Open Access
2007 On the Integral Carathéodory Property
Winfried Bruns
Experiment. Math. 16(3): 359-365 (2007).


In this note we document the existence of a finitely generated rational cone that is not covered by its unimodular Hilbert subcones, but satisfies the integral Carathéodory property. We explain the algorithms that decide these properties and describe our experimental approach that led to the discovery of the examples


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Winfried Bruns. "On the Integral Carathéodory Property." Experiment. Math. 16 (3) 359 - 365, 2007.


Published: 2007
First available in Project Euclid: 7 March 2008

zbMATH: 1161.52009
MathSciNet: MR2367324

Primary: 52B20

Keywords: Affine monoid , integral Caratheodory property , lattice polytope , unimodular covers

Rights: Copyright © 2007 A K Peters, Ltd.

Vol.16 • No. 3 • 2007
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