{"id":"https://openalex.org/W2054649237","doi":"https://doi.org/10.1007/bf02579283","title":"Explicit constructions of graphs without short cycles and low density codes","display_name":"Explicit constructions of graphs without short cycles and low density codes","publication_year":1982,"publication_date":"1982-03-01","ids":{"openalex":"https://openalex.org/W2054649237","doi":"https://doi.org/10.1007/bf02579283","mag":"2054649237"},"language":"en","primary_location":{"id":"doi:10.1007/bf02579283","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579283","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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/A5109905437","display_name":"G. A. Margulis","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210097085","https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"G. A. Margulis","raw_affiliation_strings":["Institute for Problems of Information Transmission, 19 Yermolovoi Str., 103051, Moscow, U.S.S.R","Institute for Problems of Information Transmission, Moscow, U.S.S.R"],"affiliations":[{"raw_affiliation_string":"Institute for Problems of Information Transmission, 19 Yermolovoi Str., 103051, Moscow, U.S.S.R","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"Institute for Problems of Information Transmission, Moscow, U.S.S.R","institution_ids":["https://openalex.org/I4210107660"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109905437"],"corresponding_institution_ids":["https://openalex.org/I4210107660"],"apc_list":null,"apc_paid":null,"fwci":2.9608,"has_fulltext":false,"cited_by_count":310,"citation_normalized_percentile":{"value":0.91374383,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"2","issue":"1","first_page":"71","last_page":"78"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9976000189781189,"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/T10849","display_name":"Finite Group Theory Research","score":0.9947999715805054,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9024421572685242},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7779265642166138},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.5996795296669006},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47725316882133484},{"id":"https://openalex.org/keywords/girth","display_name":"Girth (graph theory)","score":0.47149795293807983},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4462265074253082},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.4275003671646118},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.16553908586502075}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9024421572685242},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7779265642166138},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.5996795296669006},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47725316882133484},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.47149795293807983},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4462265074253082},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.4275003671646118},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.16553908586502075},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02579283","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579283","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W560834836","https://openalex.org/W571298146","https://openalex.org/W1968525006","https://openalex.org/W2076597612","https://openalex.org/W2128765501","https://openalex.org/W2567304142","https://openalex.org/W2574387508","https://openalex.org/W3175367423","https://openalex.org/W4300188436","https://openalex.org/W4388288416"],"related_works":["https://openalex.org/W2949473755","https://openalex.org/W2953254115","https://openalex.org/W2919824599","https://openalex.org/W1982118869","https://openalex.org/W2028363955","https://openalex.org/W2397003135","https://openalex.org/W2117848356","https://openalex.org/W2043410679","https://openalex.org/W1970195683","https://openalex.org/W2014290730"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":14},{"year":2012,"cited_by_count":15}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
