Luis Ángel Calvo Pascual, Susana Merchán Rubira, Dulcinea Raboso Paniagua, Javier Rodrigo Hitos, José Samuel Rodríguez García
Motivated by an open problem in the literature stated by Mirzakhani and Vondrák, we give a lower bound of the number of non-monochromatic simplices for Sperner labelings of the vertices of a triangulation of a given k-simplex with vertices of integer coordinates. This triangulation maximizes the number of simplices over all the triangulations of the k-simplex with vertices of integer coordinates.