Ontology type: schema:Chapter Open Access: True
2011
AUTHORSPiotr Berman , Erik D. Demaine , Morteza Zadimoghaddam
ABSTRACTWe 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. More... »
PAGES62-74
Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
ISBN
978-3-642-22934-3
978-3-642-22935-0
http://scigraph.springernature.com/pub.10.1007/978-3-642-22935-0_6
DOIhttp://dx.doi.org/10.1007/978-3-642-22935-0_6
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