8 citations · 23 across the 16 of their papers we have counts for
21 papers
Vertex separators, chordality and virtually free groups
Samuel G. Corregidor, Álvaro Martínez-Pérez
In this paper we consider some results obtained for graphs using minimal vertex separators and generalized chordality and translate them to the context of Geometric Group Theory. U…
Decompositions of a rectangle into non-congruent rectangles of equal area
C. Dalfó, M. A. Fiol, N. López +1
In this paper, we deal with a simple geometric problem: Is it possible to partition a rectangle into non-congruent rectangles of equal area? This problem is motivated by the so…
A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs
Alvaro Martinez-Perez, Jose M. Rodriguez
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…
A note on -metric dimensional graphs
Samuel G. Corregidor, Álvaro Martínez-Pérez
Given a graph , a set is called a -\emph{metric generator} for if any pair of different vertices of is distinguished by at least elements of…
Isoperimetric inequalities in Riemann surfaces and graphs
Álvaro Martínez-Pérez, José M. Rodríguez
A celebrated theorem of Kanai states that quasi-isometries preserve isoperimetric inequalities between uniform Riemannian manifolds (with positive injectivity radius) and graphs. O…
Generalized chordality, vertex separators and hyperbolicity on graphs
Álvaro Martínez-Pérez
Let be a graph with the usual shortest-path metric. A graph is -hyperbolic if for every geodesic triangle , any side of is contained in a -neighborhood of the unio…