Universidad Autónoma de Guerrero

output

20062025

most citedTopological versus spectral properties of random geometric graphs

23 citations

researchers with a paper here

collaborating institutions

38 papers

cond-mat.dis-nn2025

On the extremal spectral properties of random graphs

C. T Martínez Martínez, J. A. Méndez Bermúdez

In this work, we study some statistical properties of the extreme eigenstates of the randomly-weighted adjacency matrices of random graphs. We focus on two random graph models: Erd…

math.CO2025

On the distribution of topological and spectral indices on random graphs

C. T. Martínez-Martínez, R. Aguilar-Sánchez, J. A. Méndez-Bermúdez

We perform a detailed statistical study of the distribution of topological and spectral indices on random graphs $G = (V, E)$ in a wide range of connectivity regimes. First, we consid…

math.MG2025

Characterization of the sphere by means of congruent support cones

Efren Morales Amaya

Let $M$ be a convex body and let $K$ be a closed convex surface $K$ both contained in the Euclidean space $E^{3}$ . What can we say about $M$ if $K$ encloses $M$ and if from…

math.MG2024

Convex bodies with pairs of sections associated by reflections

Efren Morales-Amaya

In this work we prove that if for a pair of convex bodies $K_{1}, K_{2} \subset R^{n}$ , $n \geq 3$ , there exists a hyperplane $H$ and two distinct points $p_{1}$ and $p_{2}$ in $\ma…

cs.DM2024★ 2 cited

Reducing Dominating Sets in Graphs

Ernesto Parra Inza, José María Sigarreta Almira, Nodari Vakhania

A dominating set of a graph $G = (V, E)$ is a subset of vertices $S \subseteq V$ such that every vertex $v \in V ∖ S$ has at least one neighbor in set $S$ . The corresponding opti…

math.MG2024★ 1 cited

On characteristic properties of the ellipsoid in terms of circumscribed cones of a convex body

Efrén Morales-Amaya, Geronimmo Mondragón, Jesús Jerónimo-Castro

We strongly believe that in order to prove two important geometrical pro\-blems in convexity, namely, the G. Bianchi and P. Gruber's Conjecture \cite{bigru} and the J. A. Barker an…