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

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3 papers · 1 filter

math.MG2024

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…

math.MG2013

Distances on the tropical line determined by two points

M. J. de la Puente

Let $p^{'}, q^{'} \in R^{n}$ . Write $p^{'} \sim q^{'}$ if $p^{'} - q^{'}$ is a multiple of $(1, \dots, 1)$ . Two different points $p$ and $q$ in $R^{n} / \sim$ uniquely determine a tropical line $L (p, q)$ , passin…

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…