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Norm-resolvent convergence with order-sharp error estimate is established forNeumann Laplacians on thin domains in $\mathbb{R}^d,$ $d\ge2,$ converging tometric graphs in the limit of vanishing thickness parameter in the resonantcase. The vertex matching conditions of the limiting quantum graph are revealedas being closely related to $\delta'$ type.

Norm-resolvent convergence for Neumann Laplacians on manifolds thinning to graphs