A. Estrada-Moreno

activity

20162021

collaborators

4 papers

math.CO2021

From (secure) w-domination in graphs to protection of lexicographic product graphs

Abel Cabrera Martinez, Alejandro Estrada Moreno, Juan Alberto Rodriguez-Velazquez

Let $w = (w_{0}, w_{1}, \dots, w_{l})$ be a vector of nonnegative integers such that $w_{0} \geq 1$ . Let $G$ be a graph and $N (v)$ the open neighbourhood of $v \in V (G)$ . We say that a function…

math.CO2020

From Italian domination in lexicographic product graphs to w-domination in graphs

A. Cabrera Martinez, A. Estrada-Moreno, J. A. Rodriguez-Velazquez

In this paper, we show that the Italian domination number of every lexicographic product graph $G \circ H$ can be expressed in terms of five different domination parameters of $G$ .…

math.CO2018

On the $k$ -partition dimension of graphs

Alejandro Estrada-Moreno

As a generalization of the concept of the partition dimension of a graph, this article introduces the notion of the $k$ -partition dimension. Given a nontrivial connected graph $G=(…

math.CO2016

The k-metric dimension of graphs: a general approach

A. Estrada-Moreno, I. G. Yero, J. A. Rodriguez-Velazquez

Let $(X, d)$ be a metric space. A set $S \subseteq X$ is said to be a $k$ -metric generator for $X$ if and only if for any pair of different points $u, v \in X$ , there exist at least $k…

From (secure) w-domination in graphs to protection of lexicographic product graphs

From Italian domination in lexicographic product graphs to w-domination in graphs

On the k-partition dimension of graphs

The k-metric dimension of graphs: a general approach

On the $k$ -partition dimension of graphs