A Characterization of Box-Mengerian Matroid Ports

Published Online:https://doi.org/10.1287/moor.1070.0306

References

  • Bixby R. E. l-matrices and a characterization of binary matroids. Discrete Math. (1974) 8:139–145CrossrefGoogle Scholar
  • Chen X., Ding G., Zang W. The box-TDI system associated with 2-edge connected spanning subgraphs. Discrete Appl. Math. (Forthcoming) Google Scholar
  • Cook W. On box totally dual integral polyhedra. Math. Programming (1986) 34:48–61CrossrefGoogle Scholar
  • Cornuéjols G.Combinatorial Optimization: Packing and Covering (2001) (SIAM, Philadelphia) CrossrefGoogle Scholar
  • Ding G., Zang W. Packing circuits in matroids. Math. Programming Ser. A (To appear) Google Scholar
  • Edmonds J., Fulkerson D. R. Bottleneck extrema. J. Combin. Theory (1970) 8:299–306CrossrefGoogle Scholar
  • Edmonds J., Giles R. A min-max relation for submodular functions on graphs. Ann. Discrete Math. (1977) 1:185–204CrossrefGoogle Scholar
  • Edmonds J., Giles R., Pulleyblank W. R. Total dual integrality of linear inequality systems. Progress in Combinatorial Optimization (1984) (Academic Press, Toronto) 117–129CrossrefGoogle Scholar
  • Gerards A. M. H., Laurent M. A characterization of box (1/d)-integral binary clutters. J. Combin. Theory Ser. B (1995) 65:186–207CrossrefGoogle Scholar
  • Guenin B. A short proof of Seymour's characterization of the matroids with the max-flow min-cut property. J. Combin. Theory Ser. B (2002) 86:273–279CrossrefGoogle Scholar
  • Laurent M., Poljak S. One-third-integrality in the max-cut problem. Math. Programming (1995) 71:29–50CrossrefGoogle Scholar
  • Lehman A. Matroids and ports. Notices Amer. Math. Soc. (1965) 12:342Google Scholar
  • Oxley J.Matroid Theory (1992) (Oxford University Press, Oxford, UK) Google Scholar
  • Schrijver A.Theory of Linear and Integer Programming (1986) (John Wiley & Sons, New York) Google Scholar
  • Schrijver A.Combinatorial Optimization—Polyhedra and Efficiency (2003) (Springer-Verlag, Berlin) Google Scholar
  • Seymour P. D. The forbidden minors of binary clutters. J. London Math. Soc. (1976) 12:356–360CrossrefGoogle Scholar
  • Seymour P. D. A note on the production of matroid minors. J. Combin. Theory Ser. B (1977) 22:289–295CrossrefGoogle Scholar
  • Seymour P. D. The matroids with the max-flow min-cut property. J. Combin. Theory Ser. B (1977) 23:189–222CrossrefGoogle Scholar
  • Seymour P. D. Decomposition of regular matroids. J. Combin. Theory Ser. B (1980) 28:305–359CrossrefGoogle Scholar
  • Truemper K.Matroid Decomposition (1992) (Academic Press, Boston) Google Scholar
  • Tseng F. T., Truemper K. A decomposition of the matroids with the max-flow min-cut property. Discrete Appl. Math. (1986) 15:329–364CrossrefGoogle Scholar
  • Tutte W. T. A class of abelian groups. Canadian J. Math. (1956) 8:13–28CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.