On the query complexity of estimating the distance to hereditary graph properties

Given a family of graphs $mathcal{F}$, we prove that the normalized edit distance of any given graph $Gamma$ to being induced $mathcal{F}$-free is estimable with a query complexity that depends only on the bounds of the Frieze--Kannan Regularity Lemma and on a Removal Lemma for $mathcal{F}$.