8 citations · 23 across the 16 of their papers we have counts for
8 papers · 1 filter
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 -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…
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…
A new approximation to the geometric-arithmetic index
Alvaro Martínez-Pérez, José M. Rodríjuez, José M. Sigarreta
The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. The aim of this paper is to obtain new inequalities i…
A note on extremal results on directed acyclic graphs
A. Martínez-Pérez, L. Montejano, D. Oliveros
The family of Directed Acyclic Graphs as well as some related graphs are analyzed with respect to extremal behavior in relation with the family of intersection graphs for families…
Chordality properties and hyperbolicity on graphs
A. 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…