activity
20132026
most citedThe k-metric dimension of a graph

79 citations · 90 across the 7 of their papers we have counts for

collaborators

8 papers

math.CO2026

The Equidistant Dimension of Corona Product Graphs

Sandor E. Tuñón-Andrés, Alejandro Estrada-Moreno, Juan A. Rodríguez-Velázquez

A subset of vertices, in a connected graph , is called a distance-equalizer set if for every pair of distinct vertices outside , there exists a vertex in equidistant…

math.CO2023

Total mutual-visibility in graphs with emphasis on lexicographic and Cartesian products

Dorota Kuziak, Juan A. Rodríguez-Velázquez

Given a connected graph , the total mutual-visibility number of , denoted , is the cardinality of a largest set such that for every pair of vertices…

math.CO2017

On the super domination number of graphs

Douglas J. Klein, Juan A. Rodríguez-Velázquez, Eunjeong Yi

The open neighbourhood of a vertex of a graph is the set consisting of all vertices adjacent to in . For , we define $\overline{D}=V(G)\setmi…

math.CO2015

On the General Randić index of polymeric networks modelled by generalized Sierpiński graphs

Alejandro Estrada-Moreno, Juan A. Rodríguez-Velázquez

The General Randić index of a simple graph is defined as \[ R_α(G)=\sum_{v_{i}\sim v_{j}} (δ_{i}δ_{j})^α, \] where denotes the degree of the vertex . Rodríguez…

math.CO2015★ 1 cited

On Generalized Sierpiński Graphs

Juan A. Rodríguez-Velázquez, Erick D. Rodríguez-Bazan, Alejandro Estrada-Moreno

In this paper we obtain closed formulae for several parameters of generalized Sierpiński graphs in terms of parameters of the base graph . In particular, we focus on th…

math.CO2013★ 79 cited

The k-metric dimension of a graph

Alejandro Estrada-Moreno, Juan A. Rodríguez-Velázquez, Ismael G. Yero

As a generalization of the concept of a metric basis, this article introduces the notion of -metric basis in graphs. Given a connected graph , a set is s…