| Date: |
1997 |
| Abstract: |
In this paper I discuss various properties of the simplicial complex of maximal lattice free bodies associated with a matrix A. If the matrix satisfies some mild conditions, and is generic, the edges of the complex form the minimal test set for the family of integer programs obtained by selecting a particular row of A as the objective function, and using the remaining rows to impose constraints on the integer variables. . |
| Rights: |
Tots els drets reservats.  |
| Language: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Subject: |
Test sets ;
Integer programming ;
Simplicial complexes ;
Groebner bases |
| Published in: |
Mathematical Programming, vol. 79 n. 1-3 (1997) p. 355-368, ISSN 0025-5610 |
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