arXiv subjects

José Ramón Portillo

Publications and source records attributed to José Ramón Portillo.

2 recordsLinked to original sources

arXiv2016

An algorithm that constructs irreducible triangulations of once-punctured surfaces

A triangulation of a surface is irreducible if there is no edge whose contraction produces another triangulation of the surface. In this work we propose an algorithm that constructs the set of irreducible triangulations of any surface with precisely one boundary component. By implementing the algorithm on computer, we have found a list of 297 nonisomorphic combinatorial types of irreducible triangulations on the once-punctured torus.

math.CO↗

arXiv2015

Orthogonal Representation of Graphs

Orthogonal Graph Representations are essential tools for testing existence of hidden variables in quantum theory. As required by the interpretation of Copenhaghe on the foundations of quantum mechanics, a physical observable is not determined before its observation. Conducting experiments quantum contextuality or the information capacity of a quantum system are closely related to the orthogonal representations.

math.CO↗