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The topological structure of maximal lattice free convex bodies: The general case (1998)

Bárány, I. ; Scarf, H. E. ; Shallcross, D.

Springer

Mathematical programming 80 (1998), S. 1-15

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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 Given a genericm × n matrixA, the simplicial complexK(A) is defined to be the collection of simplices representing maximal lattice point free convex bodies of the form {x : Ax ⩽ b}. The main result of this paper is that the topological space associated withK(A) is homeomorphic withR m−1 . © 1998 The Mathematical Programming Society, Inc. Published by Elsevier Science B.V.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01582128

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