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On the integral Caratheodory property

2006/12/19 by Winfried Bruns, Bruns, Winfried
Computer Science · #52B20 #Advanced Graph Theory Research #Combinatorics (math.CO) #Complexity and Algorithms in Graphs #Computational Geometry and Mesh Generation #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.math/0612538

openalex publication_date 2006/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 Caratheodory 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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