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In this comment paper we present two misconceptions found in paper ofNahimovs et al. \emph{On the probability of finding marked connected componentsusing quantum walks}. First, we show that the Theorem 2 (sufficient andnecessary condition for a state to be stationary) is incomplete -- it worksonly if unmarked vertices form a single connected component. Second, we correctderivation of \emph{a} coefficient in the Theorem 3 (lower bound on theprobability) and show how to upper bound value of \emph{a}.

Comment on Nahimovs et al. `On the probability of finding marked connected components using quantum walks'