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Linear and Competitive Strategies for Continuous Robot Formation Problems. <i>ACM Transactions on Parallel Computing</i>, 1–18. <a href=\"https://doi.org/10.1145/2742341\">https://doi.org/10.1145/2742341</a>","chicago":"Degener, Bastian, Barbara Kempkes, Peter Kling, and Friedhelm Meyer auf der Heide. “Linear and Competitive Strategies for Continuous Robot Formation Problems.” <i>ACM Transactions on Parallel Computing</i>, 2015, 1–18. <a href=\"https://doi.org/10.1145/2742341\">https://doi.org/10.1145/2742341</a>.","short":"B. Degener, B. Kempkes, P. Kling, F. 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The robots only have local knowledge about a constant number of\r\nneighboring robots along the chain in both directions. Actions are performed in\r\nthe fully synchronous time model FSYNC. Every robot has a limited memory that\r\nmay contain one timestamp of the global clock, also visible to its direct\r\nneighbors. In this synchronous time model, there is no limited view gathering\r\nalgorithm known to perform better than in quadratic runtime. The configurations\r\nthat show the quadratic lower bound are closed chains. In this paper, we\r\npresent the first sub-quadratic---in fact linear time---gathering algorithm for\r\nclosed chains on a grid."}],"publication":"ArXiv: 1501.04877","citation":{"ama":"Abshoff S, Andreas Cord-Landwehr A, Jung D, Meyer auf der Heide F. Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain Case. <i>ArXiv: 150104877</i>. 2015.","bibtex":"@article{Abshoff_Andreas Cord-Landwehr_Jung_Meyer auf der Heide_2015, title={Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain Case}, journal={ArXiv: 1501.04877}, author={Abshoff, Sebastian and Andreas Cord-Landwehr, Andreas and Jung, Daniel and Meyer auf der Heide, Friedhelm}, year={2015} }","mla":"Abshoff, Sebastian, et al. “Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain Case.” <i>ArXiv: 1501.04877</i>, 2015.","chicago":"Abshoff, Sebastian, Andreas Andreas Cord-Landwehr, Daniel Jung, and Friedhelm Meyer auf der Heide. “Towards Gathering Robots with Limited View in Linear Time: The Closed  Chain Case.” <i>ArXiv: 1501.04877</i>, 2015.","short":"S. Abshoff, A. Andreas Cord-Landwehr, D. Jung, F. 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