7 citations
2 papers
math.CO2020★ 7 cited
Maker-Breaker total domination game on cubic graphs
Jovana Forcan, Mirjana Mikalački
We study Maker--Breaker total domination game played by two players, Dominator and Staller, on the connected cubic graphs. Staller (playing the role of Maker) wins if she manages t…
math.CO2020★ 5 cited
Maker-Breaker domination number for Cartesian products of path graphs and
Jovana Forcan, Jiayue Qi
We study the Maker-Breaker domination game played by Dominator and Staller on the vertex set of a given graph. Dominator wins when the vertices he has claimed form a dominating set…