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Chapter and Conference Paper
Survivability of Swarms of Bouncing Robots
Bouncing robots are mobile agents with limited sensing capabilities adjusting their movements upon collisions either with other robots or obstacles in the environment. They behave like elastic particles slidin...
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Chapter and Conference Paper
Optimal Sensor Networks for Area Monitoring Using Rotating and Beam Sensors
We consider the problem of monitoring the Euclidean plane using rotating sensors with detection sectors and beam sensors. We assume that intruders can appear anywhere at any time and move arbitrarily fast, and...
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Chapter and Conference Paper
Approximating the Edge Length of 2-Edge Connected Planar Geometric Graphs on a Set of Points
Given a set P of n points in the plane, we solve the problems of constructing a geometric planar graph spanning P 1) of minimum degree 2, and 2) which is 2-edge connected, respectively, and has max edge length bo...
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Chapter and Conference Paper
Robust Sensor Range for Constructing Strongly Connected Spanning Digraphs in UDGs
We study the following problem: Given a set of points in the plane and a positive integer k > 0, construct a geometric strongly connected spanning digraph of out-degree at most k and whose longest edge length is ...
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Chapter and Conference Paper
Local Construction of Planar Spanners in Unit Disk Graphs with Irregular Transmission Ranges
We give an algorithm for constructing a connected spanning subgraphs(panner) of a wireless network modelled as a unit disk graph with nodes of irregular transmission ranges, whereby for some parameter 0 < r ≤ 1 t...
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Chapter and Conference Paper
Mobile Search for a Black Hole in an Anonymous Ring
We address the problem of mobile agents searching a ring network for a highly harmful item, a black hole, a stationary process destroying visiting agents upon their arrival.No observable trace of such a destructi...
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Chapter and Conference Paper
Two Broadcasting Problems in FaultyHypercubes
We consider two broadcasting problems in the n-dimensional hypercube under the shouting communication mode, i.e. any node of a network can inform all its neighbours in one time step. In addition, during any ti...