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- W4300115459 abstract "We study the complexity of the Channel Assignment problem. By applying the meet-in-the-middle approach we get an algorithm for the $ell$-bounded Channel Assignment (when the edge weights are bounded by $ell$) running in time $O^*((2sqrt{ell+1})^n)$. This is the first algorithm which breaks the $(O(ell))^n$ barrier. We extend this algorithm to the counting variant, at the cost of slightly higher polynomial factor. A major open problem asks whether Channel Assignment admits a $O(c^n)$-time algorithm, for a constant $c$ independent of $ell$. We consider a similar question for Generalized T-Coloring, a CSP problem that generalizes CA. We show that Generalized T-Coloring does not admit a $2^{2^{oleft(sqrt{n}right)}} {rm poly}(r)$-time algorithm, where $r$ is the size of the instance." @default.
- W4300115459 created "2022-10-03" @default.
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- W4300115459 date "2014-07-26" @default.
- W4300115459 modified "2023-09-29" @default.
- W4300115459 title "Assigning channels via the meet-in-the-middle approach" @default.
- W4300115459 doi "https://doi.org/10.48550/arxiv.1407.7161" @default.
- W4300115459 hasPublicationYear "2014" @default.
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