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Erschienen in:
2011 | OriginalPaper | Buchkapitel
O(1)-Approximations for Maximum Movement Problems
verfasst von : Piotr Berman, Erik D. Demaine, Morteza Zadimoghaddam
Erschienen in: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
Verlag: Springer Berlin Heidelberg
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We develop constant-factor approximation algorithms for minimizing the maximum movement made by pebbles on a graph to reach a configuration in which the pebbles form a connected subgraph (connectivity), or interconnect a constant number of stationary nodes (Steiner tree). These problems model the minimization of the total time required to reconfigure a robot swarm to achieve a proximity (e.g., radio) network with these connectivity properties. Our approximation factors are tight up to constant factors, as none of these problems admit a (2 −
ε
)-approximation assuming P ≠ NP.