{"id":"https://openalex.org/W1972379858","doi":"https://doi.org/10.1155/wcn/2006/31467","title":"On the Geometrical Characteristics of Three-Dimensional Wireless Ad Hoc Networks and Their Applications","display_name":"On the Geometrical Characteristics of Three-Dimensional Wireless Ad Hoc Networks and Their Applications","publication_year":2006,"publication_date":"2006-03-27","ids":{"openalex":"https://openalex.org/W1972379858","doi":"https://doi.org/10.1155/wcn/2006/31467","mag":"1972379858"},"language":"en","primary_location":{"id":"doi:10.1155/wcn/2006/31467","is_oa":true,"landing_page_url":"https://doi.org/10.1155/wcn/2006/31467","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1155/WCN/2006/31467","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["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":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1155/WCN/2006/31467","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039012798","display_name":"Guansheng Li","orcid":"https://orcid.org/0000-0002-3982-0562"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guansheng Li","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, Beijing, 100084, China","Department of Electronic Engineering, Tsinghua University, Beijing, CHINA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, CHINA#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079233004","display_name":"Pingyi Fan","orcid":"https://orcid.org/0000-0002-0658-6079"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pingyi Fan","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, Beijing, 100084, China","Department of Electronic Engineering, Tsinghua University, Beijing, CHINA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, CHINA#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036466435","display_name":"Kai Cai","orcid":"https://orcid.org/0000-0002-8784-0728"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Cai","raw_affiliation_strings":["Department of Electronic Engineering, Tsinghua University, Beijing, 100084, China","Department of Electronic Engineering, Tsinghua University, Beijing, CHINA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Electronic Engineering, Tsinghua University, Beijing, CHINA#TAB#","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039012798"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":0.639,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.72014858,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"2006","issue":"1","first_page":null,"last_page":null},"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/T10796","display_name":"Cooperative Communication and Network Coding","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/T11896","display_name":"Opportunistic and Delay-Tolerant Networks","score":0.9965000152587891,"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":0.8340227603912354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7965898513793945},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.5881099104881287},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5760617852210999},{"id":"https://openalex.org/keywords/stochastic-geometry-models-of-wireless-networks","display_name":"Stochastic geometry models of wireless networks","score":0.5201244950294495},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.48468711972236633},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.45686623454093933},{"id":"https://openalex.org/keywords/spatial-network","display_name":"Spatial network","score":0.426636278629303},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39962518215179443},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.330114483833313},{"id":"https://openalex.org/keywords/optimized-link-state-routing-protocol","display_name":"Optimized Link State Routing Protocol","score":0.2994598150253296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17199483513832092},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1314767301082611},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08897554874420166}],"concepts":[{"id":"https://openalex.org/C94523657","wikidata":"https://www.wikidata.org/wiki/Q4085781","display_name":"Wireless ad hoc network","level":3,"score":0.8340227603912354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7965898513793945},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.5881099104881287},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5760617852210999},{"id":"https://openalex.org/C27819379","wikidata":"https://www.wikidata.org/wiki/Q17166031","display_name":"Stochastic geometry models of wireless networks","level":5,"score":0.5201244950294495},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.48468711972236633},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.45686623454093933},{"id":"https://openalex.org/C53471067","wikidata":"https://www.wikidata.org/wiki/Q7574076","display_name":"Spatial network","level":2,"score":0.426636278629303},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39962518215179443},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.330114483833313},{"id":"https://openalex.org/C204739117","wikidata":"https://www.wikidata.org/wiki/Q1368373","display_name":"Optimized Link State Routing Protocol","level":4,"score":0.2994598150253296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17199483513832092},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1314767301082611},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08897554874420166},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/wcn/2006/31467","is_oa":true,"landing_page_url":"https://doi.org/10.1155/wcn/2006/31467","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1155/WCN/2006/31467","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["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":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1808543464084fc7b953004a3fc8746d","is_oa":true,"landing_page_url":"https://doaj.org/article/1808543464084fc7b953004a3fc8746d","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking, Vol 2006 (2006)","raw_type":"article"},{"id":"pmh:oai:doaj.org/article:a83fccd959094c50b5f122c64a06c6e0","is_oa":true,"landing_page_url":"https://doaj.org/article/a83fccd959094c50b5f122c64a06c6e0","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Wireless Communications and Networking, Vol 2006, Iss 1, p 031467 (2006)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/wcn/2006/31467","is_oa":true,"landing_page_url":"https://doi.org/10.1155/wcn/2006/31467","pdf_url":"https://jwcn-eurasipjournals.springeropen.com/counter/pdf/10.1155/WCN/2006/31467","source":{"id":"https://openalex.org/S82675988","display_name":"EURASIP Journal on Wireless Communications and Networking","issn_l":"1687-1472","issn":["1687-1472","1687-1499"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["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":"EURASIP Journal on Wireless Communications and Networking","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320324856","display_name":"Southeast University","ror":"https://ror.org/04ct4d772"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1972379858.pdf","grobid_xml":"https://content.openalex.org/works/W1972379858.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1603416030","https://openalex.org/W1709754610","https://openalex.org/W1977545325","https://openalex.org/W2105831729","https://openalex.org/W2106403318","https://openalex.org/W2118509185","https://openalex.org/W2135031403","https://openalex.org/W2137775453","https://openalex.org/W2145417574","https://openalex.org/W2149769217","https://openalex.org/W2165473943","https://openalex.org/W2171590803","https://openalex.org/W2905110430"],"related_works":["https://openalex.org/W2384544638","https://openalex.org/W2161277559","https://openalex.org/W1502313685","https://openalex.org/W2041843173","https://openalex.org/W3112632410","https://openalex.org/W3008753976","https://openalex.org/W2372679928","https://openalex.org/W117858965","https://openalex.org/W1992227230","https://openalex.org/W2034449422"],"abstract_inverted_index":{"In":[0,90],"a":[1,13,106,135],"wireless":[2,40,79,101],"ad":[3,41,80,102],"hoc":[4,42,81,103],"network,":[5],"messages":[6,21],"are":[7,83,129],"transmitted,":[8],"received,":[9],"and":[10,17,53,115,131,159],"forwarded":[11],"in":[12,39,48,65,70,76,85,105,109,134,176],"finite":[14,87,107,136,151],"geometrical":[15,35,96],"region":[16,68],"the":[18,26,29,32,49,62,66,71,86,95,99,110,121,141,150,156,160,170,177],"transmission":[19],"of":[20,28,34,45,98,112,169],"is":[22,44],"highly":[23],"dependent":[24],"on":[25,61,140,149],"locations":[27],"nodes.":[30],"Therefore":[31],"study":[33],"relationship":[36],"between":[37,125],"nodes":[38,127],"networks":[43,63,82],"fundamental":[46],"importance":[47],"network":[50,104,126,153],"architecture":[51],"design":[52],"performance":[54],"evaluation.":[55],"However,":[56],"most":[57],"previous":[58],"works":[59],"concentrated":[60],"deployed":[64,84],"two-dimensional":[67],"or":[69],"infinite":[72],"three-dimensional":[73,88,100,152],"space,":[74],"while":[75],"many":[77],"cases":[78],"space.":[89,138],"this":[91],"paper,":[92],"we":[93,144,164],"analyze":[94],"characteristics":[97],"space":[108],"framework":[111],"random":[113],"graph":[114],"deduce":[116],"an":[117],"expression":[118],"to":[119],"calculate":[120],"distance":[122,171],"probability":[123,172],"distribution":[124,173],"that":[128],"independently":[130],"uniformly":[132],"distributed":[133],"cuboid":[137],"Based":[139],"theoretical":[142],"result,":[143],"present":[145],"some":[146,166],"meaningful":[147],"results":[148],"performance,":[154],"including":[155],"node":[157],"degree":[158],"max-flow":[161],"capacity.":[162],"Furthermore,":[163],"investigate":[165],"approximation":[167],"properties":[168],"function":[174],"derived":[175],"paper.":[178]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}