{"id":"https://openalex.org/W2078289947","doi":"https://doi.org/10.1109/tit.1979.1055985","title":"On the Shannon capacity of a graph","display_name":"On the Shannon capacity of a graph","publication_year":1979,"publication_date":"1979-01-01","ids":{"openalex":"https://openalex.org/W2078289947","doi":"https://doi.org/10.1109/tit.1979.1055985","mag":"2078289947"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1979.1055985","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1979.1055985","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/A5067889485","display_name":"L\u00e1szl\u00f3 Lov\u00e1sz","orcid":"https://orcid.org/0000-0002-6242-5894"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"L. Lovasz","raw_affiliation_strings":["Bolyai Institute, Jozsef Attila University, Szeged, Hungary","Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ONT, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bolyai Institute, Jozsef Attila University, Szeged, Hungary","institution_ids":[]},{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ONT, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067889485"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":13.9801,"has_fulltext":false,"cited_by_count":1666,"citation_normalized_percentile":{"value":0.99215071,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"25","issue":"1","first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9994000196456909,"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/pentagon","display_name":"Pentagon","score":0.8027262687683105},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.6490899920463562},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5992984771728516},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5976161360740662},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5611065626144409},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.49716809391975403},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4774892032146454},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.4563366770744324},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.4124372601509094}],"concepts":[{"id":"https://openalex.org/C2779965921","wikidata":"https://www.wikidata.org/wiki/Q127840","display_name":"Pentagon","level":2,"score":0.8027262687683105},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.6490899920463562},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5992984771728516},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5976161360740662},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5611065626144409},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.49716809391975403},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4774892032146454},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.4563366770744324},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.4124372601509094},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1979.1055985","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1979.1055985","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":6,"referenced_works":["https://openalex.org/W1530753374","https://openalex.org/W2019935404","https://openalex.org/W2038488239","https://openalex.org/W2164684058","https://openalex.org/W2577446513","https://openalex.org/W3127549917"],"related_works":["https://openalex.org/W2381183723","https://openalex.org/W4302155387","https://openalex.org/W2949256963","https://openalex.org/W2545189445","https://openalex.org/W2115024785","https://openalex.org/W2949890955","https://openalex.org/W2085781584","https://openalex.org/W4289596368","https://openalex.org/W1543499813","https://openalex.org/W1678473343"],"abstract_inverted_index":{"It":[0],"is":[1,14,37],"proved":[2],"that":[3],"the":[4,9,22,41,47,60,67],"Shannon":[5],"zero-error":[6],"capacity":[7,23,42,48,61,71],"of":[8,24,53,62],"pentagon":[10],"is\\sqrt{5}.":[11],"The":[12],"method":[13],"then":[15],"generalized":[16],"to":[17],"obtain":[18],"upper":[19],"bounds":[20,40],"on":[21,59],"an":[25],"arbitrary":[26],"graph.":[27],"A":[28],"well-characterized,":[29],"and":[30,45,73,80],"in":[31,49],"a":[32,50,74,82],"sense":[33],"easily":[34],"computable,":[35],"function":[36],"introduced":[38],"which":[39],"from":[43],"above":[44],"equals":[46],"large":[51],"number":[52],"cases.":[54],"Several":[55],"results":[56],"are":[57],"obtained":[58],"special":[63],"graphs;":[64],"for":[65],"example,":[66],"Petersen":[68],"graph":[69,76],"has":[70,86],"four":[72],"self-complementary":[75],"with":[77,81],"n":[78],"points":[79],"vertex-transitive":[83],"automorphism":[84],"group":[85],"capacity\\sqrt{5}.":[87]},"counts_by_year":[{"year":2026,"cited_by_count":32},{"year":2025,"cited_by_count":79},{"year":2024,"cited_by_count":53},{"year":2023,"cited_by_count":55},{"year":2022,"cited_by_count":69},{"year":2021,"cited_by_count":70},{"year":2020,"cited_by_count":82},{"year":2019,"cited_by_count":82},{"year":2018,"cited_by_count":63},{"year":2017,"cited_by_count":58},{"year":2016,"cited_by_count":67},{"year":2015,"cited_by_count":74},{"year":2014,"cited_by_count":86},{"year":2013,"cited_by_count":77},{"year":2012,"cited_by_count":59}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
