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Paper detail

Transitive oriented 3-Hypergraphs of cyclic orders

In this paper we introduce the definition of transitivity for oriented 3-hypergraphs in order to study partial and complete cyclic orders. This definition allow us to give sufficient conditions on a partial cyclic order to be totally extendable. Furthermore, we introduce the 3-hypergraph associated to a cyclic permutation and characterize it in terms of cyclic comparability 3-hypergraphs.

preprint2012arXivOpen access
Natalia Garcia-ColinAmanda MontejanoLuis MontejanoDeborah Oliveros
math.CO
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Natalia Garcia-ColinAmanda MontejanoLuis MontejanoDeborah Oliveros

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