{"id":"https://openalex.org/W2016479697","doi":"https://doi.org/10.1109/isit.2007.4557425","title":"Exact Capacity Scaling of Extended Wireless Networks","display_name":"Exact Capacity Scaling of Extended Wireless Networks","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2016479697","doi":"https://doi.org/10.1109/isit.2007.4557425","mag":"2016479697"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2007.4557425","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2007.4557425","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/handle/20.500.14299/238735","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003322209","display_name":"Ayfer \u00d6zg\u00fcr","orcid":"https://orcid.org/0000-0002-4455-4692"},"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":true,"raw_author_name":"Ayfer Ozgur","raw_affiliation_strings":["Facult\u00e9 Informatique et Communications, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 Lausanne, Switzerland. ayfer.ozgur@epfl.ch","Facult\u00e9 Informatique et Communications Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne 1015 Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Facult\u00e9 Informatique et Communications, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 Lausanne, Switzerland. ayfer.ozgur@epfl.ch","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Facult\u00e9 Informatique et Communications Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne 1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031040719","display_name":"Olivier L\u00e9v\u00eaque","orcid":"https://orcid.org/0000-0002-3533-9958"},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"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","FR"],"is_corresponding":false,"raw_author_name":"Olivier Leveque","raw_affiliation_strings":["Facult\u00e9 Informatique et Communications, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Fac. Inf. et Commun., Ecole Polytech. Fed. de Lausanne, Lausanne"],"affiliations":[{"raw_affiliation_string":"Facult\u00e9 Informatique et Communications, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Fac. Inf. et Commun., Ecole Polytech. Fed. de Lausanne, Lausanne","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024072566","display_name":"David Tse","orcid":"https://orcid.org/0000-0003-1460-5900"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Tse","raw_affiliation_strings":["Department of EECS, University of California at Berkeley, Berkeley, CA, USA","University of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"Department of EECS, University of California at Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003322209"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":1.683,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.85188393,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"52","issue":null,"first_page":"1441","last_page":"1445"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9997000098228455,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.8183158040046692},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5997987985610962},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5695548057556152},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.5404042601585388},{"id":"https://openalex.org/keywords/hop","display_name":"Hop (telecommunications)","score":0.4701443016529083},{"id":"https://openalex.org/keywords/scaling-law","display_name":"Scaling law","score":0.44569918513298035},{"id":"https://openalex.org/keywords/aggregate","display_name":"Aggregate (composite)","score":0.4220821261405945},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39588525891304016},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36538857221603394},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3504858613014221},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33519911766052246},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3298315405845642},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3219326138496399},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.24475312232971191}],"concepts":[{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.8183158040046692},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5997987985610962},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5695548057556152},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.5404042601585388},{"id":"https://openalex.org/C25906391","wikidata":"https://www.wikidata.org/wiki/Q1432381","display_name":"Hop (telecommunications)","level":2,"score":0.4701443016529083},{"id":"https://openalex.org/C2988430800","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Scaling law","level":3,"score":0.44569918513298035},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.4220821261405945},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39588525891304016},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36538857221603394},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3504858613014221},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33519911766052246},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3298315405845642},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3219326138496399},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.24475312232971191},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2007.4557425","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2007.4557425","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.172.8323","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.172.8323","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ipg.epfl.ch/~leveque/Publications/isit07_final.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.tind.io:98574","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/238735","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.tind.io:98574","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/238735","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference proceedings"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332434","display_name":"ExxonMobil Research and Engineering Company","ror":"https://ror.org/01xcepn55"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W851580123","https://openalex.org/W1501904370","https://openalex.org/W1995809650","https://openalex.org/W2002649876","https://openalex.org/W2079313517","https://openalex.org/W2104051575","https://openalex.org/W2110225498","https://openalex.org/W2119937051","https://openalex.org/W2137775453","https://openalex.org/W2162180430","https://openalex.org/W2610857016","https://openalex.org/W6678125184"],"related_works":["https://openalex.org/W2117210722","https://openalex.org/W2589759689","https://openalex.org/W1978191894","https://openalex.org/W2018045843","https://openalex.org/W3146035416","https://openalex.org/W3125668480","https://openalex.org/W1999406711","https://openalex.org/W1989661137","https://openalex.org/W2896124450","https://openalex.org/W4236786952"],"abstract_inverted_index":{"n":[0,13,68],"source":[1],"and":[2,42,51],"destination":[3],"pairs":[4],"randomly":[5],"located":[6],"in":[7],"an":[8],"area":[9],"extending":[10],"linearly":[11],"with":[12,17],"want":[14],"to":[15,25,33,76],"communicate":[16],"each":[18],"other.":[19],"Signals":[20],"transmitted":[21],"from":[22],"one":[23],"user":[24],"another":[26],"at":[27],"distance":[28],"r":[29,38],"apart":[30],"are":[31,140],"subject":[32],"a":[34,56,116,169],"power":[35],"attenuation":[36],"of":[37,58,84,93,123,172,175],"<sup":[39,69],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[40,70],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-\u03b1</sup>":[41],"random":[43],"phase":[44],"changes.":[45],"Classical":[46],"multihop":[47],"architectures":[48],"that":[49,136,143],"decode":[50],"forward":[52],"packets":[53],"can":[54,147,156],"deliver":[55],"\u221an-scaling":[57],"the":[59,91,100,121,124,137,173,176],"aggregate":[60,125],"throughput,":[61,126],"while":[62,99],"recently":[63],"proposed":[64],"hierarchical":[65,149],"cooperation":[66,150],"achieves":[67],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2-\u03b1/2</sup>":[71],"-scaling,":[72],"which":[73],"is":[74,168],"superior":[75],"multi-hop":[77,94,160],"for":[78,95,128],"\u03b1":[79,96,105,130,152,162],"<":[80,153],"3.":[81,164],"The":[82,165],"study":[83],"information":[85],"theoretic":[86],"upper":[87,118],"bounds":[88],"has":[89],"revealed":[90],"optimality":[92],">":[97],"4,":[98],"moderate-attenuation":[101],"regime":[102],"(2":[103],"\u2264":[104,106],"4)":[107],"remains":[108],"uncharacterized.":[109],"We":[110],"close":[111],"this":[112],"gap":[113],"by":[114],"deriving":[115],"tight":[117],"bound":[119],"on":[120],"scaling":[122,174],"valid":[127],"all":[129],"\u2265":[131,163],"2.":[132],"Our":[133],"result":[134],"shows":[135],"mentioned":[138],"schemes":[139],"scaling-optimal,":[141],"namely":[142],"no":[144],"other":[145],"scheme":[146],"beat":[148,158],"when":[151,161],"3,":[154],"nor":[155],"it":[157],"classical":[159],"key":[166],"ingredient":[167],"careful":[170],"evaluation":[171],"cut-set":[177],"bound.":[178]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
