{"id":"https://openalex.org/W2118881475","doi":"https://doi.org/10.1142/s1793830910000516","title":"ASYMPTOTIC DISTRIBUTION OF THE NUMBER OF ISOLATED NODES IN WIRELESS AD HOC NETWORKS WITH UNRELIABLE NODES AND LINKS","display_name":"ASYMPTOTIC DISTRIBUTION OF THE NUMBER OF ISOLATED NODES IN WIRELESS AD HOC NETWORKS WITH UNRELIABLE NODES AND LINKS","publication_year":2010,"publication_date":"2010-03-01","ids":{"openalex":"https://openalex.org/W2118881475","doi":"https://doi.org/10.1142/s1793830910000516","mag":"2118881475"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830910000516","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830910000516","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5111428778","display_name":"Chih\u2010Wei Yi","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"CHIH-WEI YI","raw_affiliation_strings":["Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036031118","display_name":"Peng\u2010Jun Wan","orcid":"https://orcid.org/0000-0001-7926-5711"},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"PENG-JUN WAN","raw_affiliation_strings":["Department of Computer Science, Illinois Institute of Technology, Chicago, IL 60616, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Illinois Institute of Technology, Chicago, IL 60616, USA","institution_ids":["https://openalex.org/I180949307"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109076141","display_name":"CHAO-MIN SU","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"CHAO-MIN SU","raw_affiliation_strings":["Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103529086","display_name":"Kuo\u2010Wei Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"KUO-WEI LIN","raw_affiliation_strings":["Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Chiao Tung University, Hsinchu City 30010, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012720554","display_name":"Scott C.-H. Huang","orcid":"https://orcid.org/0000-0001-9896-1325"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"SCOTT C.-H. HUANG","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Kowloon, Hong Kong, PRC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Kowloon, Hong Kong, PRC","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5111428778"],"corresponding_institution_ids":["https://openalex.org/I148366613"],"apc_list":null,"apc_paid":null,"fwci":2.2362,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.88909176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"02","issue":"01","first_page":"107","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9998999834060669,"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":0.9998999834060669,"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/T11498","display_name":"Security in Wireless Sensor Networks","score":0.9979000091552734,"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":0.9961000084877014,"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/wireless-ad-hoc-network","display_name":"Wireless ad hoc network","score":0.8002701997756958},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.65868079662323},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.6106500625610352},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.5937594771385193},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4921085238456726},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.4728938639163971},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4592691659927368},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.42392656207084656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42158693075180054},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4196651577949524},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37387338280677795},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37190377712249756},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.334129273891449},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12056949734687805},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11391741037368774},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07267206907272339}],"concepts":[{"id":"https://openalex.org/C94523657","wikidata":"https://www.wikidata.org/wiki/Q4085781","display_name":"Wireless ad hoc network","level":3,"score":0.8002701997756958},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.65868079662323},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.6106500625610352},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5937594771385193},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4921085238456726},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.4728938639163971},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4592691659927368},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.42392656207084656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42158693075180054},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4196651577949524},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37387338280677795},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37190377712249756},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.334129273891449},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12056949734687805},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11391741037368774},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07267206907272339},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830910000516","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830910000516","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W587813246","https://openalex.org/W1986043119","https://openalex.org/W2020122265","https://openalex.org/W2088521668","https://openalex.org/W2127369755","https://openalex.org/W2165035730","https://openalex.org/W2169293240","https://openalex.org/W2496163386"],"related_works":["https://openalex.org/W1488915263","https://openalex.org/W2077799587","https://openalex.org/W2065606738","https://openalex.org/W2138098899","https://openalex.org/W2384544638","https://openalex.org/W2161277559","https://openalex.org/W1502313685","https://openalex.org/W2393435941","https://openalex.org/W3112632410","https://openalex.org/W2372679928"],"abstract_inverted_index":{"In":[0,154],"this":[1],"paper,":[2],"we":[3],"study":[4],"the":[5,22,25,55,129,157,183,186,200,208],"connectivity":[6],"of":[7,15,24,27,39,132,185,211],"wireless":[8,34,159],"ad":[9,35],"hoc":[10,36],"networks":[11,160],"that":[12,32,119,161,188],"are":[13,79,92,104],"composed":[14],"unreliable":[16],"nodes":[17,41,53,65,134,191,198,213],"and":[18,44,63,90],"links":[19,91,113],"by":[20],"investigating":[21],"distribution":[23],"number":[26,131,210],"isolated":[28,106,133,136,171,212],"nodes.":[29,116],"We":[30,117],"assume":[31],"a":[33,47,67,167,177,193],"network":[37],"consists":[38],"n":[40,61,76],"distributed":[42],"independently":[43,81,94],"uniformly":[45],"in":[46,156],"unit-area":[48],"disk":[49],"or":[50],"square.":[51],"All":[52],"have":[54,66,111,176,192,199],"same":[56,201],"maximum":[57,202],"transmission":[58,203],"radius":[59,204],"r":[60,75],",":[62,152],"two":[64,189],"link":[68],"if":[69,107,120,172],"their":[70],"distance":[71],"is":[72,140,169,214],"at":[73],"most":[74],".":[77,221],"Nodes":[78,103],"active":[80,115,137],"with":[82,95,143,217],"probability":[83,96,184],"0":[84,97],"&lt;":[85,98],"p":[86,99,148,181],"1":[87,149],"\u2264":[88,101],"1,":[89],"up":[93],"2":[100],"1.":[102],"said":[105,170],"they":[108],"do":[109],"not":[110,175],"any":[112],"to":[114],"show":[118],"[Formula:":[121,205],"see":[122,206],"text]":[123],"for":[124],"some":[125],"constant":[126],"\u03be,":[127],"then":[128],"total":[130,209],"(or":[135,147],"nodes,":[138],"respectively)":[139],"asymptotically":[141,215],"Poisson":[142,216],"mean":[144,218],"e":[145,150,219],"-\u03be":[146,151,220],"respectively).":[153],"addition,":[155],"secure":[158,178,194],"adopt":[162],"m-composite":[163],"key":[164],"predistribution":[165],"schemes,":[166],"node":[168],"it":[173],"does":[174],"link.":[179,195],"Let":[180],"denote":[182],"event":[187],"neighbor":[190],"If":[196],"all":[197],"text],":[207]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
