Print Email Facebook Twitter Fréchet distribution in geometric graphs for drone networks Title Fréchet distribution in geometric graphs for drone networks Author Raftopoulou, M. Litjens, R. van Mieghem, P. Publication year 2022 Abstract In this paper, we focus on the link density in random geometric graphs (RGGs) with a distance-based connection function. After deriving the link density in D dimensions, we focus on the two-dimensional (2D) and three-dimensional (3D) space and show that the link density is accurately approximated by the Fréchet distribution, for any rectangular space. We derive expressions, in terms of the link density, for the minimum number of nodes needed in the 2D and 3D spaces to ensure network connectivity. These results provide first-order estimates for, e.g., a swarm of drones to provide coverage in a disaster or crowded area. Subject 2-D spaceConnection functionD dimensionsDistance-basedFrechet distributionGeometric graphsLink densityRandom geometric graphsThree-dimensional (3D) spaceTwo-dimensional To reference this document use: http://resolver.tudelft.nl/uuid:957e5bed-4dba-4f9e-8854-3c8f11ebb77a TNO identifier 976096 Publisher American Physical Society ISSN 2470-0045 Source Physical Review E, 106 (106) Document type article Files To receive the publication files, please send an e-mail request to TNO Library.