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Schröer, <i>Wünsche von Mädchen und Jungen zur Gestaltung des Mathematikunterrichts - Eine explorative Studie</i>. .","chicago":"Schröer, Franz. <i>Wünsche von Mädchen und Jungen zur Gestaltung des Mathematikunterrichts - Eine explorative Studie</i>, n.d.","apa":"Schröer, F. (n.d.). <i>Wünsche von Mädchen und Jungen zur Gestaltung des Mathematikunterrichts - Eine explorative Studie</i>.","mla":"Schröer, Franz. <i>Wünsche von Mädchen und Jungen zur Gestaltung des Mathematikunterrichts - Eine explorative Studie</i>.","short":"F. 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Special attention is paid to the strong limitation of robot capabilities. These include in particular the lack of global control, a global compass, global visibility and (global) communication skills. Furthermore, all robots are identical. The robots are given only local abilities. This includes a constant range of vision. The robots all work completely synchronously. In this work we present and analyze three different Gathering strategies in different robot models. We formally prove correctness and total running time: Chapter 4 focuses on minimizing the available robot capabilities. The underlying strategy completes the gathering in O(n^2) time. For the following Chapters 5 and 6, the aim is to optimize the total running time under using only local robot capabilities: We additionally allow a constant-sized memory and a constant number of locally visible statuses (lights, flags). For the strategies of both chapters we show an asymptotically optimal running time of O(n). Unlike in Chapters 4 and 5, we additionally restrict connectivity and vision to an initially given chain connectivity in Chapter 6, where two chain neighbors must have a distance of 1 from each other. A robot can only see and interact with a constant number of its direct chain neighbors.","lang":"eng"}],"status":"public","type":"dissertation","language":[{"iso":"eng"}],"_id":"1209","project":[{"grant_number":"160364472","name":"SFB 901","_id":"1"},{"name":"SFB 901 - Project Area A","_id":"2"},{"grant_number":"160364472","name":"SFB 901 - Subproject A1","_id":"5"}],"department":[{"_id":"63"},{"_id":"26"}],"user_id":"1112","year":"2018","citation":{"chicago":"Jung, Daniel. <i>Local Strategies for Swarm Formations on a Grid</i>. Universität Paderborn, 2018. <a href=\"https://doi.org/10.17619/UNIPB/1-271\">https://doi.org/10.17619/UNIPB/1-271</a>.","ieee":"D. Jung, <i>Local Strategies for Swarm Formations on a Grid</i>. 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