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Polynomial eta-boundedness of $P_5$ -free graphs
Polynomial $P_5$ -free eta-boundedness conjecture. There exists $d\in\mathbb{N}$ such that every $P_5$ -free graph $G$ satisfies $\eta(G)\leq\omega(G)^d$ .
openeta-boundedness path-free-graphs polynomial-bounds
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Polynomial eta-boundedness of P5P_5P5​-free graphs