Kinnersley–West–Zamani 3/5-conjecture for isolate-free forests

Let $G$ be an isolate-free forest of order $n$. In the domination game, Dominator starts in $Dominator-start game$, whose game domination number is denoted by $\gamma_g(G)$, while $\gamma_g'(G)$ denotes the corresponding Staller-start game number.

Kinnersley–West–Zamani 3/5-conjecture.

$$\gamma_g(G) \leq \frac{3n}{5}\quad\text{and}\quad \gamma_g'(G) \leq \frac{3n+2}{5}.$$

This conjecture proposes the sharp upper bounds for the two domination-game variants on isolate-free forests; the paper presents it as an open problem.