M. J. de la Puente

activity

20092024

most citedOn tropical Kleene star matrices and alcoved polytopes

12 citations · 18 across the 7 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.MG2012★ 12 cited

On tropical Kleene star matrices and alcoved polytopes

M. J. de la Puente

In this paper we give a short, elementary proof of a known result in tropical mathematics, by which the convexity of the column span of a zero--diagonal real matrix $A$ is characte…

math.RA2012

Matrices commuting with a given normal tropical matrix

J. Linde, M. J. de la Puente

Consider the space $M_{n}^{n or}$ of square normal matrices $X = (x_{ij})$ over $R \cup {- \infty}$ , i.e., $- \infty \leq x_{ij} \leq 0$ and $x_{ii} = 0$ . Endow $M_{n}^{n or}$ with the tro…

math.CO2012★ 5 cited

Six combinatorial clases of maximal convex tropical polyhedra

A. Jiménez, M. J. de la Puente

In this paper we bring together tropical linear algebra and convex 3-dimensional bodies. We show how certain convex 3-dimensional bodies having 20 vertices and 12 facets can be enc…