239 - Abstract: Avancées sur la conjecture de Sidney-Sidney-Urrutia (avec Roman Bayon, Jean-Sébastien Sereni).

R. Bayon, N. Lygeros, J-S. Sereni

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Abstract: With a new method based on the notion of genetic algorithm and the explicit enumeration of orders, we prove that all orders on at most 10 elements are circle orders. This theorem represents the best partial result on Sidney-Sidney-Urrutia Conjecture.