Matrices with Identical Sets of Neighbors

References

• Bárány I. , Howe R. , Scarf H. E. The complex of maximal lattice free simplices. Math. Programming (1994) 66 273 281 Crossref, Google Scholar
• Bárány I. , Scarf H. E. , Shallcross D. The topological structure of maximal lattice free convex bodies: The general case. Math. Programming (1998) 80 1 15 Crossref, Google Scholar
• Barvinok A. Personal communication. (1995) Google Scholar
• Graver J. E. On the foundations of linear and integral programming. Math. Programming (1975) 8 207 266 . I Crossref, Google Scholar
• Kannan R. Test sets for integer programs with ∀, ∃ sentences. DI-MACS series (1990) 1 39 47 . AMS Google Scholar
• Lovász L. , Iri M. , Tanabe K. Geometry of numbers and integer programming. Mathematical Programming: Recent Developments and Applications (1989) (Kluwer Acad, Norwell, MA) 177 210 Google Scholar
• Scarf H. E. Neighborhood systems for production sets with indivisibilities. Econometrica (1986) 54 507 532 Crossref, Google Scholar
• Schrijver A. Theory of Linear and Integer Programming (1986) (John Wiley & Sons, New York) Google Scholar
• Shallcross D. Neighbors of the origin for four by three matrices. Math. Oper. Res. (1992) 17 608 614 Link, Google Scholar
• Sturmfels B. , Thomas R. Variation of cost function in integer programming. (Cornell University, Ithaca, NY) . manuscript Google Scholar
• White P. Discrete activity analysis. (1983) . Ph.D. thesis, Yale University, Department of Economics, New Haven, CT Google Scholar