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math.CO2022★ 2 cited
A proof of the 3/5-conjecture in the domination game
Leo Versteegen
The domination game is an optimization game played by two players, Dominator and Staller, who alternately select vertices in a graph . A vertex is said to be dominated if it has…
math.CO2022
On the number of minimum dominating sets and total dominating sets in forests
Jan Petr, Julien Portier, Leo Versteegen
We show that the maximum number of minimum dominating sets of a forest with domination number is at most and construct for each a tree with domination number $…