{"id":"https://openalex.org/W1922524331","doi":"https://doi.org/10.1109/isit.2015.7282479","title":"On an equivalence of the reduction of k-unicast to 2-unicast capacity and the edge removal property","display_name":"On an equivalence of the reduction of k-unicast to 2-unicast capacity and the edge removal property","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1922524331","doi":"https://doi.org/10.1109/isit.2015.7282479","mag":"1922524331"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282479","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282479","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5023164395","display_name":"Ming Fai Wong","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ming Fai Wong","raw_affiliation_strings":["California Institute of Technology","California institute of technology, USA"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California institute of technology, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001054791","display_name":"Michelle Effros","orcid":"https://orcid.org/0000-0003-3757-0675"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michelle Effros","raw_affiliation_strings":["California Institute of Technology","California institute of technology, USA"],"affiliations":[{"raw_affiliation_string":"California Institute of Technology","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"California institute of technology, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011741113","display_name":"Michael Langberg","orcid":"https://orcid.org/0000-0002-7470-0718"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Langberg","raw_affiliation_strings":["State University of New York at Buffalo","State University of New York at Buffalo, USA"],"affiliations":[{"raw_affiliation_string":"State University of New York at Buffalo","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"State University of New York at Buffalo, USA","institution_ids":["https://openalex.org/I63190737"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023164395"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":1.3993,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.83684851,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"371","last_page":"375"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9718999862670898,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9599999785423279,"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/unicast","display_name":"Unicast","score":0.966585636138916},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.8195300102233887},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6873812675476074},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.6286632418632507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5167438387870789},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5020160675048828},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.49356067180633545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41596513986587524},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4071354269981384},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34798792004585266},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.32530221343040466},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.24311015009880066},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21614140272140503},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13339337706565857},{"id":"https://openalex.org/keywords/multicast","display_name":"Multicast","score":0.07979199290275574}],"concepts":[{"id":"https://openalex.org/C11704745","wikidata":"https://www.wikidata.org/wiki/Q918337","display_name":"Unicast","level":3,"score":0.966585636138916},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.8195300102233887},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6873812675476074},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.6286632418632507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5167438387870789},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5020160675048828},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.49356067180633545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41596513986587524},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4071354269981384},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34798792004585266},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32530221343040466},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.24311015009880066},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21614140272140503},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13339337706565857},{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.07979199290275574},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2015.7282479","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282479","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:authors.library.caltech.edu:60804","is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/60804/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1576471153","https://openalex.org/W1984595105","https://openalex.org/W2013802416","https://openalex.org/W2033965051","https://openalex.org/W2043501850","https://openalex.org/W2048235391","https://openalex.org/W2052662459","https://openalex.org/W2055891944","https://openalex.org/W2088944705","https://openalex.org/W2099111195","https://openalex.org/W2100312180","https://openalex.org/W2120892086","https://openalex.org/W2138928022","https://openalex.org/W2150284816"],"related_works":["https://openalex.org/W2508558984","https://openalex.org/W4288633135","https://openalex.org/W2952300997","https://openalex.org/W2910872135","https://openalex.org/W2794998165","https://openalex.org/W2378130666","https://openalex.org/W2615656263","https://openalex.org/W3008817519","https://openalex.org/W2052662459","https://openalex.org/W2363154745"],"abstract_inverted_index":{"In":[0],"recent":[1],"work,":[2],"Kamath":[3,57],"et":[4,58],"al.":[5,59],"show":[6,75,97,122],"that":[7,28,41,105,123],"network":[8,14,17,80],"code":[9,18,69],"design":[10,19,70],"for":[11,20,67,149],"any":[12],"k-unicast":[13,126],"reduces":[15,128],"to":[16,74,96,129],"a":[21],"related":[22],"2-unicast":[23,132],"network.":[24],"The":[25,61,87],"proof":[26],"assumes":[27],"codes":[29],"achieve":[30],"their":[31],"desired":[32],"rates":[33,84],"precisely":[34],"(rather":[35],"than":[36],"approaching":[37],"them":[38],"asymptotically)":[39],"and":[40,138,158],"error":[42,106],"probability":[43,107],"equals":[44],"zero.":[45,113],"We":[46],"study":[47],"two":[48],"questions":[49],"posed":[50],"in":[51,78,100],"but":[52],"left":[53],"unanswered":[54],"by":[55],"the":[56,65,91,125,131,141],"paper.":[60],"first":[62],"asks":[63,89],"whether":[64,90],"reduction":[66,92,136],"0-error":[68,79,157],"can":[71,93],"be":[72,94],"extended":[73],"an":[76,98],"equivalence":[77,99,153],"capacity,":[81,102],"which":[82,103],"includes":[83],"approached":[85],"asymptotically.":[86],"second":[88],"generalized":[95],"Shannon":[101],"requires":[104],"approach":[108],"(but":[109],"not":[110,117],"necessarily":[111],"hit)":[112],"While":[114],"we":[115,121],"do":[116],"solve":[118],"these":[119],"questions,":[120],"finding":[124,130],"capacity":[127,133],"under":[134,155],"this":[135],"if":[137,140],"only":[139],"so":[142],"called":[143],"\u201cedge":[144],"removal":[145],"statement\u201d":[146],"is":[147],"true":[148],"all":[150],"networks.":[151],"This":[152],"holds":[154],"both":[156],"asymptotic":[159],"notions":[160],"of":[161],"reliability.":[162]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2016,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}