We compare our upper bounds on the exponential growth constant $φ(Λ)$ characterizing the asymptotic behavior of spanning forests on Archimedean lattices $Λ$ with recently derived upper bounds. Our upper bounds on $φ(Λ)$, which are very close to the respective values of $φ(Λ)$ that we have calculated, are shown to be significantly better for these lattices than the new upper bounds.
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