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Channel assignment via fast zeta transform
Authors:Marek Cygan  ?ukasz Kowalik
Affiliation:Institute of Informatics, University of Warsaw, Poland
Abstract:We show an O?(n(?+1))-time algorithm for the channel assignment problem, where ? is the maximum edge weight. This improves on the previous O?(n(?+2))-time algorithm by Král (2005) [1], as well as algorithms for important special cases, like L(2,1)-labeling. For the latter problem, our algorithm works in O?(n3) time. The progress is achieved by applying the fast zeta transform in combination with the inclusion-exclusion principle.
Keywords:Algorithms   Channel assignment   Inclusion-exclusion   Exact algorithm     mmlsi9"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0020019011001281&  _mathId=si9.gif&  _pii=S0020019011001281&  _issn=00200190&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=26fb646257365e098daabff185fee184')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >L(2,1)-labeling
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