{"id":"https://openalex.org/W2000985696","doi":"https://doi.org/10.1137/120865021","title":"Flooding in Weighted Sparse Random Graphs","display_name":"Flooding in Weighted Sparse Random Graphs","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2000985696","doi":"https://doi.org/10.1137/120865021","mag":"2000985696"},"language":"en","primary_location":{"id":"doi:10.1137/120865021","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120865021","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101437661","display_name":"Hamed Amini","orcid":"https://orcid.org/0000-0002-6642-1575"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Hamed Amini","raw_affiliation_strings":["\u00c9cole Polytechnique, F\u00e9d\u00e9rale de Lausanne#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique, F\u00e9d\u00e9rale de Lausanne#TAB#","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083971005","display_name":"Moez Draief","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Moez Draief","raw_affiliation_strings":["Department of Electrical and Electronic Engineering [London]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering [London]","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111986103","display_name":"Marc Lelarge","orcid":null},"institutions":[{"id":"https://openalex.org/I4210153302","display_name":"Geometric (India)","ror":"https://ror.org/04xprjz26","country_code":"IN","type":"company","lineage":["https://openalex.org/I4210153302"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Marc Lelarge","raw_affiliation_strings":["Dynamics of Geometric Networks"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dynamics of Geometric Networks","institution_ids":["https://openalex.org/I4210153302"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.659,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.96117891,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"27","issue":"1","first_page":"1","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9994999766349792,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9987999796867371,"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/T10742","display_name":"Peer-to-Peer Network Technologies","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7867044806480408},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.7317311763763428},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6320845484733582},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6234988570213318},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.615655779838562},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4914604425430298},{"id":"https://openalex.org/keywords/random-geometric-graph","display_name":"Random geometric graph","score":0.49106287956237793},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.469513863325119},{"id":"https://openalex.org/keywords/random-regular-graph","display_name":"Random regular graph","score":0.4482635259628296},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.43548792600631714},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.41478127241134644},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.40167155861854553},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2586202621459961},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19414299726486206},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15552985668182373},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.15397056937217712},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.09912332892417908}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7867044806480408},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.7317311763763428},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6320845484733582},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6234988570213318},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.615655779838562},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4914604425430298},{"id":"https://openalex.org/C30609935","wikidata":"https://www.wikidata.org/wiki/Q7291969","display_name":"Random geometric graph","level":5,"score":0.49106287956237793},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.469513863325119},{"id":"https://openalex.org/C4255713","wikidata":"https://www.wikidata.org/wiki/Q7291988","display_name":"Random regular graph","level":5,"score":0.4482635259628296},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.43548792600631714},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.41478127241134644},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.40167155861854553},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2586202621459961},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19414299726486206},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15552985668182373},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.15397056937217712},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.09912332892417908},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/120865021","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120865021","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00793055v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00793055","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":"SIAM Journal on Discrete Mathematics, 2013, 27 (1), pp.1-26. ⟨10.1137/120865021⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1483717185","https://openalex.org/W1970542229","https://openalex.org/W1981896702","https://openalex.org/W1984977694","https://openalex.org/W2013240448","https://openalex.org/W2031541804","https://openalex.org/W2032914791","https://openalex.org/W2059014957","https://openalex.org/W2080916265","https://openalex.org/W2129918926","https://openalex.org/W2134865468","https://openalex.org/W2143834312","https://openalex.org/W2148896022","https://openalex.org/W2166392198","https://openalex.org/W2951845073","https://openalex.org/W2952242105","https://openalex.org/W4250665764"],"related_works":["https://openalex.org/W2130919150","https://openalex.org/W2035770966","https://openalex.org/W2782929340","https://openalex.org/W2963133557","https://openalex.org/W3204625017","https://openalex.org/W2554636452","https://openalex.org/W2274508894","https://openalex.org/W2033897500","https://openalex.org/W4300910183","https://openalex.org/W3104419394"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,81],"study":[4],"the":[5,35,41,55,60,74,78,88,93,96,105,109,130,134,143,148,153,159],"impact":[6],"of":[7,66,77,90,95,133,147],"edge":[8],"weights":[9,19],"on":[10,73,164],"distances":[11],"in":[12,142],"sparse":[13],"random":[14,31,79,123],"graphs.":[15,125],"We":[16,33,102],"interpret":[17],"these":[18,84],"as":[20,25,40,87],"delays":[21],"and":[22,27,54],"take":[23],"them":[24],"independent":[26],"identically":[28],"distributed":[29],"exponential":[30],"variables.":[32],"analyze":[34,116],"weighted":[36,56],"flooding":[37],"time":[38,43],"defined":[39],"minimum":[42],"needed":[44],"to":[45,59,100,115],"reach":[46,152],"all":[47],"nodes":[48],"from":[49],"one":[50],"uniformly":[51],"chosen":[52],"node":[53],"diameter":[57],"corresponding":[58],"largest":[61],"distance":[62],"between":[63],"any":[64],"pair":[65],"vertices.":[67],"Under":[68],"some":[69],"standard":[70],"regularity":[71],"conditions":[72],"degree":[75],"sequence":[76],"graph,":[80,149],"show":[82,128],"that":[83,129],"quantities":[85],"grow":[86],"logarithm":[89],"$n$":[91,98],"when":[92],"size":[94,145],"graph":[97],"tends":[99],"infinity.":[101],"also":[103],"derive":[104],"exact":[106],"value":[107],"for":[108,122],"prefactor.":[110],"These":[111],"results":[112,127],"allow":[113],"us":[114],"an":[117],"asynchronous":[118,131],"randomized":[119],"broadcast":[120],"algorithm":[121,135],"regular":[124],"Our":[126],"version":[132],"performs":[136],"better":[137],"than":[138],"its":[139],"synchronized":[140],"version:":[141],"large":[144],"limit":[146],"it":[150],"will":[151],"whole":[154],"network":[155],"faster":[156],"even":[157],"if":[158],"local":[160],"dynamics":[161],"are":[162],"similar":[163],"average.":[165]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}