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Adjacent Vertex Distinguishing Total Coloring of Corona Product of Graphs
Hanna Furmańczyk, Rita Zuazua
An adjacent vertex distinguishing total -coloring of a graph is a proper total -coloring of such that no pair of adjacent vertices has the same color sets, where…
A characterization of trees having a minimum vertex cover which is also a minimum total dominating set
César Hernández-Cruz, Magdalena Lemańska, Rita Zuazua
A vertex cover of a graph is a set such that each edge of is incident to at least one vertex of . A dominating set is a total do…
On the super domination number of lexicographic product graphs
M. Dettlaff, M. Lemańska, J. A. Rodríguez-Velázquez +1
The neighbourhood of a vertex of a graph is the set of all vertices adjacent to in . For we define . A set $D\…
Twin domination number of Tournaments
Dorota Osula, Rita Zuazua
Let be a digraph. A subset of is called a twin dominating set of if for every vertex , there exists vertices such that and…