{"id":"https://openalex.org/W2148487405","doi":"https://doi.org/10.1109/tit.2010.2040866","title":"On the Multimessage Capacity Region for Undirected Ring Networks","display_name":"On the Multimessage Capacity Region for Undirected Ring Networks","publication_year":2010,"publication_date":"2010-03-24","ids":{"openalex":"https://openalex.org/W2148487405","doi":"https://doi.org/10.1109/tit.2010.2040866","mag":"2148487405"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2010.2040866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2040866","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5072227716","display_name":"S. M. Sadegh Tabatabaei Yazdi","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"S.M.S.T. Yazdi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Texas A and M University, College Station, TX, USA","Dept. of Electr. & Comput. Eng, Texas A&M Univ., College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng, Texas A&M Univ., College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"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/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S.A. Savari","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Texas A and M University, College Station, TX, USA","Dept. of Electr. & Comput. Eng, Texas A&M Univ., College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng, Texas A&M Univ., College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047591578","display_name":"Gerhard Kramer","orcid":"https://orcid.org/0000-0002-3904-9181"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Kramer","raw_affiliation_strings":["Bell Laboratories, Los Angeles, USA","Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","Bell Laboratories, Los Angeles, USA; Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Bell Laboratories, Los Angeles, USA","institution_ids":[]},{"raw_affiliation_string":"Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Bell Laboratories, Los Angeles, USA; Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004808854","display_name":"Kelli Carlson","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K. Carlson","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","Dept. of Math., Univ. of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Dept. of Math., Univ. of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011621481","display_name":"Farzad Farnoud","orcid":"https://orcid.org/0000-0002-8684-4487"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F. Farnoud","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA","Dept. of Electr. & Comput. Eng., Univ. of Illinois at Urbana Champaign, Urbana, IL, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Univ. of Illinois at Urbana Champaign, Urbana, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5072227716"],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":0.7122,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74632196,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"56","issue":"4","first_page":"1930","last_page":"1947"},"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9648000001907349,"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/T12046","display_name":"MXene and MAX Phase Materials","score":0.92330002784729,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multicast","display_name":"Multicast","score":0.8438526391983032},{"id":"https://openalex.org/keywords/unicast","display_name":"Unicast","score":0.7527014017105103},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.6714743375778198},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6230091452598572},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5005784034729004},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4889282286167145},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4578174650669098},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3739944100379944},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37001556158065796},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3685035705566406},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3155342936515808}],"concepts":[{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.8438526391983032},{"id":"https://openalex.org/C11704745","wikidata":"https://www.wikidata.org/wiki/Q918337","display_name":"Unicast","level":3,"score":0.7527014017105103},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.6714743375778198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6230091452598572},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5005784034729004},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4889282286167145},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4578174650669098},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3739944100379944},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37001556158065796},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3685035705566406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3155342936515808},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2010.2040866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2040866","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332222","display_name":"University of Illinois at Urbana-Champaign","ror":"https://ror.org/047426m28"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W91309820","https://openalex.org/W134319921","https://openalex.org/W632653914","https://openalex.org/W1579049696","https://openalex.org/W1597196612","https://openalex.org/W1963547452","https://openalex.org/W1991039238","https://openalex.org/W2017713020","https://openalex.org/W2018214829","https://openalex.org/W2018225121","https://openalex.org/W2026482663","https://openalex.org/W2061445300","https://openalex.org/W2065071321","https://openalex.org/W2099111195","https://openalex.org/W2105831729","https://openalex.org/W2106403318","https://openalex.org/W2114047348","https://openalex.org/W2121205191","https://openalex.org/W2123562143","https://openalex.org/W2137690813","https://openalex.org/W2138928022","https://openalex.org/W2142571318","https://openalex.org/W2145435244","https://openalex.org/W2147224367","https://openalex.org/W2160609908","https://openalex.org/W2175706438","https://openalex.org/W2235269566","https://openalex.org/W2325997012","https://openalex.org/W2478708596","https://openalex.org/W2574798017","https://openalex.org/W4206570602","https://openalex.org/W4213255380"],"related_works":["https://openalex.org/W2141226803","https://openalex.org/W1972955796","https://openalex.org/W2978800595","https://openalex.org/W2219910205","https://openalex.org/W1966768284","https://openalex.org/W1541857863","https://openalex.org/W207048982","https://openalex.org/W2026651734","https://openalex.org/W2385427787","https://openalex.org/W2028287290"],"abstract_inverted_index":{"<para":[0],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[1],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[2],"The":[3],"\u201cJapanese\u201d":[4],"theorem":[5],"is":[6,34,59,111],"extended":[7],"to":[8,16,36,114,128],"multiple":[9],"multicast":[10,72,94,122],"sessions":[11,86,95],"in":[12,53,64,78,90],"an":[13,26],"arbitrary":[14],"network":[15,55,116,134],"characterize":[17],"the":[18,23,47,54,66,79,91,97],"routing":[19,49,131],"capacity":[20,67],"region":[21],"by":[22],"intersection":[24],"of":[25,29,104],"infinite":[27,39],"collection":[28],"halfspaces.":[30],"An":[31],"elimination":[32],"technique":[33],"developed":[35],"simplify":[37],"this":[38],"description":[40],"into":[41],"a":[42,62],"finite":[43],"one":[44],"based":[45],"upon":[46],"shortest":[48],"paths":[50],"and":[51,84,89,99],"trees":[52],"graph.":[56],"This":[57],"result":[58],"used":[60,127],"as":[61],"step":[63],"providing":[65],"regions":[68],"for":[69,119],"two":[70],"multimessage":[71,121],"problems":[73],"on":[74],"undirected":[75],"ring":[76],"networks;":[77],"first":[80],"case":[81,93],"only":[82],"unicast":[83],"broadcast":[85],"are":[87,107,126],"considered,":[88],"second":[92],"where":[96],"source":[98],"destination":[100],"vertices":[101,106],"form":[102],"lines":[103],"adjacent":[105],"studied.":[108],"Network":[109],"coding":[110,135],"generally":[112],"necessary":[113],"achieve":[115,133],"capacity,":[117],"but":[118],"our":[120],"problems,":[123],"new":[124],"arguments":[125],"demonstrate":[129],"that":[130],"can":[132],"bounds.":[136],"</para>":[137]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
