{"id":"https://openalex.org/W3084062941","doi":"https://doi.org/10.1007/s00446-023-00442-4","title":"Time-optimal construction of overlay networks","display_name":"Time-optimal construction of overlay networks","publication_year":2023,"publication_date":"2023-02-15","ids":{"openalex":"https://openalex.org/W3084062941","doi":"https://doi.org/10.1007/s00446-023-00442-4","mag":"3084062941"},"language":"en","primary_location":{"id":"doi:10.1007/s00446-023-00442-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-023-00442-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00446-023-00442-4.pdf","source":{"id":"https://openalex.org/S139349430","display_name":"Distributed Computing","issn_l":"0178-2770","issn":["0178-2770","1432-0452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Distributed Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00446-023-00442-4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026600778","display_name":"Thorsten G\u00f6tte","orcid":"https://orcid.org/0000-0001-9798-6993"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Thorsten G\u00f6tte","raw_affiliation_strings":["Department of Computer Science, Paderborn University, Warburger Str. 100, 33098, Paderborn, Germany","Department of Computer Science, Paderborn University, Paderborn, Germany"],"raw_orcid":"https://orcid.org/0000-0001-9798-6993","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Paderborn University, Warburger Str. 100, 33098, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"Department of Computer Science, Paderborn University, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076271633","display_name":"Kristian Hinnenthal","orcid":"https://orcid.org/0000-0001-9464-295X"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kristian Hinnenthal","raw_affiliation_strings":["Department of Computer Science, Paderborn University, Warburger Str. 100, 33098, Paderborn, Germany","Department of Computer Science, Paderborn University, Paderborn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Paderborn University, Warburger Str. 100, 33098, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"Department of Computer Science, Paderborn University, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063355098","display_name":"Christian Scheideler","orcid":"https://orcid.org/0000-0002-5278-528X"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Scheideler","raw_affiliation_strings":["Department of Computer Science, Paderborn University, Warburger Str. 100, 33098, Paderborn, Germany","Department of Computer Science, Paderborn University, Paderborn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Paderborn University, Warburger Str. 100, 33098, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"Department of Computer Science, Paderborn University, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084662645","display_name":"Julian Werthmann","orcid":"https://orcid.org/0000-0002-5110-5625"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Julian Werthmann","raw_affiliation_strings":["Department of Computer Science, Paderborn University, Warburger Str. 100, 33098, Paderborn, Germany","Department of Computer Science, Paderborn University, Paderborn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Paderborn University, Warburger Str. 100, 33098, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"Department of Computer Science, Paderborn University, Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026600778"],"corresponding_institution_ids":["https://openalex.org/I206945453"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":{"value":2490,"currency":"EUR","value_usd":3090},"fwci":1.1152,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.79887468,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"36","issue":"3","first_page":"313","last_page":"347"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991000294685364,"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/T10742","display_name":"Peer-to-Peer Network Technologies","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9984999895095825,"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/algorithm","display_name":"Algorithm","score":0.6204567551612854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5006663799285889},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32793641090393066}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6204567551612854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5006663799285889},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32793641090393066}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00446-023-00442-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-023-00442-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00446-023-00442-4.pdf","source":{"id":"https://openalex.org/S139349430","display_name":"Distributed Computing","issn_l":"0178-2770","issn":["0178-2770","1432-0452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Distributed Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00446-023-00442-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-023-00442-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00446-023-00442-4.pdf","source":{"id":"https://openalex.org/S139349430","display_name":"Distributed Computing","issn_l":"0178-2770","issn":["0178-2770","1432-0452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Distributed Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4748229160","display_name":null,"funder_award_id":"160364472","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5457134835","display_name":null,"funder_award_id":"GZ: SFB 901/3","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8026673714","display_name":null,"funder_award_id":"SFB 901","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G8290965089","display_name":null,"funder_award_id":"SFB 901/3","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320324816","display_name":"Universit\u00e4t Paderborn","ror":"https://ror.org/058kzsd48"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3084062941.pdf"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W153242498","https://openalex.org/W1559116151","https://openalex.org/W1568495775","https://openalex.org/W1666479227","https://openalex.org/W1745018828","https://openalex.org/W1821591339","https://openalex.org/W1886232660","https://openalex.org/W1938635332","https://openalex.org/W1964089073","https://openalex.org/W1964510837","https://openalex.org/W1995040285","https://openalex.org/W1999812064","https://openalex.org/W2002770250","https://openalex.org/W2011790896","https://openalex.org/W2022155283","https://openalex.org/W2039592987","https://openalex.org/W2044112344","https://openalex.org/W2072211488","https://openalex.org/W2094900885","https://openalex.org/W2100061495","https://openalex.org/W2101337120","https://openalex.org/W2107082801","https://openalex.org/W2126665244","https://openalex.org/W2155086352","https://openalex.org/W2158049821","https://openalex.org/W2165441947","https://openalex.org/W2167898414","https://openalex.org/W2206897606","https://openalex.org/W2295289557","https://openalex.org/W2466856313","https://openalex.org/W2467514673","https://openalex.org/W2488670996","https://openalex.org/W2739619775","https://openalex.org/W2788015272","https://openalex.org/W2789477538","https://openalex.org/W2885215273","https://openalex.org/W2889553241","https://openalex.org/W2900806478","https://openalex.org/W2946447957","https://openalex.org/W2952500888","https://openalex.org/W2953390354","https://openalex.org/W2959636666","https://openalex.org/W2961443933","https://openalex.org/W2963629655","https://openalex.org/W2963813153","https://openalex.org/W2964107726","https://openalex.org/W2971499307","https://openalex.org/W2993631756","https://openalex.org/W3001053786","https://openalex.org/W3008609541","https://openalex.org/W3034669632","https://openalex.org/W3041032015","https://openalex.org/W3041718935","https://openalex.org/W3043312226","https://openalex.org/W3046430097","https://openalex.org/W3046536558","https://openalex.org/W3115907785","https://openalex.org/W3117607498","https://openalex.org/W3126827766","https://openalex.org/W4250390143","https://openalex.org/W4255054927"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"article":[2],"shows":[3],"how":[4,217,297,318],"to":[5,44,155,176,223,298,319],"construct":[6],"an":[7,27,193,284,288,321],"overlay":[8],"network":[9,37],"of":[10,116,189,195,236,257,263,340],"constant":[11,71],"degree":[12,339],"and":[13,51,69,86,125,197,201,205,305],"diameter":[14],"$$O(\\log":[15,20,89,98,109,144,309,324],"n)$$":[16,21,90,99,111,145,310,329],"<mml:math":[17,22,91,100,112,146,159,311,330],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mo>log</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>":[18,23,92,101,147,312],"in":[19,38,94,97,228,234,308,323],"time":[24,102,114,313,332],"starting":[25],"from":[26],"arbitrary":[28,293],"weakly":[29,67],"connected":[30,68,300],"graph.":[31],"We":[32,167],"assume":[33,260],"a":[34,302],"synchronous":[35],"communication":[36,126,262],"which":[39,104],"nodes":[40,45,183,252],"can":[41,54,220,274],"send":[42],"messages":[43,93,273],"they":[46],"know":[47],"the":[48,62,79,106,132,182,187,190,237,249,264,337],"identifier":[49],"of,":[50],"new":[52],"connections":[53,180],"be":[55,135,221,275],"established":[56,282],"by":[57,139,171,248],"sending":[58,85],"node":[59,84,154],"identifiers.":[60],"Suppose":[61],"initial":[63,265,338],"network\u2019s":[64],"graph":[65,191,226,290],"is":[66,164,267,336],"has":[70],"degree.":[72],"In":[73],"that":[74,184,251,261,279],"case,":[75],"our":[76,162,218],"algorithm":[77,115,163,219],"constructs":[78],"desired":[80],"topology":[81],"with":[82,292],"each":[83,95,153],"receiving":[87],"only":[88,270],"round":[96],"w.h.p.,":[103,333],"beats":[105],"currently":[107],"best":[108],"^{3/2}":[110],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mo>log</mml:mo><mml:mrow><mml:mn>3</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>":[113],"G\u00f6tte":[117],"et":[118,232],"al.":[119,233],"(International":[120],"colloquium":[121],"on":[122,242],"structural":[123],"information":[124],"complexity":[127],"(SIROCCO),":[128],"Springer,":[129],"2019).":[130],"Since":[131],"problem":[133],"cannot":[134],"solved":[136],"faster":[137],"than":[138],"using":[140,172,192],"pointer":[141],"jumping":[142],"for":[143],"rounds":[148],"(which":[149],"would":[150],"even":[151],"require":[152],"communicate":[156],"$$\\Omega":[157],"(n)$$":[158],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>\u03a9</mml:mi><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>":[160],"bits),":[161],"asymptotically":[165],"optimal.":[166],"achieve":[168],"this":[169],"speedup":[170],"short":[173],"random":[174,179],"walks":[175],"repeatedly":[177],"establish":[178],"between":[181],"quickly":[185],"reduce":[186],"conductance":[188],"observation":[194],"Kwok":[196],"Lau":[198],"(Approximation,":[199],"randomization,":[200],"combinatorial":[202],"optimization.":[203],"Algorithms":[204],"techniques":[206],"(APPROX/RANDOM":[207],"2014),":[208],"Schloss":[209],"Dagstuhl-Leibniz-Zentrum":[210],"fuer":[211],"Informatik,":[212],"2014).":[213],"Additionally,":[214],"we":[215,259,295,316],"show":[216,296,317],"used":[222],"efficiently":[224],"solve":[225],"problems":[227],"hybrid":[229],"networks":[230],"(Augustine":[231],"Proceedings":[235],"fourteenth":[238],"annual":[239],"ACM-SIAM":[240],"symposium":[241],"discrete":[243],"algorithms,":[244],"SIAM,":[245],"2020).":[246],"Motivated":[247],"idea":[250],"possess":[253],"two":[254],"different":[255],"modes":[256],"communication,":[258],"edges":[266,278],"unrestricted,":[268],"whereas":[269],"polylogarithmically":[271],"many":[272],"sent":[276],"over":[277],"have":[280],"been":[281],"throughout":[283],"algorithm\u2019s":[285],"execution.":[286],"For":[287],"(undirected)":[289],"G":[291,341],"degree,":[294],"compute":[299,320],"components,":[301],"spanning":[303],"tree,":[304],"biconnected":[306],"components":[307],"w.h.p.":[314],"Furthermore,":[315],"MIS":[322],"d":[325,335],"+":[326],"\\log":[327,328],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mo>log</mml:mo><mml:mi>d</mml:mi><mml:mo>+</mml:mo><mml:mo>log</mml:mo><mml:mo>log</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>":[331],"where":[334],".":[342]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}