English

Channel Assignment via Fast Zeta Transform

Data Structures and Algorithms 2011-03-14 v1

Abstract

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*(3^n) time. The progress is achieved by applying the fast zeta transform in combination with the inclusion-exclusion principle.

Cite

@article{arxiv.1103.2275,
  title  = {Channel Assignment via Fast Zeta Transform},
  author = {Marek Cygan and Łukasz Kowalik},
  journal= {arXiv preprint arXiv:1103.2275},
  year   = {2011}
}

Comments

6 pages

R2 v1 2026-06-21T17:38:21.290Z