  This work presents exact expressions for size distributions of
weak/multilayer connected components in two generalisations of the
configuration model: networks with directed edges and multiplex networks with
arbitrary number of layers. The expressions are computable in a polynomial
time, and, under some restrictions, are tractable from the asymptotic theory
point of view. If first partial moments of the degree distribution are finite,
the size distribution for two-layer connected components in multiplex networks
exhibits exponent $-\frac{3}{2}$ in the critical regime, whereas the size
distribution of weakly connected components in directed networks exhibits two
critical exponents, $-\frac{1}{2}$ and $-\frac{3}{2}$.
