Abel Cabrera Martínez

activity

20172021

most citedDouble domination in lexicographic product graphs

29 citations · 51 across the 8 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.CO2021

Roman domination in direct product graphs and rooted product graphs

Abel Cabrera Martinez, Iztok Peterin, Ismael G. Yero

Let $G$ be a graph with vertex set $V (G)$ . A function $f : V (G) \to {0, 1, 2}$ is a Roman dominating function on $G$ if every vertex $v \in V (G)$ for which $f (v) = 0$ is adjacent…

math.CO2021★ 5 cited

A note on the k-tuple domination number of graphs

Abel Cabrera Martinez

In a graph $G$ , a vertex dominates itself and its neighbours. A set $D \subseteq V (G)$ is said to be a $k$ -tuple dominating set of $G$ if $D$ dominates every vertex of $G$ at least…

math.CO2021

A note on double domination in graphs

Abel Cabrera Martinez, Juan A. Rodriguez-Velazquez

Recently, Haynes, Hedetniemi and Henning published the book Topics in Domination in Graphs, which comprises 16 contributions that present advanced topics in graph domination, featu…

math.CO2021★ 13 cited

Total Roman 2-domination in graphs

Suitberto Cabrera Garcia, Abel Cabrera Martinez, Frank A. Hernandez Mira +1

Given a graph $G = (V, E)$ , a function $f : V \to {0, 1, 2}$ is a total Roman ${2}$ -dominating function if: (1) every vertex $v \in V$ for which $f (v) = 0$ satisfies that $\sum_{u…