{"id":"https://openalex.org/W153247398","doi":"https://doi.org/10.1007/1-4020-8141-3_21","title":"An O(n log2 n) Algorithm for a Sink Location Problem in Dynamic Tree Networks","display_name":"An O(n log2 n) Algorithm for a Sink Location Problem in Dynamic Tree Networks","publication_year":2006,"publication_date":"2006-02-21","ids":{"openalex":"https://openalex.org/W153247398","doi":"https://doi.org/10.1007/1-4020-8141-3_21","mag":"153247398"},"language":"en","primary_location":{"id":"doi:10.1007/1-4020-8141-3_21","is_oa":true,"landing_page_url":"https://doi.org/10.1007/1-4020-8141-3_21","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F1-4020-8141-3_21.pdf","source":{"id":"https://openalex.org/S4306463519","display_name":"Kluwer Academic Publishers eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F1-4020-8141-3_21.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084992462","display_name":"Satoko Mamada","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Satoko Mamada","raw_affiliation_strings":["Division of Mathematical Science for Social System, Graduate School of Engineering Science, Osaka University, Japan","Osaka University"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Science for Social System, Graduate School of Engineering Science, Osaka University, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Osaka University","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076101253","display_name":"Takeaki Uno","orcid":"https://orcid.org/0000-0001-7274-279X"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takeaki Uno","raw_affiliation_strings":["Foundations of Informatics Research Division, National Institute of Informatics, Japan","National Institute of Informatics,"],"affiliations":[{"raw_affiliation_string":"Foundations of Informatics Research Division, National Institute of Informatics, Japan","institution_ids":["https://openalex.org/I184597095"]},{"raw_affiliation_string":"National Institute of Informatics,","institution_ids":["https://openalex.org/I184597095"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110768204","display_name":"Kazuhisa Makino","orcid":"https://orcid.org/0009-0000-9771-4955"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuhisa Makino","raw_affiliation_strings":["Division of Mathematical Science for Social System, Graduate School of Engineering Science, Osaka University, Japan","Osaka University"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Science for Social System, Graduate School of Engineering Science, Osaka University, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Osaka University","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029492521","display_name":"Satoru Fujishige","orcid":"https://orcid.org/0000-0002-0950-4278"},"institutions":[{"id":"https://openalex.org/I4210129581","display_name":"Kyoto University of Education","ror":"https://ror.org/03zhhr656","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210129581"]},{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Satoru Fujishige","raw_affiliation_strings":["Research Institute for Mathematical Sciences, Kyoto University, Japan","Kyoto univ"],"affiliations":[{"raw_affiliation_string":"Research Institute for Mathematical Sciences, Kyoto University, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Kyoto univ","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4210129581"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5084992462"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":0.396,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.50149076,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"251","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sink","display_name":"Sink (geography)","score":0.6511304378509521},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.5864543914794922},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5661487579345703},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5625820755958557},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4474866986274719},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44037291407585144},{"id":"https://openalex.org/keywords/transit-time","display_name":"Transit time","score":0.43327391147613525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43240320682525635},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4239952564239502},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4218844175338745},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4137038290500641},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3831912875175476},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32639554142951965},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09821951389312744},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.09456747770309448}],"concepts":[{"id":"https://openalex.org/C143050476","wikidata":"https://www.wikidata.org/wiki/Q194502","display_name":"Sink (geography)","level":2,"score":0.6511304378509521},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.5864543914794922},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5661487579345703},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5625820755958557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4474866986274719},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44037291407585144},{"id":"https://openalex.org/C3018129524","wikidata":"https://www.wikidata.org/wiki/Q7834377","display_name":"Transit time","level":2,"score":0.43327391147613525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43240320682525635},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4239952564239502},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4218844175338745},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4137038290500641},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3831912875175476},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32639554142951965},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09821951389312744},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.09456747770309448},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C22212356","wikidata":"https://www.wikidata.org/wiki/Q775325","display_name":"Transport engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/1-4020-8141-3_21","is_oa":true,"landing_page_url":"https://doi.org/10.1007/1-4020-8141-3_21","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F1-4020-8141-3_21.pdf","source":{"id":"https://openalex.org/S4306463519","display_name":"Kluwer Academic Publishers eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.600.6270","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.600.6270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://wwwmayr.in.tum.de/konferenzen/WCC2004-TCS/papers/mamada.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/1-4020-8141-3_21","is_oa":true,"landing_page_url":"https://doi.org/10.1007/1-4020-8141-3_21","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F1-4020-8141-3_21.pdf","source":{"id":"https://openalex.org/S4306463519","display_name":"Kluwer Academic Publishers eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W153247398.pdf","grobid_xml":"https://content.openalex.org/works/W153247398.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W425252804","https://openalex.org/W1508091901","https://openalex.org/W2035575256","https://openalex.org/W2039657689","https://openalex.org/W2060179276","https://openalex.org/W2076171427","https://openalex.org/W2097414563","https://openalex.org/W2119098384","https://openalex.org/W2128059732","https://openalex.org/W2170193147","https://openalex.org/W2502642442","https://openalex.org/W2606195968","https://openalex.org/W3145710406"],"related_works":["https://openalex.org/W4377371889","https://openalex.org/W4389362338","https://openalex.org/W2113623403","https://openalex.org/W2055932080","https://openalex.org/W1968512104","https://openalex.org/W2565109825","https://openalex.org/W1862126075","https://openalex.org/W78560857","https://openalex.org/W2521054645","https://openalex.org/W2887154986"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,50,105],"consider":[4],"a":[5,9,15,26,39,43,78,103,123,127,131],"sink":[6,44,74],"location":[7,75],"in":[8,45,77,91,116],"dynamic":[10,27,79],"network":[11,28,47,80,125],"which":[12,151],"consists":[13],"of":[14,81,89,146,154],"graph":[16],"with":[17,29,148],"capacities":[18],"and":[19,129],"transit":[20],"times":[21],"on":[22,138],"its":[23],"arcs.":[24],"Given":[25],"initial":[30,55],"supplies":[31,56],"at":[32],"vertices,":[33],"the":[34,46,54,73,87,92,97,109],"problem":[35,76,112],"is":[36,86,126],"to":[37,57],"find":[38],"vertex":[40],"\u03c5":[41,58],"as":[42,59,61],"such":[48],"that":[49,108],"can":[51,113],"send":[52],"all":[53],"quickly":[60],"possible.":[62],"We":[63],"present":[64],"an":[65],"O(n":[66,99,117],"log":[67,118],"2":[68,119],"n)":[69,120],"time":[70,121],"algorithm":[71],"for":[72,141],"tree":[82,128],"structure,":[83],"where":[84],"n":[85],"number":[88],"vertices":[90],"network.":[93],"This":[94],"improves":[95],"upon":[96],"existing":[98],"2)-time":[100],"bound.":[101],"As":[102],"corollary,":[104],"also":[106],"show":[107],"quickest":[110],"transshipment":[111],"be":[114,153],"solved":[115],"if":[122],"given":[124],"has":[130],"single":[132],"sink.":[133],"Our":[134],"results":[135],"are":[136],"based":[137],"data":[139],"structures":[140],"representing":[142],"tables":[143],"(i.e.,":[144],"set":[145],"intervals":[147],"their":[149],"height),":[150],"may":[152],"independent":[155],"interest.":[156]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}