By Magnús M. Halldórsson (auth.), Paola Flocchini, Jie Gao, Evangelos Kranakis, Friedhelm Meyer auf der Heide (eds.)

ISBN-10: 3642453457

ISBN-13: 9783642453458

ISBN-10: 3642453465

ISBN-13: 9783642453465

This e-book constitutes the lawsuits of the ninth overseas Symposium on Algorithms for Sensor structures, instant advert Hoc Networks and self reliant cellular Entities, ALGOSENSORS 2013, held in Sophia Antipolis, France, in September 2013. the nineteen papers awarded during this quantity have been conscientiously reviewed and chosen from 30 submissions. They care for sensor community algorithms, instant networks and dispensed robotics algorithms; and experimental algorithms.

**Read Online or Download Algorithms for Sensor Systems: 9th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2013, Sophia Antipolis, France, September 5-6, 2013, Revised Selected Papers PDF**

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**Additional info for Algorithms for Sensor Systems: 9th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2013, Sophia Antipolis, France, September 5-6, 2013, Revised Selected Papers**

**Sample text**

This implies the lemma. Theorem 5. If R > 1, then k-token dissemination can be done in Θ(n(n + k) · min{vmax , R} · R−2 ) rounds and counting can be done in Θ(n2 · min{vmax , R} · R−2 ) rounds. 32 S. Abshoﬀ et al. Proof. If R > 1, then according to Lemma 1 the geometric dynamic network is −1 )-interval connected. Thus, by Theorem 3, the algorithms by Kuhn Θ(R · vmax et al. need Θ(n(n + k) · min{vmax , R} · R−1 ) rounds for k-token dissemination and Θ(n2 · min{vmax , R} · R−1 ) rounds for counting.

In the wake-up position-aware minimum connected dominating set problem in unit disk graphs also the position of the known nodes is available to the algorithm. 4 Lower Bounds The problem of computing the minimum connected dominating set for unitdisk graphs (MCD-UD) has been proven to be NP-complete by Lichtenstein [13]. 8 [16]. e. the number of nodes of a connected dominating set woken up by an algorithm divided by the number of nodes of the MCDS. Proposition 1. The competitive ratio of all deterministic algorithms for WakeUp-MCD-UD is at least n2 − 12 .

The optimal solution uses wake-up calls from the start node s and the node ui connected to t. Any deterministic algorithm can be fooled to use n − 1 wake-up calls of nodes u1 , . . , un−2 such that the ﬁnal wake up call reaches t. If the connected node ui is chosen randomly, then any randomized algorithm n needs in the expectation 1 + n−2 2 = 2 calls to launch a wake-up at ui . u1 s t 1 un-2 Fig. 2. Lower bound construction with competitive ratio n/2 − 5 1 2 Algorithms While the wake-up problem can not be eﬃciently solved in general, for high node density a straight-forward grid based algorithm already achieves constant approximation ratio.

### Algorithms for Sensor Systems: 9th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2013, Sophia Antipolis, France, September 5-6, 2013, Revised Selected Papers by Magnús M. Halldórsson (auth.), Paola Flocchini, Jie Gao, Evangelos Kranakis, Friedhelm Meyer auf der Heide (eds.)

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