5 citations · 6 across the 4 of their papers we have counts for
4 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…
Orthogonality for tropical normal matrices
Bakhad Bakhadly, Alexander Guterman, María Jesús de la Puente
We study pairs of mutually orthogonal normal matrices with respect to tropical multiplication. Minimal orthogonal pairs are characterized. The diameter and girth of three graphs ar…
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…