12 citations · 18 across the 7 of their papers we have counts for
8 papers
The volume of an isocanted cube is a determinant
M. J de la Puente, P. L. Clavería
In any dimension d>=2, we give exact volume formulas of two mutually polar dual convex d--polytopes. The primal body is called isocanted cube of dimension d, depending on two real…
Distances on the tropical line determined by two points
M. J. de la Puente
Let . Write if is a multiple of . Two different points and in uniquely determine a tropical line , passin…
Cómo obtener curvas con formas predeterminadas a partir de circunferencias
M. J. de la Puente
We produce several algebraic curves, some well--known, some new, out of circles, by means of two classical (mutually reciprocal) algebraic methods: blow--down and blow--up.
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 is characte…
Matrices commuting with a given normal tropical matrix
J. Linde, M. J. de la Puente
Consider the space of square normal matrices over , i.e., and . Endow with the tro…
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…
An algorithm to describe the solution set of any tropical linear system
E. Lorenzo, M. J. de la Puente
An algorithm to give an explicit description of all the solutions to any tropical linear system is presented. The given system is converted into a finite (rathe…
Tropical linear maps on the plane
M. J. de la Puente
In this paper we fully describe all tropical linear mappings in the tropical projective plane, that is, maps from the tropical plane to itself given by tropical multiplication by a…