منابع مشابه
A Multiple Exchange Property for Bases
Let X and Y be bases of a combinatorial geometry G, and let A be any subset of X. Then there exists a subset B of Y with the property that (X—A)kjB and (Y— B)\jA are both bases ofG.
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In this paper we construct a unique representation basis whose growth is more than x1/2−ε for infinitely many positive integers x , which solves a problem posed by Nathanson in [M.B. Nathanson, Unique representation bases for the integers, Acta Arith. 108 (2003) 1–8]. c © 2005 Elsevier Ltd. All rights reserved. MSC: 11B13; 11B34; 11B05 Let A be a set of integers, and let rA(n) = #{(a, b) : a, b...
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We study the uniqueness of minimal liftings of cut generating functions obtained from maximal lattice-free polytopes. We prove a basic invariance property of unique minimal liftings for general maximal lattice-free polytopes. This generalizes a previous result by Basu, Cornuéjols and Köppe [3] for simplicial maximal lattice-free polytopes, thus completely settling this fundamental question abou...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1980
ISSN: 0024-3795
DOI: 10.1016/0024-3795(80)90209-8