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Chapter and Conference Paper
Morelia Test: Improving the Efficiency of the Gabriel Test and Face Routing in Ad-Hoc Networks
An important technique for discovering routes between two nodes in an ad-hoc network involves applying the face routing algorithm on a planar spanner of the network. Face routing guarantees message delivery in...
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Chapter and Conference Paper
Two-Hop Virtual Path Layout in Tori
We consider the problem of D-hop virtual path layout in ATM (Asynchronous Transfer Mode) networks. Given a physical network and an all-to-all traffic pattern, the problem consists of designing a virtual network w...
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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
Local Edge Colouring of Yao-Like Subgraphs of Unit Disk Graphs
The focus of the present paper is on providing a local deterministic algorithm for colouring the edges of Yao-like subgraphs of Unit Disc Graphs. These are geometric graphs such that for some positive integers l,
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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
Complexity of Barrier Coverage with Relocatable Sensors in the Plane
We consider several variations of the problems of covering a set of barriers (modeled as line segments) using sensors that can detect any intruder crossing any of the barriers. Sensors are initially located in...
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Chapter and Conference Paper
Distributed Barrier Coverage with Relocatable Sensors
A wireless sensor can detect the presence of an intruder in its sensing range, and is said to cover the portion of a given barrier that intersects with its sensing range. Barrier coverage is achieved by a set ...
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Chapter and Conference Paper
Linear Search with Terrain-Dependent Speeds
We revisit the linear search problem where a robot, initially placed at the origin on an infinite line, tries to locate a stationary target placed at an unknown position on the line. Unlike previous studies, in w...
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Chapter and Conference Paper
Weak Coverage of a Rectangular Barrier
Assume n wireless mobile sensors are initially dispersed in an ad hoc manner in a rectangular region. They are required to move to final locations so that they can detect any intruder crossing the region in a dir...
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Chapter and Conference Paper
Satisfying Neighbor Preferences on a Circle
We study the problem of satisfying seating preferences on a circle. We assume we are given a collection of n agents to be arranged on a circle. Each agent is colored either blue or red, and there are exactly b bl...
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Chapter and Conference Paper
Priority Evacuation from a Disk Using Mobile Robots
We introduce and study a new search-type problem with ( \(n+1\) )-robots on a disk. The searchers (robots) al...
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Chapter and Conference Paper
Time-Energy Tradeoffs for Evacuation by Two Robots in the Wireless Model
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Chapter and Conference Paper
Distributed Pattern Formation in a Ring
Motivated by concerns about diversity in social networks, we consider the following pattern formation problems in rings
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Chapter and Conference Paper
The Bike Sharing Problem
Assume that \(m \ge 1\) m ≥