  Let $f,g\in\mathbb{C}\{x,y\}$ be germs of functions defining plane curve
singularities without common components in $(\mathbb{C}^2,0)$ and let
$\Phi(x,y,z) = f(x,y) + zg(x,y)$. We give an explicit algorithm producing a
plumbing graph for the boundary of the Milnor fiber of $\Phi$ in terms of a
common resolution for $f$ and $g$.
