I. P. Silva

activity

20052020

collaborators

Showing math.COShow all

4 papers · 1 filter

math.CO2020

Cubes and adjoints of cross-polytopes

J. Lawrence, I. P. Silva

We describe a bijection between oriented cubes and adjoints of cross-polytopes. This correspondence is used to prove that the real affine cube is, up to reorientation in the same c…

math.CO2020

Rectangles, integer vectors and hyperplanes of the hypercube

E. Gioan, I. P. Silva

We introduce a family of nonnegative integer vectors - primitive vectors - defining hyperplanes of the real affine cube over $C^{n} := {- 1, 1}^{n}$ and study their properties with respe…

math.CO2009

Distinct Matroid Base Weights and Additive Theory

Y. O. Hamidoune, I. P. da Silva

Let $M$ be a matroid on a set $E$ and let $w : E ⟶ G$ be a weight function, where $G$ is a cyclic group. Assuming that $w (E)$ satisfies the Pollard's Condition (i.e. Eve…

math.CO2005

Las Vergnas Cube Conjecture and reconstruction properties of the cube matroid

Ilda P. F. Da Silva

Las Vergnas Cube Conjecture states that the cube matroid has exactly one class of orientations. We prove that this conjecture is equivalent to saying that the oriented matroid of t…