Luis Montejano

most citedTopological transversals to a family of convex sets

10 citations · 10 across the 2 of their papers we have counts for

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math.CO2012

Transitive oriented 3-Hypergraphs of cyclic orders

Natalia Garcia-Colin, Amanda Montejano, Luis Montejano +1

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 sufficie…

math.CO2010★ 10 cited

Topological transversals to a family of convex sets

L. Montejano, R. N. Karasev

Let $F$ be a family of compact convex sets in $R^{d}$ . We say that $F$ has a \emph{topological $ρ$ -transversal of index $(m, k)$ } ( $ρ < m$ , $0 < k \leq d - m$ ) if…