{"title":"Towards higher-dimensional topological self-stabilization: A distributed algorithm for Delaunay graphs","author":[{"first_name":"Riko","last_name":"Jacob","full_name":"Jacob, Riko"},{"full_name":"Ritscher, Stephan","last_name":"Ritscher","first_name":"Stephan"},{"first_name":"Christian","last_name":"Scheideler","full_name":"Scheideler, Christian","id":"20792"},{"last_name":"Schmid","first_name":"Stefan","full_name":"Schmid, Stefan"}],"citation":{"chicago":"Jacob, Riko, Stephan Ritscher, Christian Scheideler, and Stefan Schmid. “Towards Higher-Dimensional Topological Self-Stabilization: A Distributed Algorithm for Delaunay Graphs.” <i>Theoretical Computer Science</i>, 2012, 137–48. <a href=\"https://doi.org/10.1016/j.tcs.2012.07.029\">https://doi.org/10.1016/j.tcs.2012.07.029</a>.","bibtex":"@article{Jacob_Ritscher_Scheideler_Schmid_2012, title={Towards higher-dimensional topological self-stabilization: A distributed algorithm for Delaunay graphs}, DOI={<a href=\"https://doi.org/10.1016/j.tcs.2012.07.029\">10.1016/j.tcs.2012.07.029</a>}, journal={Theoretical Computer Science}, publisher={Elsevier}, author={Jacob, Riko and Ritscher, Stephan and Scheideler, Christian and Schmid, Stefan}, year={2012}, pages={137–148} }","short":"R. Jacob, S. Ritscher, C. Scheideler, S. Schmid, Theoretical Computer Science (2012) 137–148.","apa":"Jacob, R., Ritscher, S., Scheideler, C., &#38; Schmid, S. (2012). Towards higher-dimensional topological self-stabilization: A distributed algorithm for Delaunay graphs. <i>Theoretical Computer Science</i>, 137–148. <a href=\"https://doi.org/10.1016/j.tcs.2012.07.029\">https://doi.org/10.1016/j.tcs.2012.07.029</a>","ama":"Jacob R, Ritscher S, Scheideler C, Schmid S. Towards higher-dimensional topological self-stabilization: A distributed algorithm for Delaunay graphs. <i>Theoretical Computer Science</i>. 2012:137-148. doi:<a href=\"https://doi.org/10.1016/j.tcs.2012.07.029\">10.1016/j.tcs.2012.07.029</a>","ieee":"R. Jacob, S. Ritscher, C. Scheideler, and S. Schmid, “Towards higher-dimensional topological self-stabilization: A distributed algorithm for Delaunay graphs,” <i>Theoretical Computer Science</i>, pp. 137–148, 2012.","mla":"Jacob, Riko, et al. “Towards Higher-Dimensional Topological Self-Stabilization: A Distributed Algorithm for Delaunay Graphs.” <i>Theoretical Computer Science</i>, Elsevier, 2012, pp. 137–48, doi:<a href=\"https://doi.org/10.1016/j.tcs.2012.07.029\">10.1016/j.tcs.2012.07.029</a>."},"has_accepted_license":"1","publisher":"Elsevier","ddc":["040"],"file_date_updated":"2018-03-15T10:16:20Z","type":"journal_article","date_updated":"2022-01-06T07:02:36Z","year":"2012","page":"137-148","publication":"Theoretical Computer Science","file":[{"date_updated":"2018-03-15T10:16:20Z","file_id":"1272","file_size":250051,"creator":"florida","content_type":"application/pdf","file_name":"570-Delaunay-Journal.pdf","access_level":"closed","date_created":"2018-03-15T10:16:20Z","relation":"main_file","success":1}],"department":[{"_id":"79"}],"user_id":"477","abstract":[{"text":"This article studies the construction of self-stabilizing topologies for distributed systems. While recent research has focused on chain topologies where nodes need to be linearized with respect to their identiers, we explore a natural and relevant 2-dimensional generalization. In particular, we present a local self-stabilizing algorithm DStab which is based on the concept of \\local Delaunay graphs\" and which forwards temporary edges in greedy fashion reminiscent of compass routing. DStab constructs a Delaunay graph from any initial connected topology and in a distributed manner in time O(n3) in the worst-case; if the initial network contains the Delaunay graph, the convergence time is only O(n) rounds. DStab also ensures that individual node joins and leaves aect a small part of the network only. Such self-stabilizing Delaunay networks have interesting applications and our construction gives insights into the necessary geometric reasoning that is required for higherdimensional linearization problems.Keywords: Distributed Algorithms, Topology Control, Social Networks","lang":"eng"}],"date_created":"2017-10-17T12:42:43Z","project":[{"_id":"1","name":"SFB 901"},{"_id":"5","name":"SFB 901 - Subprojekt A1"},{"name":"SFB 901 - Project Area A","_id":"2"}],"status":"public","doi":"10.1016/j.tcs.2012.07.029","_id":"570"}