. 1558-1563
    • Hemmecke, R.1    Nairn, K.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.