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Maker-Breaker total domination game on cubic graphs by Forcan, Jovana; Mikalački, Mirjana is a scholarly article available to read on EtoBox.

What is Maker-Breaker total domination game on cubic graphs about?

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 to claim an open neighbourhood of a vertex. Dominator wins otherwise (i.e.\ if he can claim a total dominating set of a graph). For certain graphs on $n\geq 6$ vertices, we give the characterization on those which are Dominator's win and those which are Staller's win.

Author

Forcan, Jovana; Mikalački, Mirjana

Published

2020

Language

EN