Abel Cabrera Martínez

most citedTotal Roman 2-domination in graphs

13 citations · 14 across the 3 of their papers we have counts for

collaborators

4 papers

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…

math.CO2020

Double domination in lexicographic product graphs

A. Cabrera Martinez, S. Cabrera Garcia, J. A. Rodriguez-Velazquez

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

math.CO2020

Dominating the direct product of two graphs through total Roman strategies

Abel Cabrera Martinez, Dorota Kuziak, Iztok Peterin +1

Given a graph $G$ without isolated vertices, a total Roman dominating function for $G$ is a function $f : V (G) \to {0, 1, 2}$ such that every vertex with label 0 is adjacent…

math.CO2020★ 1 cited

A note on total co-independent domination in trees

Abel Cabrera Martínez, Frank A. Hernández Mira, José M. Sigarreta Almira +1

A set $D$ of vertices of a graph $G$ is a total dominating set if every vertex of $G$ is adjacent to at least one vertex of $D$ . The total domination number of $G$ is the minimum c…