{"id":"https://openalex.org/W2018225121","doi":"https://doi.org/10.1109/isit.2007.4557369","title":"A Multimessage Capacity Region for Undirected Ring Networks","display_name":"A Multimessage Capacity Region for Undirected Ring Networks","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2018225121","doi":"https://doi.org/10.1109/isit.2007.4557369","mag":"2018225121"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2007.4557369","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2007.4557369","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":"conference-paper","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/A5072227716","display_name":"S. M. Sadegh Tabatabaei Yazdi","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]},{"id":"https://openalex.org/I4210140958","display_name":"Ann Arbor Center for Independent Living","ror":"https://ror.org/045pcya52","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210140958"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. M. Sadegh Tabatabaei Yazdi","raw_affiliation_strings":["EECS Dept., University of Michigan, Ann Arbor, MI, USA","University of Michigan, Ann Arbor, Ann Arbor"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EECS Dept., University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"University of Michigan, Ann Arbor, Ann Arbor","institution_ids":["https://openalex.org/I27837315","https://openalex.org/I4210140958"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009369454","display_name":"Serap A. Savari","orcid":"https://orcid.org/0000-0002-7451-4392"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Serap A. Savari","raw_affiliation_strings":["EECS Dept., University of Michigan, Ann Arbor, MI, USA","EECS Dept., University of Michigan, Ann Arbor, MI USA. savari@eecs.umich.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EECS Dept., University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"EECS Dept., University of Michigan, Ann Arbor, MI USA. savari@eecs.umich.edu","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011621481","display_name":"Farzad Farnoud","orcid":"https://orcid.org/0000-0002-8684-4487"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Farzad Farnoud","raw_affiliation_strings":["ECE Dept., University of Toronto, Toronto, Ontario, Canada. farnoud@comm.utoronto.ca"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ECE Dept., University of Toronto, Toronto, Ontario, Canada. farnoud@comm.utoronto.ca","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047591578","display_name":"Gerhard Kramer","orcid":"https://orcid.org/0000-0002-3904-9181"},"institutions":[{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gerhard Kramer","raw_affiliation_strings":["Bell Labs Alcatel-Lucent, Murray Hill, NJ, USA","Bell Labs, Alcatel-Lucent, Murray Hill, NJ USA. gkr@bell-labs.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Labs Alcatel-Lucent, Murray Hill, NJ, USA","institution_ids":[]},{"raw_affiliation_string":"Bell Labs, Alcatel-Lucent, Murray Hill, NJ USA. gkr@bell-labs.com","institution_ids":["https://openalex.org/I72090969"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1834,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.7642914,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"68","issue":null,"first_page":"1091","last_page":"1095"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9993000030517578,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/unicast","display_name":"Unicast","score":0.8751190304756165},{"id":"https://openalex.org/keywords/multicast","display_name":"Multicast","score":0.836553156375885},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.6958051323890686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5929391384124756},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.549068808555603},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5215896964073181},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4894479811191559},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.47610270977020264},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.46931859850883484},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43612876534461975},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.4153193235397339},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3969237208366394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35470151901245117},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3520808219909668},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3298182487487793},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3278210759162903},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.312938928604126},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.11295321583747864},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10671982169151306}],"concepts":[{"id":"https://openalex.org/C11704745","wikidata":"https://www.wikidata.org/wiki/Q918337","display_name":"Unicast","level":3,"score":0.8751190304756165},{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.836553156375885},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.6958051323890686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5929391384124756},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.549068808555603},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5215896964073181},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4894479811191559},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.47610270977020264},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.46931859850883484},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43612876534461975},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.4153193235397339},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3969237208366394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35470151901245117},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3520808219909668},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3298182487487793},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3278210759162903},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.312938928604126},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.11295321583747864},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10671982169151306},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2007.4557369","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2007.4557369","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W91309820","https://openalex.org/W632653914","https://openalex.org/W1597196612","https://openalex.org/W1976329386","https://openalex.org/W1991039238","https://openalex.org/W2017713020","https://openalex.org/W2018214829","https://openalex.org/W2061445300","https://openalex.org/W2099111195","https://openalex.org/W2105831729","https://openalex.org/W2121205191","https://openalex.org/W2137690813","https://openalex.org/W2142571318","https://openalex.org/W2147224367","https://openalex.org/W2325997012","https://openalex.org/W2574798017","https://openalex.org/W2798854302","https://openalex.org/W4206570602","https://openalex.org/W6603644303","https://openalex.org/W6620374709"],"related_works":["https://openalex.org/W1966768284","https://openalex.org/W2141226803","https://openalex.org/W1972955796","https://openalex.org/W2978800595","https://openalex.org/W2219910205","https://openalex.org/W1541857863","https://openalex.org/W207048982","https://openalex.org/W2026651734","https://openalex.org/W2385427787","https://openalex.org/W2122706277"],"abstract_inverted_index":{"We":[0,31,64],"develop":[1],"an":[2,50],"extension":[3],"of":[4,18,21,58,61],"the":[5,14,19,27,40,59],"Japanese":[6],"theorem":[7],"to":[8,74],"multiple":[9,44],"multicast":[10,29],"sessions":[11,48],"and":[12,46],"interpret":[13],"result":[15,34],"in":[16,38],"terms":[17],"collection":[20],"minimal":[22],"length":[23],"routing":[24,68],"trees":[25],"for":[26,43],"various":[28],"sessions.":[30],"use":[32],"this":[33],"as":[35],"a":[36,55],"step":[37],"providing":[39],"capacity":[41],"region":[42],"unicast":[45],"broadcast":[47],"on":[49],"undirected":[51],"ring":[52],"network":[53],"via":[54],"simple":[56],"characterization":[57],"family":[60],"bounds":[62],"needed.":[63],"further":[65],"demonstrate":[66],"that":[67],"is":[69],"rate-optimal":[70],"using":[71],"new":[72],"extensions":[73],"progressive":[75],"d-separating":[76],"edge":[77],"set":[78],"bounds.":[79]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}