Integral Solutions of Linear Complementarity Problems

Published Online:https://doi.org/10.1287/moor.23.1.61

References

  • Bouchet A. Unimodularity and circle graphs. Discrete Math. (1987) 66 203 208 CrossrefGoogle Scholar
  • Bouchet A. , Cunningham W. H. , Geelen J. F. Principally unimodular skew-symmetric matrices (1996) . Report CORR 96-16, Department of Combinatorics & Optimization, University of Waterloo Google Scholar
  • Camion P. Caractérisation des matrices unimodulaires. Cahiers Centre Etudes Rech. Opér. (1963) 5 181 190 Google Scholar
  • Chandrasekaran R. , Kabadi S. , Sridhar R. Integer solution for linear complementarity problem. Math. Oper. Res. . to appear Google Scholar
  • Cottle R. W. , Pang J.-S. , Stone R. E. The Linear Complementarity Problem (1992) (Academic Press, New York) Google Scholar
  • Geelen J. F. Matchings, Matroids, and Unimodular Matrices (1995) . Doctoral thesis, University of Waterloo Google Scholar
  • Geelen J. F. A generalization of Tutte's characterization of totally unimodular matrices. J. Combin. Theory Ser. B (1997) 70 101 117 CrossrefGoogle Scholar
  • Hoffman A. J. , Kruskal J. B. , Kuhn H. W. , Tucker A. W. Integral boundary points of convex polyhedra. Linear Inequalities and Related Systems (1956) (Princeton University Press, Princeton, NJ) 223 246 Google Scholar
  • Morris W. D. Oriented Matroids and the Linear Complementarity Problem. (1986) . Doctoral thesis, Cornell University Google Scholar
  • Schrijver A. Theory of Integer and Linear Programming (1986) (Wiley, London) Google Scholar
  • Seymour P. D. Decomposition of regular matroids. J. Combin. Theory Ser. B (1980) 28 305 359 CrossrefGoogle Scholar
  • Tucker A. W. , Bellman R. , Hall M. A combinatorial equivalence of matrices. Proc. of Symposia in Applied Math. (1960) 10 (American Mathematical Society, Providence, RI) 107 111 CrossrefGoogle Scholar
  • Tutte W. T. A homotopy theorem for matroids, I, II. Trans. Amer. Math. Soc. (1958) 90 527 552 CrossrefGoogle 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.