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arXiv 2011-03-11 0 views

Channel Assignment via Fast Zeta Transform

Cygan, Marek · Kowalik, Łukasz

Original · EN

We show an O*((l+1)ⁿ)-time algorithm for the channel assignment problem, where l is the maximum edge weight. This improves on the previous O*((l+2)ⁿ)-time algorithm by Kral, as well as algorithms for important special cases, like L(2,1)-labelling. For the latter problem, our algorithm works in O*(3ⁿ) time. The progress is achieved by applying the fast zeta transform in combination with the inclusion-exclusion principle.

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