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A proof of the 3/4 conjecture for the total domination game

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arxiv 2211.16432 v2 pith:JG2EJG5M submitted 2022-11-29 math.CO

classification math.CO
keywords dominationgametotalconjectureverticesconfirmingdescribedominator
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abstract

In this paper we describe a strategy for Dominator that finishes the total domination game in at most $3/4n$ moves for every graph $G$ on $n$ vertices without any isolated vertices or edges, confirming the 3/4-conjecture for the total domination game made by Henning, Klav{\v{z}}ar, and Rall.

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