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A transitive permutation group $L$ is \\emph{graph-restrictive} if there exists a constant $c(L)$ such that, for every locally-$L$ pair $(\\Gamma,G)$ and an arc $(u,v)$ of $\\Gamma$, the inequality $|G_{uv}|\\leq c(L)$ holds.\n  Using this terminology, the Weiss Conjecture says that primitive groups are graph-restrictive. 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Then $(\\Gamma,G)$ is said to be \\emph{locally-$L$}. A transitive permutation group $L$ is \\emph{graph-restrictive} if there exists a constant $c(L)$ such that, for every locally-$L$ pair $(\\Gamma,G)$ and an arc $(u,v)$ of $\\Gamma$, the inequality $|G_{uv}|\\leq c(L)$ holds.\n  Using this terminology, the Weiss Conjecture says that primitive groups are graph-restrictive. 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