  We extend the surgical tool box for quantum graphs to anti-standard and
$\delta'$ vertex conditions. Monotonicity properties of eigenvalues of graph
Laplacian with $\delta'$ interactions at vertices depend on the sign of vertex
parameter. Using several interlacing inequalities between eigenvalues of graph
Laplacian with different vertex conditions and surgery principles we obtain new
upper and lower bounds on the eigenvalues of $\delta$ and $\delta'$ Laplacians.
