Juan A. Rodríguez‐Velázquez

activity

20142021

most citedNew inequalities involving the Geometric-Arithmetic index

5 citations · 14 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2021

On the $2$ -packing differential of a graph

A. Cabrera Martinez, M. L. Puertas, J. A. Rodriguez-Velazquez

Let $G$ be a graph of order $n (G)$ and vertex set $V (G)$ . Given a set $S \subseteq V (G)$ , we define the external neighbourhood of $S$ as the set $N_{e} (S)$ of all vertices in $V(G)\se…

cs.DM2021★ 5 cited

Perfect domination, Roman domination and perfect Roman domination in lexicographic product graphs

A. Cabrera Martinez, C. Garcia-Gomez, J. A. Rodriguez-Velazquez

The aim of this paper is to obtain closed formulas for the perfect domination number, the Roman domination number and the perfect Roman domination number of lexicographic product g…

math.CO2016★ 5 cited

New inequalities involving the Geometric-Arithmetic index

J. M. Rodriguez, J. A. Rodriguez-Velazquez, J. M. Sigarreta

Let $G = (V, E)$ be a simple connected graph and $d_{i}$ be the degree of its $i$ th vertex. In a recent paper [J. Math. Chem. 46 (2009) 1369-1376] the first geometric-arithmetic index o…

math.CO2014★ 4 cited

The $k$ -metric dimension of the lexicographic product of graphs

A. Estrada-Moreno, I. G. Yero, J. A. Rodríguez-Velázquez

Given a simple and connected graph $G = (V, E)$ , and a positive integer $k$ , a set $S \subseteq V$ is said to be a $k$ -metric generator for $G$ , if for any pair of different vertices $…

On the 2-packing differential of a graph

Perfect domination, Roman domination and perfect Roman domination in lexicographic product graphs

New inequalities involving the Geometric-Arithmetic index

The k-metric dimension of the lexicographic product of graphs

On the $2$ -packing differential of a graph

The $k$ -metric dimension of the lexicographic product of graphs