{"id":"https://openalex.org/W2130608828","doi":"https://doi.org/10.37236/191","title":"Tight Bounds for Quasirandom Rumor Spreading","display_name":"Tight Bounds for Quasirandom Rumor Spreading","publication_year":2009,"publication_date":"2009-08-07","ids":{"openalex":"https://openalex.org/W2130608828","doi":"https://doi.org/10.37236/191","mag":"2130608828"},"language":"en","primary_location":{"id":"doi:10.37236/191","is_oa":true,"landing_page_url":"https://doi.org/10.37236/191","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r102/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r102/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107303715","display_name":"Spyros Angelopoulos","orcid":"https://orcid.org/0000-0001-9819-9158"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Spyros Angelopoulos","raw_affiliation_strings":["Max-Planck-Institut fr Informatik, 66123 Saarbrcken, Germany","Algorithms and Complexity, MPI for Informatics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut fr Informatik, 66123 Saarbrcken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Algorithms and Complexity, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040561209","display_name":"Carola Doerr","orcid":"https://orcid.org/0000-0002-4981-3227"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Benjamin Doerr","raw_affiliation_strings":["Max-Planck-Institut fr Informatik, 66123 Saarbrcken, Germany","Algorithms and Complexity, MPI for Informatics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut fr Informatik, 66123 Saarbrcken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Algorithms and Complexity, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025329493","display_name":"Anna Huber","orcid":"https://orcid.org/0000-0002-3667-095X"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anna Huber","raw_affiliation_strings":["Max-Planck-Institut fr Informatik, 66123 Saarbrcken, Germany","Algorithms and Complexity, MPI for Informatics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut fr Informatik, 66123 Saarbrcken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Algorithms and Complexity, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075970062","display_name":"\u039a\u03c9\u03bd\u03c3\u03c4\u03b1\u03bd\u03c4\u03af\u03bd\u03bf\u03c2 \u03a0\u03b1\u03bd\u03b1\u03b3\u03b9\u03ce\u03c4\u03bf\u03c5","orcid":"https://orcid.org/0000-0002-9258-6082"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Konstantinos Panagiotou","raw_affiliation_strings":["Max-Planck-Institut fr Informatik, 66123 Saarbrcken, Germany","Algorithms and Complexity, MPI for Informatics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut fr Informatik, 66123 Saarbrcken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Algorithms and Complexity, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4931,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.9605282,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"16","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9891999959945679,"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9778000116348267,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/combinatorics","display_name":"Combinatorics","score":0.7058877944946289},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5625736117362976},{"id":"https://openalex.org/keywords/gossip","display_name":"Gossip","score":0.5504903197288513},{"id":"https://openalex.org/keywords/rumor","display_name":"Rumor","score":0.5231643915176392},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5119174718856812},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.499805212020874},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48924779891967773},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.4433026909828186},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43550363183021545},{"id":"https://openalex.org/keywords/broadcasting","display_name":"Broadcasting (networking)","score":0.4336254298686981},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.42146626114845276},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3943663239479065},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.20370185375213623},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.20098158717155457},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16275683045387268},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.1332058310508728},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.0983961820602417},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.09577423334121704},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.08418196439743042}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7058877944946289},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5625736117362976},{"id":"https://openalex.org/C62989814","wikidata":"https://www.wikidata.org/wiki/Q854648","display_name":"Gossip","level":2,"score":0.5504903197288513},{"id":"https://openalex.org/C2780469804","wikidata":"https://www.wikidata.org/wiki/Q878352","display_name":"Rumor","level":2,"score":0.5231643915176392},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5119174718856812},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.499805212020874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48924779891967773},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.4433026909828186},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43550363183021545},{"id":"https://openalex.org/C110157686","wikidata":"https://www.wikidata.org/wiki/Q922122","display_name":"Broadcasting (networking)","level":2,"score":0.4336254298686981},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.42146626114845276},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3943663239479065},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.20370185375213623},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.20098158717155457},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16275683045387268},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.1332058310508728},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0983961820602417},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.09577423334121704},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.08418196439743042},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37236/191","is_oa":true,"landing_page_url":"https://doi.org/10.37236/191","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r102/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.157.493","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.157.493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mpi-inf.mpg.de/~sangelop/Papers/rumor-combinatorics.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-02986751v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02986751","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Electronic Journal of Combinatorics, 2009, 16 (1), pp.R102. ⟨10.37236/191⟩","raw_type":"Journal articles"},{"id":"pmh:oai:edoc.mpg.de:518251","is_oa":false,"landing_page_url":"http://edoc.mpg.de/518251","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Electronic Journal of Combinatorics, v.16 (2009)","raw_type":"Article"},{"id":"pmh:oai:pure.mpg.de:item_1324184","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-000F-18E2-D","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.37236/191","is_oa":true,"landing_page_url":"https://doi.org/10.37236/191","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r102/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6299999952316284,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2130608828.pdf","grobid_xml":"https://content.openalex.org/works/W2130608828.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1498513263","https://openalex.org/W1502339582","https://openalex.org/W1975911106","https://openalex.org/W1984977694","https://openalex.org/W2006397962","https://openalex.org/W2010505009","https://openalex.org/W2018777507","https://openalex.org/W2036027002","https://openalex.org/W2038562061","https://openalex.org/W2043419861","https://openalex.org/W2047784567","https://openalex.org/W2059014957","https://openalex.org/W2078958987","https://openalex.org/W2100307883","https://openalex.org/W2113295388","https://openalex.org/W2117204986","https://openalex.org/W2144828388","https://openalex.org/W2156852622","https://openalex.org/W2161728228","https://openalex.org/W2989661724","https://openalex.org/W4299740413","https://openalex.org/W4300580367","https://openalex.org/W6622727937","https://openalex.org/W6629956820","https://openalex.org/W6654968535","https://openalex.org/W6682930981"],"related_works":["https://openalex.org/W110080003","https://openalex.org/W170824903","https://openalex.org/W2902829144","https://openalex.org/W4300445040","https://openalex.org/W2065972502","https://openalex.org/W2029777907","https://openalex.org/W2952550120","https://openalex.org/W1571006103","https://openalex.org/W4246685877","https://openalex.org/W2297595240"],"abstract_inverted_index":{"This":[0,178],"paper":[1,150],"addresses":[2],"the":[3,38,42,45,60,76,90,106,142,146,157,185,193,205,215,220],"following":[4],"fundamental":[5],"problem:":[6],"Suppose":[7],"that":[8,31,48,64,131,153,173,190],"in":[9,65,75,105,125,141,162,204],"a":[10,23,27,85,97,110,116,122,136],"group":[11,21,77,107],"of":[12,29,102,113,192,195,222],"$n$":[13],"people,":[14],"where":[15],"each":[16,66,94],"person":[17,25,70,74,95,117,138],"knows":[18],"all":[19,103],"other":[20,73],"members,":[22],"single":[24],"holds":[26],"piece":[28],"information":[30,46],"must":[32],"be":[33],"disseminated":[34],"to":[35,210,228],"everybody":[36,161],"within":[37],"group.":[39],"How":[40],"should":[41],"people":[43],"propagate":[44],"so":[47],"after":[49],"short":[50],"time":[51,217],"everyone":[52],"is":[53,118,176,199],"informed?":[54],"The":[55],"classical":[56],"approach,":[57],"known":[58,88],"as":[59,89,200,202],"push":[61,92,187,207],"model,":[62,87,93,188,208],"requires":[63],"round,":[67,140],"every":[68],"informed":[69],"selects":[71],"some":[72],"at":[78],"random,":[79],"whom":[80],"it":[81,120,134,218],"then":[82],"informs.":[83],"In":[84,148],"different":[86],"quasirandom":[91,158,197],"maintains":[96],"cyclic":[98],"list,":[99,128],"i.e.,":[100],"permutation,":[101],"members":[104],"(for":[108],"instance,":[109],"contact":[111],"list":[112],"persons).":[114],"Once":[115],"informed,":[119],"chooses":[121],"random":[123,223],"member":[124],"its":[126],"own":[127],"and":[129],"from":[130,225],"point":[132],"onwards,":[133],"informs":[135,160],"new":[137],"per":[139,232],"order":[143,212],"dictated":[144],"by":[145],"list.":[147],"this":[149,174],"we":[151,170],"show":[152,172],"with":[154,181],"probability":[155],"$1-o(1)$":[156],"protocol":[159],"$(1":[163],"\\pm":[164],"o(1))\\log_2":[165],"n+\\ln":[166],"n$":[167],"rounds;":[168],"furthermore":[169],"also":[171],"bound":[175],"tight.":[177],"result,":[179],"together":[180],"previous":[182],"work":[183],"on":[184],"randomized":[186,206],"demonstrates":[189],"irrespectively":[191],"choice":[194],"lists,":[196],"broadcasting":[198,203],"fast":[201],"up":[209],"lower":[211],"terms.":[213],"At":[214],"same":[216],"reduces":[219],"number":[221],"bits":[224],"$O(\\log^2":[226],"n)$":[227],"only":[229],"$\\lceil\\log_2":[230],"n\\rceil$":[231],"person.":[233]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}