5 citations · 5 across the 6 of their papers we have counts for
7 papers
An infinite family of locally X graphs based on incidence geometries
Natalia Garcia-Colin, Dimitri Leemans
A graph is locally X if the graphs induced on the neighbours of every vertex of are isomorphic to the graph . We prove that the infinite family of…
Reconstructing surface triangulations by their intersection matrices
Jorge Arocha, Javier Bracho, Natalia García-Colín +1
The intersection matrix of a finite simplicial complex has as each of its entries the rank of the intersection of its respective simplices. We prove that such matrix defines the tr…
The chromatic number of comparability 3-hypergraphs
Natalia Garcia-Colin, Amanda Montejano, Deborah Oliveros
Beginning with the concepts of orientation for a 3-hypergraph and transitivity for an oriented 3-hypergraph, it is natural to study the class of comparability 3-hypergraphs (those…
Geometric achromatic and pseudoachromatic indices
O. Aichholzer, G. Araujo-Pardo, N. García-Colín +4
The pseudoachromatic index of a graph is the maximum number of colors that can be assigned to its edges, such that each pair of different colors is incident to a common vertex. If…
Projective Equivalences of k-neighbourly Polytopes
Natalia Garcia-Colin, David Larman
We prove the following theorem, which is related to McMullen's problem on projective transformations of polytopes; let and be…
A characterization of triangulations of closed surfaces
Jorge Arocha, Javier Bracho, Natalia Garcia-Colin +1
In this paper we prove that a finite triangulation of a connected closed surface is completely determined by its intersection matrix. The \emph{intersection matrix} of a finite tri…
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…