{"publication_status":"published","ddc":["040"],"page":"250-264 ","file":[{"content_type":"application/pdf","access_level":"closed","relation":"main_file","date_updated":"2018-10-31T13:30:13Z","date_created":"2018-10-31T13:30:13Z","file_size":311204,"creator":"mfeldma2","success":1,"file_id":"5214","file_name":"Feldmann-Scheideler2017_Chapter_ASelf-stabilizingGeneralDeBrui.pdf"}],"doi":"10.1007/978-3-319-69084-1_17","abstract":[{"lang":"eng","text":"Searching for other participants is one of the most important operations in a distributed system.We are interested in topologies in which it is possible to route a packet in a fixed number of hops until it arrives at its destination.Given a constant $d$, this paper introduces a new self-stabilizing protocol for the $q$-ary $d$-dimensional de Bruijn graph ($q = \\sqrt[d]{n}$) that is able to route any search request in at most $d$ hops w.h.p., while significantly lowering the node degree compared to the clique: We require nodes to have a degree of $\\mathcal O(\\sqrt[d]{n})$, which is asymptotically optimal for a fixed diameter $d$.The protocol keeps the expected amount of edge redirections per node in $\\mathcal O(\\sqrt[d]{n})$, when the number of nodes in the system increases by factor $2^d$.The number of messages that are periodically sent out by nodes is constant."}],"project":[{"name":"SFB 901","_id":"1"},{"name":"SFB 901 - Subprojekt A1","_id":"5"},{"_id":"2","name":"SFB 901 - Project Area A"}],"has_accepted_license":"1","date_created":"2017-10-17T12:41:16Z","file_date_updated":"2018-10-31T13:30:13Z","language":[{"iso":"eng"}],"publication":"Proceedings of the 19th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS)","type":"conference","date_updated":"2022-01-06T06:51:19Z","series_title":"Lecture Notes in Computer Science","author":[{"first_name":"Michael","full_name":"Feldmann, Michael","id":"23538","last_name":"Feldmann"},{"first_name":"Christian","last_name":"Scheideler","id":"20792","full_name":"Scheideler, Christian"}],"publisher":"Springer, Cham","year":"2017","intvolume":"     10616","status":"public","citation":{"chicago":"Feldmann, Michael, and Christian Scheideler. “A Self-Stabilizing General De Bruijn Graph.” In <i>Proceedings of the 19th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS)</i>, 10616:250–64. Lecture Notes in Computer Science. Springer, Cham, 2017. <a href=\"https://doi.org/10.1007/978-3-319-69084-1_17\">https://doi.org/10.1007/978-3-319-69084-1_17</a>.","short":"M. Feldmann, C. Scheideler, in: Proceedings of the 19th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS), Springer, Cham, 2017, pp. 250–264.","bibtex":"@inproceedings{Feldmann_Scheideler_2017, series={Lecture Notes in Computer Science}, title={A Self-Stabilizing General De Bruijn Graph}, volume={10616}, DOI={<a href=\"https://doi.org/10.1007/978-3-319-69084-1_17\">10.1007/978-3-319-69084-1_17</a>}, booktitle={Proceedings of the 19th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS)}, publisher={Springer, Cham}, author={Feldmann, Michael and Scheideler, Christian}, year={2017}, pages={250–264}, collection={Lecture Notes in Computer Science} }","apa":"Feldmann, M., &#38; Scheideler, C. (2017). A Self-Stabilizing General De Bruijn Graph. In <i>Proceedings of the 19th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS)</i> (Vol. 10616, pp. 250–264). Springer, Cham. <a href=\"https://doi.org/10.1007/978-3-319-69084-1_17\">https://doi.org/10.1007/978-3-319-69084-1_17</a>","ama":"Feldmann M, Scheideler C. A Self-Stabilizing General De Bruijn Graph. In: <i>Proceedings of the 19th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS)</i>. Vol 10616. Lecture Notes in Computer Science. Springer, Cham; 2017:250-264. doi:<a href=\"https://doi.org/10.1007/978-3-319-69084-1_17\">10.1007/978-3-319-69084-1_17</a>","mla":"Feldmann, Michael, and Christian Scheideler. “A Self-Stabilizing General De Bruijn Graph.” <i>Proceedings of the 19th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS)</i>, vol. 10616, Springer, Cham, 2017, pp. 250–64, doi:<a href=\"https://doi.org/10.1007/978-3-319-69084-1_17\">10.1007/978-3-319-69084-1_17</a>.","ieee":"M. Feldmann and C. Scheideler, “A Self-Stabilizing General De Bruijn Graph,” in <i>Proceedings of the 19th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS)</i>, 2017, vol. 10616, pp. 250–264."},"user_id":"23538","external_id":{"arxiv":["1708.06542"]},"volume":10616,"department":[{"_id":"79"}],"publication_identifier":{"isbn":["978-3-319-69083-4"]},"_id":"125","title":"A Self-Stabilizing General De Bruijn Graph"}