3 problems

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The three-sevenths conjecture for trees in the game isolation number
Tree three-sevenths conjecture. If $T$ is a tree of order $n\geq 3$ , then
Conjectureopendomination-games graph-theory isolation-gamesarXiv posted 2 days ago
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The minimum-degree three-sevenths conjecture for the game isolation number
Minimum-degree three-sevenths conjecture. If $\delta(G)\geq 2$ , then
Conjectureopendomination-games graph-theory isolation-gamesarXiv posted 2 days ago
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The three-sevenths upper-bound conjecture for the game isolation number
Three-sevenths upper-bound conjecture. For any graph $G$ with no $K_2$ -components,
Conjectureopendomination-games graph-theory isolation-gamesarXiv posted 2 days ago

The three-sevenths conjecture for trees in the game isolation number