By Erik D. Demain (auth.), Shlomi Dolev (eds.)

ISBN-10: 364205434X

ISBN-13: 9783642054341

This publication constitutes the reviewed court cases of the fifth overseas Workshop on Algorithmic facets of instant Sensor Networks, ALGOSENSORS 2009, held in Rhodes, Greece, July 10-11, 2009.

The 21 complete papers and short bulletins have been rigorously chosen from forty-one submissions. This workshops aimed toward bringing jointly study contributions with regards to diversified algorithmic and complexity-theoretic points of instant sensor networks. the subjects contain yet are usually not restricted to optimization difficulties, noise and chance, robots and tours.

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Consider the highest point a of π between these two crossings. We can place a unit disk A tangent to π at a. π cannot cross the top arc of A without crossing the horizontal line through the center of A. Then the top arc of A acts as a Approximating Barrier Resilience in Wireless Sensor Networks a D D1 D2 D 37 A D1 D2 p Fig. 4. The top arc of D (bold) is an obstacle barrier for π . Any way of placing of that barrier must intersect either D1 , D2 or the top arc of D. Consequently it is impossible either to reach a from the first crossing point or continue from a to the second crossing point.

3 Relating Resilience and Thickness for Unit Disk Sensors In this section we establish a close connection between resilience and thickness for arrangements of disk sensors by proving that minimum (Euclidean) length paths, among all s, t paths that intersect at most k sensors, have the property that they intersect any fixed sensor at most a small constant number of times. The intuition behind the result is quite straightforward: (i) if a path π visits some disk D too many times then there must exist a shortcut; (ii) the absence 34 S.

Low-power asynchronous neighbors discovery, has already been known in the literature [31,42,41,12]. , to minimize the radio use for both 2 For the proofs of all subsequent theorems, lemmas, and claims, see the full version [8]. 22 M. Bradonji´c, E. Kohler, and R. Ostrovsky transmitting and receiving. , in the previously cited papers, vary from the birthday paradox in [31], block-design in [42], the quorum based protocol in [41] to an adaption of Chinese reminder theorem [20] in [12]. In our work, we firstly generalize the birthday paradox, obtaining the Two Color Birthday Problem (see Lemma 1).

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Algorithmic Aspects of Wireless Sensor Networks: 5th International Workshop, ALGOSENSORS 2009, Rhodes, Greece, July 10-11, 2009. Revised Selected Papers by Erik D. Demain (auth.), Shlomi Dolev (eds.)

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