10 citations · 49 across the 34 of their papers we have counts for
6 papers · 1 filter
Extremal inscribed and circumscribed complex ellipsoids
Jorge L. Arocha, Javier Bracho, Luis Montejano
We prove that if a convex set in Cn contains two inscribed complex ellipsoid of maximal volume then one is a translate of the other. On the other hand, the circumscribed complex el…
Self-dual Maps I : antipodality
Luis Montejano, Jorge L. Ramírez Alfonsín, Ivan Rasskin
A self-dual map is said to be \emph{antipodally self-dual} if the dual map is antipodal embedded in with respect to . In this paper, we investigate nece…
Italian domination in rooted product graphs
R. Hernandez-Ortiz, L. P. Montejano, J. A. Rodriguez-Velazquez
In this article, we obtain closed formulae for the Italian domination number of rooted product graphs. As a particular case of the study, we derive the corresponding formulas for c…
On the complex Banach conjecture
Javier Bracho, Luis Montejano
The complex conjecture of Stefan Banach states that if V is a Banach space over the complex numbers where for some n, 1<n<dim(V), all of its n-dimensional subspaces are isometric,…
Strongly involutive self-dual polyhedra
Javier Bracho, Luis Montejano, Eric Pauli +1
A polyhedron is a graph which is simple, planar and 3-connected. In this note, we classify the family of strongly involutive self-dual polyhedra. The latter is done by using a…
Convex Bodies with affinely equivalent projections and affine bodies of revolution
Luis Montejano
Abstract In this paper, we study affine bodies of revolution. This will allow us to prove that a convex body all whose orthogonal -projections are affinely equivalent is an elli…