2 citations · 2 across the 4 of their papers we have counts for
6 papers
Upper and lower bounds for topological indices on unicyclic graphs
Álvaro Martínez-Pérez, José M. Rodríguez
The aim of this paper is to obtain new inequalities for a large family of topological indices restricted to unicyclic graphs and to characterize the set of extremal unicyclic graph…
Finite metric and -metric bases on ultrametric spaces
Samuel G. Corregidor, Álvaro Martínez-Pérez
Given a metric space , a set is called a -\emph{metric generator} for if any pair of different points of is distinguished by at least elements…
Cheeger isoperimetric constant of Gromov hyperbolic manifolds and graphs
Álvaro Martínez-Pérez, José M. Rodríguez
In this paper we study the relationship of hyperbolicity and (Cheeger) isoperimetric inequality in the context of Riemannian manifolds and graphs. We characterize the hyperbolic ma…
Real valued functions and metric spaces quasi-isometric to trees
Álvaro Martínez-Pérez
We prove that if X is a complete geodesic metric space with uniformly generated first homology group and is metrically proper on the connected components and bornologou…
Zig-zag chains and metric equivalences between ultrametric spaces
Álvaro Martínez-Pérez
We study the classification of ultrametric spaces based on their small scale geometry (uniform homeomorphism), large scale geometry (coarse equivalence) and both (all scale uniform…
Inverse sequences, rooted trees and their end spaces
Álvaro Martínez-Pérez, Manuel A. Morón
In this paper we prove that if we consider the standard real metric on simplicial rooted trees then the category Tower-Set of inverse sequences can be described by means of the bou…