29 citations · 51 across the 8 of their papers we have counts for
9 papers
Roman domination in direct product graphs and rooted product graphs
Abel Cabrera Martinez, Iztok Peterin, Ismael G. Yero
Let be a graph with vertex set . A function is a Roman dominating function on if every vertex for which is adjacent…
A note on the k-tuple domination number of graphs
Abel Cabrera Martinez
In a graph , a vertex dominates itself and its neighbours. A set is said to be a -tuple dominating set of if dominates every vertex of at least…
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…
Total Roman 2-domination in graphs
Suitberto Cabrera Garcia, Abel Cabrera Martinez, Frank A. Hernandez Mira +1
Given a graph , a function is a total Roman -dominating function if: (1) every vertex for which satisfies that $\sum_{u…
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 can be expressed in terms of five different domination parameters of .…
Double domination in lexicographic product graphs
A. Cabrera Martinez, S. Cabrera Garcia, J. A. Rodriguez-Velazquez
In a graph , a vertex dominates itself and its neighbours. A subset is said to be a double dominating set of if dominates every vertex of at least…