By Mirosław Kutyłowski (auth.), Mirosław Kutyłowski, Jacek Cichoń, Przemysław Kubiak (eds.)
This e-book constitutes the reviewed lawsuits of the 3rd foreign Workshop on Algorithmic elements of instant Sensor Networks, ALGOSENSORS 2007, held in Wroclaw, Poland, July 14, 2007, in organization with ICALP 2007.
The eleven revised complete papers awarded including 2 invited talks have been rigorously reviewed and chosen from 26 submissions; they're totally revised to include reviewers' reviews and discussions on the workshop. subject matters addressed are foundational and algorithmic points of the instant sensor networks examine. specifically, ALGOSENSORS makes a speciality of summary versions, complexity-theoretic effects and lower-bounds, in addition to the layout and research of algorithms for instant sensor networks.
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Additional info for Algorithmic Aspects of Wireless Sensor Networks: Third International Workshop, ALGOSENSORS 2007, Wroclaw, Poland, July 14, 2007, Revised Selected Papers
Our robot has all the capabilities of the robot described there, therefore the robot can ﬁrst compute the navigation instructions, which are then stored in the robot’s memory. Alternatively, we can use an additional, globally distinguishable pebble and perform the vertex navigation on the ﬂy. Theorem 2. In the friendly environment a robot with two pebbles can count the targets in any polygon in polynomially many steps and with polynomial memory. 3 Hostile Environment After solving the counting problem in the scenario where robots can walk to targets, we consider now the scenario where robots walk only on vertices of P .
N, and vertices yi−1 and yi . The aim is to place the targets in a way that a robot sitting at vertex y2l+1 sees one target (the piv is (0, 1, 0)), and a robot sitting at vertex y2l sees 2 targets (the piv is (0, 1, 1, 0)). For a robot at vertex xi , i = 1, . . , we want the piv to be (0, 1, 0, 1, 0, 1, . . , 0, 1, 0). Observe that the consecutive vertices of piv at vertex xi are yi , xi+1 , . . , xn , x1 , . . , xi−1 , yi−1 . We show how to achieve such visibility with two diﬀerent number of targets.
Counting Targets with Mobile Sensors 37 Theorem 1. In the friendly environment a robot with two pebbles can count the targets in a simply-connected polygon in O(mn2 ) steps and with O(1) memory, or in O(mn) steps and with O(nm) memory. The result can be easily extended to polygons with holes (multiply-connected polygons), if we can navigate through the vertices in a consistent way. In , a navigation in an arbitrary multiply connected polygon was demonstrated with a robot with one pebble in a polynomial number of steps and with polynomial space.
Algorithmic Aspects of Wireless Sensor Networks: Third International Workshop, ALGOSENSORS 2007, Wroclaw, Poland, July 14, 2007, Revised Selected Papers by Mirosław Kutyłowski (auth.), Mirosław Kutyłowski, Jacek Cichoń, Przemysław Kubiak (eds.)