29 citations · 51 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
Dominating the direct product of two graphs through total Roman strategies
Abel Cabrera Martinez, Dorota Kuziak, Iztok Peterin +1
Given a graph without isolated vertices, a total Roman dominating function for is a function such that every vertex with label 0 is adjacent…
A note on total co-independent domination in trees
Abel Cabrera Martínez, Frank A. Hernández Mira, José M. Sigarreta Almira +1
A set of vertices of a graph is a total dominating set if every vertex of is adjacent to at least one vertex of . The total domination number of is the minimum c…