{"id":"https://openalex.org/W2112162941","doi":"https://doi.org/10.1109/wowmom.2005.70","title":"On the Clustering Properties of Exponential Random Networks","display_name":"On the Clustering Properties of Exponential Random Networks","publication_year":2005,"publication_date":"2005-06-28","ids":{"openalex":"https://openalex.org/W2112162941","doi":"https://doi.org/10.1109/wowmom.2005.70","mag":"2112162941"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/wowmom.2005.70","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5084509524","display_name":"Nikhil Karamchandani","orcid":"https://orcid.org/0000-0002-7233-0717"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"N. Karamchandani","raw_affiliation_strings":["Dept. of Electr. Eng., Indian Inst. of Technol., Mumbai, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Electr. Eng., Indian Inst. of Technol., Mumbai, India#TAB#","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017359920","display_name":"D. Manjunath","orcid":"https://orcid.org/0000-0001-7302-284X"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"D. Manjunath","raw_affiliation_strings":["Dept. of Electr. Eng., Indian Inst. of Technol., Mumbai, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Electr. Eng., Indian Inst. of Technol., Mumbai, India#TAB#","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103563640","display_name":"Srikanth K. Iyer","orcid":null},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S.K. Iyer","raw_affiliation_strings":["Indian Institute of Technology Kanpur \u2028"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Kanpur \u2028","institution_ids":["https://openalex.org/I94234084"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.327,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":12,"citation_normalized_percentile":{"value":0.669526,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":82,"max":83},"biblio":{"volume":null,"issue":null,"first_page":"177","last_page":"182"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9994,"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":0.9994,"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":0.9865,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.983,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/giant-component","display_name":"Giant component","score":0.63483363},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5833867},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.5444594},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.42370114},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.4221908}],"concepts":[{"id":"https://openalex.org/C148818006","wikidata":"https://www.wikidata.org/wiki/Q4137985","display_name":"Giant component","level":4,"score":0.63483363},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.6301883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6185226},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.58719873},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5833867},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.56622046},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5649837},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.5444594},{"id":"https://openalex.org/C197096303","wikidata":"https://www.wikidata.org/wiki/Q869887","display_name":"Probability mass function","level":3,"score":0.49322957},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4926322},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.42370114},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.4221908},{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.42171532},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.41779333},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.410088},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40047413},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32405657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27514172},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.20635158},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19071224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08721048},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.077384084},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.070886254},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/wowmom.2005.70","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":6,"referenced_works":["https://openalex.org/W128724065","https://openalex.org/W2042337206","https://openalex.org/W2042668891","https://openalex.org/W2125044107","https://openalex.org/W2318245334","https://openalex.org/W630423399"],"related_works":["https://openalex.org/W4387641633","https://openalex.org/W4293753062","https://openalex.org/W4287258775","https://openalex.org/W2290279467","https://openalex.org/W2142290020","https://openalex.org/W2064421016","https://openalex.org/W2023655621","https://openalex.org/W1889601917","https://openalex.org/W1536267889","https://openalex.org/W1534465152"],"abstract_inverted_index":{"We":[0,42,85,98,109],"consider":[1,38],"the":[2,10,26,45,63,75,80,88,93,101,107,112,115,129,134,147,153,169,183],"clustering":[3],"properties":[4],"of":[5,66,77,90,106,117,123,131,149,168],"one-dimensional":[6],"sensor":[7],"networks":[8],"where":[9],"nodes":[11,55,132,170],"are":[12,29,136],"randomly":[13,20,58],"deployed.":[14],"Unlike":[15],"most":[16],"other":[17],"work":[18],"on":[19],"deployed":[21,59],"networks,":[22],"ours":[23],"assumes":[24],"that":[25,47,87],"node":[27],"locations":[28,105],"drawn":[30],"from":[31],"a":[32,50,57,118,158,163,172,190],"non":[33],"uniform":[34],"distribution.":[35,41,97],"Specifically,":[36],"we":[37],"an":[39],"exponential":[40],"first":[43],"obtain":[44,62,111],"probability":[46,70,113],"there":[48],"exists":[49],"path":[51],"between":[52],"two":[53],"labeled":[54],"in":[56,79,92,96,128,133,152,161],"network":[60,81,94,135,154,184],"and":[61,121],"limiting":[64],"behavior":[65],"this":[67],"probability.":[68],"The":[69],"mass":[71],"function":[72],"(pmf)":[73],"for":[74,103,114,138,179],"number":[76,89,130,148],"components":[78,91,122],"is":[82,144],"then":[83,110],"obtained.":[84],"show":[86],"converges":[95],"also":[99],"derive":[100],"probabilities":[102],"different":[104],"components.":[108],"existence":[116],"k-sized":[119],"component":[120],"size":[124],"/spl":[125,166],"ges/k.":[126],"Asymptotics":[127],"computed":[137],"these":[139],"probabilities.":[140],"An":[141],"interesting":[142],"result":[143],"that,":[145],"as":[146],"nodes,":[150],"n,":[151],"tends":[155],"to":[156],"infinity,":[157],"giant":[159,191],"component,":[160,173],"which":[162],"specific":[164],"fraction,":[165],"alpha/,":[167],"form":[171],"almost":[174,185],"surely":[175,186],"does":[176,187],"not":[177,188],"exist":[178],"any":[180],"0n/sub":[181],"0/,":[182],"have":[189],"component.":[192]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2112162941","counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2024-12-18T20:16:22.109461","created_date":"2016-06-24"}