  In this paper we research a model of multilayer circuits with a single
logical layer. We consider $\lambda$-separable graphs as a support for
circuits. We establish the Shannon function lower bound $\max
\bigl(\frac{2^n}{n}, \frac{2^n (1 - \lambda)}{\log k} \bigr)$ for this type of
circuits where $k$ is the number of layers. For $d$-dimensional graphs, which
are $\lambda$-separable for $\lambda = \frac{d - 1}{d}$, this gives the Shannon
function lower bound $\frac{2^n}{\min(n, d \log k)}$. For multidimensional
rectangular circuits the proved lower bound asymptotically matches to the upper
bound.
