{"id":"https://openalex.org/W2886134986","doi":"https://doi.org/10.1109/isit.2018.8437338","title":"On the Langberg-M\u00e9dard k-Unicast Conjecture with &lt;tex&gt;$k=3,4$&lt;/tex&gt;","display_name":"On the Langberg-M\u00e9dard k-Unicast Conjecture with &lt;tex&gt;$k=3,4$&lt;/tex&gt;","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2886134986","doi":"https://doi.org/10.1109/isit.2018.8437338","mag":"2886134986"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2018.8437338","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437338","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 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/A5102935428","display_name":"Kai Cai","orcid":"https://orcid.org/0000-0002-8798-8650"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Kai Cai","raw_affiliation_strings":["The University of Hong Kong"],"affiliations":[{"raw_affiliation_string":"The University of Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000081781","display_name":"Guangyue Han","orcid":"https://orcid.org/0000-0001-9895-5646"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guangyue Han","raw_affiliation_strings":["The University of Hong Kong"],"affiliations":[{"raw_affiliation_string":"The University of Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102935428"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":0.5536,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70070367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9829999804496765,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9682000279426575,"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":0.9423192739486694},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8273582458496094},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49364006519317627},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47063136100769043},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42099708318710327},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3316338360309601},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.18177765607833862},{"id":"https://openalex.org/keywords/multicast","display_name":"Multicast","score":0.06288805603981018}],"concepts":[{"id":"https://openalex.org/C11704745","wikidata":"https://www.wikidata.org/wiki/Q918337","display_name":"Unicast","level":3,"score":0.9423192739486694},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8273582458496094},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49364006519317627},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47063136100769043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42099708318710327},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3316338360309601},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.18177765607833862},{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.06288805603981018}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2018.8437338","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437338","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1679422160","https://openalex.org/W1978601678","https://openalex.org/W1982221487","https://openalex.org/W1988191034","https://openalex.org/W2117341422","https://openalex.org/W2121205191","https://openalex.org/W2164808802","https://openalex.org/W2325997012","https://openalex.org/W2340149117","https://openalex.org/W2508558984","https://openalex.org/W2517783573","https://openalex.org/W2609828883","https://openalex.org/W2767454305","https://openalex.org/W4210524419","https://openalex.org/W4285719527","https://openalex.org/W6726579379"],"related_works":["https://openalex.org/W2508558984","https://openalex.org/W4288633135","https://openalex.org/W3008817519","https://openalex.org/W2952300997","https://openalex.org/W2794998165","https://openalex.org/W2910872135","https://openalex.org/W2378130666","https://openalex.org/W2615656263","https://openalex.org/W2052662459","https://openalex.org/W1979597421"],"abstract_inverted_index":{"The":[0],"Langberg-M\u00e9dard":[1],"k-Unicast":[2],"Conjecture":[3],"states":[4],"that":[5,48],"for":[6,25],"any":[7],"strongly":[8],"reachable":[9],"k-pair":[10],"network,":[11],"there":[12],"exists":[13],"a":[14],"multi-flow":[15],"with":[16,30],"rate":[17,31],"(1,":[18],"1,":[19],"...,":[20,42],"1).":[21],"In":[22],"this":[23],"paper,":[24],"k=3,4,":[26],"we":[27,45],"construct":[28],"multi-flows":[29],"([11/12],":[32],"[11/12],...,":[33],"[11/12]),":[34],"which":[35],"improves":[36],"the":[37,54],"previous":[38],"result":[39],"([8/9],":[40],"[8/9],":[41],"[8/9]),":[43],"and":[44],"further":[46],"prove":[47],"our":[49],"constructions":[50],"are":[51],"optimal":[52],"within":[53],"proposed":[55],"framework.":[56]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
