{"id":"https://openalex.org/W4214677720","doi":"https://doi.org/10.1109/tit.2022.3155671","title":"Zero-Error Capacity Regions of Noisy Networks","display_name":"Zero-Error Capacity Regions of Noisy Networks","publication_year":2022,"publication_date":"2022-02-28","ids":{"openalex":"https://openalex.org/W4214677720","doi":"https://doi.org/10.1109/tit.2022.3155671"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3155671","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3155671","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/A5025342659","display_name":"Qi Cao","orcid":"https://orcid.org/0000-0002-1918-9910"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qi Cao","raw_affiliation_strings":["Guangzhou Institute, Xidian University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Guangzhou Institute, Xidian University, Guangzhou, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038760786","display_name":"Raymond W. Yeung","orcid":"https://orcid.org/0000-0001-7386-4027"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Raymond W. Yeung","raw_affiliation_strings":["Department of Information Engineering, Institute of Network Coding, The Chinese University of Hong Kong, Hong Kong","Centre for Perceptual and Interactive Intelligence Ltd., Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, Institute of Network Coding, The Chinese University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Centre for Perceptual and Interactive Intelligence Ltd., Hong Kong","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025342659"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":null,"apc_paid":null,"fwci":0.2761,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.53480053,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"68","issue":"7","first_page":"4201","last_page":"4223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9947999715805054,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9936000108718872,"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/zero","display_name":"Zero (linguistics)","score":0.5659787058830261},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5353743433952332},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5339310169219971},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.47958889603614807},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4640316963195801},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4581751525402069},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.4323018789291382},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4231809973716736},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.41484585404396057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37654343247413635},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3704580068588257},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34572285413742065},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.24430489540100098},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10807928442955017}],"concepts":[{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5659787058830261},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5353743433952332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5339310169219971},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.47958889603614807},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4640316963195801},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4581751525402069},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.4323018789291382},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4231809973716736},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41484585404396057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37654343247413635},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3704580068588257},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34572285413742065},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24430489540100098},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10807928442955017},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3155671","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3155671","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1506498270","https://openalex.org/W1915069679","https://openalex.org/W1987305997","https://openalex.org/W1993730784","https://openalex.org/W2057978375","https://openalex.org/W2065338886","https://openalex.org/W2077246013","https://openalex.org/W2078289947","https://openalex.org/W2094760650","https://openalex.org/W2099111195","https://openalex.org/W2105831729","https://openalex.org/W2106100363","https://openalex.org/W2106403318","https://openalex.org/W2122453827","https://openalex.org/W2123114258","https://openalex.org/W2137384791","https://openalex.org/W2149407563","https://openalex.org/W2160841597","https://openalex.org/W2164684058","https://openalex.org/W2182112064","https://openalex.org/W2742527365","https://openalex.org/W2755834150","https://openalex.org/W2801607032","https://openalex.org/W2914412789","https://openalex.org/W2953063683","https://openalex.org/W2964199397","https://openalex.org/W3080579097","https://openalex.org/W3098043476","https://openalex.org/W3101107983","https://openalex.org/W3123949163","https://openalex.org/W4300840296","https://openalex.org/W6630520024"],"related_works":["https://openalex.org/W3013650182","https://openalex.org/W4249605382","https://openalex.org/W4313491656","https://openalex.org/W2989283631","https://openalex.org/W2800717388","https://openalex.org/W2250701745","https://openalex.org/W2953266770","https://openalex.org/W4287625546","https://openalex.org/W2957129171","https://openalex.org/W2762831627"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"the":[3,8,48,55,58,61,76,79,82,94,97,100,110,119,124,129,134,161,174,182],"first":[4],"systematic":[5],"study":[6],"of":[7,12,24,47,60,78,81,96,99,140,166,168,191],"zero-error":[9,115,135],"capacity":[10,116,136],"regions":[11,117,137],"noisy":[13],"networks.":[14],"First,":[15],"we":[16,148],"consider":[17],"two":[18,32,41,49,106,130],"simple":[19],"such":[20],"networks,":[21],"each":[22,44],"consisting":[23],"a":[25,52,85,150,178],"stationary":[26],"memoryless":[27],"multiple":[28,197,200],"access":[29],"channel":[30,195],"with":[31,67,196],"binary":[33],"inputs":[34,80,98,198],"and":[35,57,84,132,155,158,199],"one":[36,194],"discrete":[37],"output.":[38],"There":[39],"are":[40,118],"users":[42,50],"in":[43],"network.":[45,101],"Each":[46],"transmits":[51],"message":[53],"through":[54],"network,":[56],"sink(s)":[59],"network":[62,180],"can":[63],"decode":[64],"both":[65],"messages":[66],"zero":[68],"error.":[69],"A":[70],"graph":[71,112,126,142,153],"is":[72,90],"used":[73,91],"to":[74,92,177],"represent":[75,93],"distinguishability":[77,95],"channel,":[83],"<italic":[86,162,183],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[87,163,184],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">graph":[88],"set</i>":[89],"We":[102,121,171],"show":[103],"that":[104],"for":[105,128,138],"networks":[107,131],"represented":[108],"by":[109],"same":[111],"set,":[113],"their":[114],"same.":[120],"list":[122],"all":[123],"possible":[125],"sets":[127],"determine":[133],"some":[139],"these":[141],"sets.":[143],"Based":[144],"on":[145],"this":[146],"result,":[147],"explore":[149],"relation":[151],"between":[152],"theory":[154],"set":[156],"theory,":[157],"then":[159],"redefine":[160],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">cancellative":[164],"pair":[165],"families":[167],"subsets</i>":[169],".":[170],"further":[172],"extend":[173],"problem":[175],"formulation":[176],"general":[179],"called":[181],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">parallel":[185],"network</i>":[186],",":[187],"which":[188],"may":[189],"consist":[190],"more":[192],"than":[193],"outputs.":[201]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}