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We study the complexity of the Channel Assignment problem. By applying themeet-in-the-middle approach we get an algorithm for the $\ell$-bounded ChannelAssignment (when the edge weights are bounded by $\ell$) running in time$O^*((2\sqrt{\ell+1})^n)$. This is the first algorithm which breaks the$(O(\ell))^n$ barrier. We extend this algorithm to the counting variant, at thecost of slightly higher polynomial factor.  A major open problem asks whether Channel Assignment admits a $O(c^n)$-timealgorithm, for a constant $c$ independent of $\ell$. We consider a similarquestion for Generalized T-Coloring, a CSP problem that generalizes \CA. Weshow that Generalized T-Coloring does not admit a$2^{2^{o\left(\sqrt{n}\right)}} {\rm poly}(r)$-time algorithm, where $r$ is thesize of the instance.

Assigning channels via the meet-in-the-middle approach