[{"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."}],"publication":"Proceedings of the 19th International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS)","type":"conference","department":[{"_id":"79"}],"file":[{"creator":"mfeldma2","date_created":"2018-10-31T13:30:13Z","file_name":"Feldmann-Scheideler2017_Chapter_ASelf-stabilizingGeneralDeBrui.pdf","access_level":"closed","file_size":311204,"relation":"main_file","date_updated":"2018-10-31T13:30:13Z","file_id":"5214","content_type":"application/pdf","success":1}],"date_created":"2017-10-17T12:41:16Z","date_updated":"2022-01-06T06:51:19Z","publication_status":"published","intvolume":"     10616","title":"A Self-Stabilizing General De Bruijn Graph","year":"2017","publication_identifier":{"isbn":["978-3-319-69083-4"]},"author":[{"full_name":"Feldmann, Michael","first_name":"Michael","last_name":"Feldmann","id":"23538"},{"full_name":"Scheideler, Christian","first_name":"Christian","last_name":"Scheideler","id":"20792"}],"doi":"10.1007/978-3-319-69084-1_17","series_title":"Lecture Notes in Computer Science","language":[{"iso":"eng"}],"project":[{"_id":"1","name":"SFB 901"},{"_id":"5","name":"SFB 901 - Subprojekt A1"},{"_id":"2","name":"SFB 901 - Project Area A"}],"file_date_updated":"2018-10-31T13:30:13Z","citation":{"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>","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} }","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>.","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.","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>","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."},"external_id":{"arxiv":["1708.06542"]},"has_accepted_license":"1","status":"public","ddc":["040"],"user_id":"23538","volume":10616,"page":"250-264 ","_id":"125","publisher":"Springer, Cham"}]