{"id":"https://openalex.org/W2550907370","doi":"https://doi.org/10.1109/allerton.2010.5707033","title":"Capacity of a class of multicast tree networks","display_name":"Capacity of a class of multicast tree networks","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2550907370","doi":"https://doi.org/10.1109/allerton.2010.5707033","mag":"2550907370"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2010.5707033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5707033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1005.2710","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091779193","display_name":"Si-Hyeon Lee","orcid":"https://orcid.org/0000-0002-4362-5970"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Si-Hyeon Lee","raw_affiliation_strings":["Department of EE, Korea Advanced Institute of Science and Technology, Daejeon, South Korea","Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Tech. (KAIST), Daejeon, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of EE, Korea Advanced Institute of Science and Technology, Daejeon, South Korea","institution_ids":["https://openalex.org/I157485424"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Tech. (KAIST), Daejeon, South Korea","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085845584","display_name":"Sae-Young Chung","orcid":"https://orcid.org/0000-0003-4034-3991"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Sae-Young Chung","raw_affiliation_strings":["Department of EE, Korea Advanced Institute of Science and Technology, Daejeon, South Korea","Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Tech. (KAIST), Daejeon, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of EE, Korea Advanced Institute of Science and Technology, Daejeon, South Korea","institution_ids":["https://openalex.org/I157485424"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Tech. (KAIST), Daejeon, South Korea","institution_ids":["https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091779193"],"corresponding_institution_ids":["https://openalex.org/I157485424"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.38320018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1104","last_page":"1109"},"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9872999787330627,"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"}},{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9836999773979187,"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/multicast","display_name":"Multicast","score":0.8517982959747314},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.7112869620323181},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6300369501113892},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.621446430683136},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5649588704109192},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.560322642326355},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.5231824517250061},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.4928627014160156},{"id":"https://openalex.org/keywords/codebook","display_name":"Codebook","score":0.48591819405555725},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.46910911798477173},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4484559893608093},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37469929456710815},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3666803240776062},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2239062786102295},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18221154808998108},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.08936583995819092},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.07879811525344849}],"concepts":[{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.8517982959747314},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.7112869620323181},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6300369501113892},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.621446430683136},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5649588704109192},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.560322642326355},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.5231824517250061},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.4928627014160156},{"id":"https://openalex.org/C127759330","wikidata":"https://www.wikidata.org/wiki/Q637416","display_name":"Codebook","level":2,"score":0.48591819405555725},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.46910911798477173},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4484559893608093},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37469929456710815},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3666803240776062},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2239062786102295},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18221154808998108},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.08936583995819092},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.07879811525344849},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/allerton.2010.5707033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2010.5707033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1005.2710","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1005.2710","pdf_url":"https://arxiv.org/pdf/1005.2710","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2550907370","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1005.2710v2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.751.1806","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.751.1806","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1005.2710.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1005.2710","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1005.2710","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1005.2710","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1005.2710","pdf_url":"https://arxiv.org/pdf/1005.2710","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2550907370.pdf","grobid_xml":"https://content.openalex.org/works/W2550907370.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1971536606","https://openalex.org/W1983975253","https://openalex.org/W2002925467","https://openalex.org/W2051291905","https://openalex.org/W2098567664","https://openalex.org/W2110266514","https://openalex.org/W2118293113","https://openalex.org/W2120197763","https://openalex.org/W2123350510","https://openalex.org/W2132100261","https://openalex.org/W2143157029","https://openalex.org/W2146818257","https://openalex.org/W2163597393","https://openalex.org/W2164651000","https://openalex.org/W2167447263","https://openalex.org/W2963499751","https://openalex.org/W3146145449"],"related_works":["https://openalex.org/W2095736722","https://openalex.org/W2381018669","https://openalex.org/W2952764605","https://openalex.org/W2750886629","https://openalex.org/W2083894425","https://openalex.org/W2980956119","https://openalex.org/W2951463522","https://openalex.org/W1528364700","https://openalex.org/W2552318507","https://openalex.org/W2903163038","https://openalex.org/W2950104863","https://openalex.org/W2952528012","https://openalex.org/W1776947049","https://openalex.org/W2891005763","https://openalex.org/W2963407494","https://openalex.org/W1964750514","https://openalex.org/W2747856796","https://openalex.org/W2561192952","https://openalex.org/W2099752482","https://openalex.org/W2092817526"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"characterize":[4],"the":[5,24,28,35,58,76,83,132,145],"capacity":[6,77],"of":[7,11,47,53,60,101,140],"a":[8,19,69,88,99,112,137],"new":[9,138],"class":[10,52,59],"single-source":[12],"multicast":[13,54],"discrete":[14],"memoryless":[15],"relay":[16,97,110,120],"networks":[17,56,62],"having":[18],"tree":[20,55,146],"topology":[21,147],"in":[22,34],"which":[23],"root":[25],"node":[26,33,43,126],"is":[27,92,148],"source":[29],"and":[30,44,66,104,107,119,127],"each":[31,95,108,125],"parent":[32],"graph":[36],"has":[37],"at":[38],"most":[39],"one":[40],"noisy":[41,96],"child":[42,49],"any":[45],"number":[46],"noiseless":[48,109],"nodes.":[50],"This":[51],"includes":[57],"diamond":[61],"studied":[63],"by":[64],"Kang":[65],"Ulukus":[67],"as":[68],"special":[70],"case,":[71],"where":[72,94],"they":[73],"showed":[74],"that":[75,116],"can":[78],"be":[79],"strictly":[80],"lower":[81],"than":[82],"cut-set":[84],"bound.":[85],"For":[86,135],"achievablity,":[87],"novel":[89],"coding":[90],"scheme":[91],"constructed":[93],"employs":[98],"combination":[100],"decode-and-forward":[102],"(DF)":[103],"compress-and-forward":[105],"(CF)":[106],"performs":[111],"random":[113],"binning":[114],"such":[115],"codebook":[117],"constructions":[118],"operations":[121],"are":[122],"independent":[123],"for":[124],"do":[128],"not":[129],"depend":[130],"on":[131],"network":[133],"topology.":[134],"converse,":[136],"technique":[139],"iteratively":[141],"manipulating":[142],"inequalities":[143],"exploiting":[144],"used.":[149]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}