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Nonnegative integral subset representations of integer sets
Authors:Michael J Collins  David Kempe
Affiliation:a Sandia National Laboratories, Albuquerque, NM, USA
b Department of Computer Science, University of Southern California, CA, USA
c Department of Computer Science, University of New Mexico, NM, USA
Abstract:We consider an integer-subset representation problem motivated by a medical application in radiation therapy. We prove NP-completeness, derive nontrivial bounds, and report on the performance of a greedy heuristic.
Keywords:Approximation algorithms  Combinatorial problems  Heuristics  Additive number theory  Radiology
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