{"id":{"repo_id":"unlv","oai_identifier":"oai:oasis.library.unlv.edu:rtds-2269"},"canonical_url":"https://search.dev.ndltd.org/etd/unlv/oai:oasis.library.unlv.edu:rtds-2269","repository":{"repo_id":"unlv","name":"University of Nevada - Las Vegas","base_url":"https://oasis.library.unlv.edu/do/oai/"},"display":{"title":"A self-stabilizing interval routing scheme in general networks","abstract":"The Pivot Interval Routing (PIR) scheme [EGP98] divides the nodes in the network into pivots and clients of the pivots. A pivot acts as a center for the partition of the network formed by its clients. Each node can send messages directly only to a small subset of vertices in its nearby vicinity or to the pivots; An algorithm is called self-stabilizing [Dij74] if, starting from an arbitrary initial state, it is guaranteed to reach a correct state in finite time and with no exterior help. In this thesis, we present a self-stabilizing PIR algorithm. The algorithm starts with no knowledge of the network architecture and, eventually, each node builds its own routing table of size O(n1/2log3/2 n + Deltaupsilon, log n) bits with a total of O(n3/2 log3/2 n) bits. The stabilization time of the algorithm is O&parl0;dn1+logn &parr0; time units, where n is the number of nodes and d is the diameter of the network. (Abstract shortened by UMI.).","abstract_html":"The Pivot Interval Routing (PIR) scheme [EGP98] divides the nodes in the network into pivots and clients of the pivots. A pivot acts as a center for the partition of the network formed by its clients. Each node can send messages directly only to a small subset of vertices in its nearby vicinity or to the pivots; An algorithm is called self-stabilizing [Dij74] if, starting from an arbitrary initial state, it is guaranteed to reach a correct state in finite time and with no exterior help. In this thesis, we present a self-stabilizing PIR algorithm. The algorithm starts with no knowledge of the network architecture and, eventually, each node builds its own routing table of size O(n1/2log3/2 n + Deltaupsilon, log n) bits with a total of O(n3/2 log3/2 n) bits. The stabilization time of the algorithm is O&amp;parl0;dn1+logn &amp;parr0; time units, where n is the number of nodes and d is the diameter of the network. (Abstract shortened by UMI.).","abstract_has_math":false,"creators":["Bein, Doina"],"institution":"University of Nevada, Las Vegas","degree_name":"Master of Science (MS)","degree_level":"Thesis","degree_discipline":"Computer Science","degree_department":null,"school":null,"contributors":["Ajoy Kumar Datta"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2001,"date_issued":"2001-01-01T08:00:00Z","date_published":"2001-01-01T08:00:00Z","updated_at":"2026-07-24T05:25:18Z","subjects":[],"languages":["English"],"rights":["IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["https://oasis.library.unlv.edu/rtds/1270"],"render_values":[{"text":"https://oasis.library.unlv.edu/rtds/1270","href":"https://oasis.library.unlv.edu/rtds/1270","code":true}]}]},"links":{"outbound_url":"https://doi.org/10.25669/s6w4-emmp","outbound_label":"DOI","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Ajoy Kumar Datta"]},{"key":"dc:creator","label":"Author","values":["Bein, Doina"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["University of Nevada, Las Vegas"]},{"key":"dc:type","label":"Dc Type","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Computer Science"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science (MS)"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:rights","label":"Dc Rights","values":["IN COPYRIGHT. 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In this thesis, we present a self-stabilizing PIR algorithm. The algorithm starts with no knowledge of the network architecture and, eventually, each node builds its own routing table of size O(n1/2log3/2 n + Deltaupsilon, log n) bits with a total of O(n3/2 log3/2 n) bits. The stabilization time of the algorithm is O&parl0;dn1+logn &parr0; time units, where n is the number of nodes and d is the diameter of the network. (Abstract shortened by UMI.)."]},{"key":"dc:format","label":"Dc Format","values":["pdf"]},{"key":"dc:title","label":"Title","values":["A self-stabilizing interval routing scheme in general networks"]}]}],"canonical_facts":{"dc:contributor":["Ajoy Kumar Datta"],"dc:creator":["Bein, Doina"],"dc:description.abstract":["The Pivot Interval Routing (PIR) scheme [EGP98] divides the nodes in the network into pivots and clients of the pivots. A pivot acts as a center for the partition of the network formed by its clients. Each node can send messages directly only to a small subset of vertices in its nearby vicinity or to the pivots; An algorithm is called self-stabilizing [Dij74] if, starting from an arbitrary initial state, it is guaranteed to reach a correct state in finite time and with no exterior help. In this thesis, we present a self-stabilizing PIR algorithm. The algorithm starts with no knowledge of the network architecture and, eventually, each node builds its own routing table of size O(n1/2log3/2 n + Deltaupsilon, log n) bits with a total of O(n3/2 log3/2 n) bits. The stabilization time of the algorithm is O&parl0;dn1+logn &parr0; time units, where n is the number of nodes and d is the diameter of the network. (Abstract shortened by UMI.)."],"dc:format":["pdf"],"dc:identifier":["10.25669/s6w4-emmp","https://oasis.library.unlv.edu/rtds/1270","https://oasis.library.unlv.edu/context/rtds/article/2269/viewcontent/uc.pdf"],"dc:language":["English"],"dc:publisher":["University of Nevada, Las Vegas"],"dc:rights":["IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["A self-stabilizing interval routing scheme in general networks"],"dc:type":["Text"],"thesis:degree_discipline":["Computer Science"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Master of Science (MS)"]},"updated_at":"2026-07-24T05:25:18Z"}