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

I. Bárány, Herbert Scarf and D. Shallcross
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I. Bárány: Mathematical Institute
D. Shallcross: Bellcore

Chapter 11 in Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, 2008, pp 191-205 from Palgrave Macmillan

Abstract: Abstract Given a generic m × n matrix A, the simplicial complex Κ(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 with Κ(A) is homeomorphic with Rm−1 © 1998 The Mathematical Programming Society, Inc. Published by Elsevier Science B.V.

Keywords: Minimal test sets for integer programming; Simplicial complexes; Maximal lattice free bodies (search for similar items in EconPapers)
Date: 2008
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Working Paper: The Topological Structure of Maximal Lattice Free Convex Bodies: The General Case (1994)
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DOI: 10.1057/9781137024411_11

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