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Let $W_\Gamma$ be the Right-Angled Coxeter group with defining graph$\Gamma$. We show that the asymptotic dimension of $W_\Gamma$ is smaller thanor equal to $dim_{CC}(\Gamma)$, the clique-connected dimension of the graph. Asa corollary we show that $W_\Gamma$ is virtually free if and only if$dim_{CC}(\Gamma)=1$.

A new upper bound for the Asymptotic Dimension of RACGs