ISSN:
1436-4646
Keywords:
Minimal test sets for integer programming
;
Simplicial complexes
;
Maximal lattice free bodies
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract The simplicial complexK(A) is defined to be the collection of simplices, and their proper subsimplices, representing maximal lattice free bodies of the form (x: Ax⩽b), withA a fixed generic (n + 1) ×n matrix. The topological space associated withK(A) is shown to be homeomorphic to ℝ n , and the space obtained by identifying lattice translates of these simplices is homeorphic to then-torus.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01581150
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