{"id":"https://openalex.org/W2012280556","doi":"https://doi.org/10.1016/0166-218x(94)00058-l","title":"Explicit construction of graphs with an arbitrary large girth and of large size","display_name":"Explicit construction of graphs with an arbitrary large girth and of large size","publication_year":1995,"publication_date":"1995-06-01","ids":{"openalex":"https://openalex.org/W2012280556","doi":"https://doi.org/10.1016/0166-218x(94)00058-l","mag":"2012280556"},"language":"en","primary_location":{"id":"doi:10.1016/0166-218x(94)00058-l","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(94)00058-l","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","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/A5031529103","display_name":"Felix Lazebnik","orcid":null},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Felix Lazebnik","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA","Department of Mathematical Sciences University of Delaware, Newark, DE 19716, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Department of Mathematical Sciences University of Delaware, Newark, DE 19716, USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113014824","display_name":"V. A. Ustimenko","orcid":null},"institutions":[{"id":"https://openalex.org/I189238007","display_name":"Taras Shevchenko National University of Kyiv","ror":"https://ror.org/02aaqv166","country_code":"UA","type":"education","lineage":["https://openalex.org/I189238007"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Vasiliy A. Ustimenko","raw_affiliation_strings":["Department of Mathematics and Mechanics, Kiev State University, 6 Glushkov Prospect, Kiev-252127, Ukraine"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, Kiev State University, 6 Glushkov Prospect, Kiev-252127, Ukraine","institution_ids":["https://openalex.org/I189238007"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031529103"],"corresponding_institution_ids":["https://openalex.org/I86501945"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":4.5203,"has_fulltext":false,"cited_by_count":176,"citation_normalized_percentile":{"value":0.94779478,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"60","issue":"1-3","first_page":"275","last_page":"284"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":1.0,"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/T10849","display_name":"Finite Group Theory Research","score":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9987000226974487,"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/T11130","display_name":"Coding theory and cryptography","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8656280040740967},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8291126489639282},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6061385273933411},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.5900185704231262},{"id":"https://openalex.org/keywords/odd-graph","display_name":"Odd graph","score":0.5315943360328674},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5185418725013733},{"id":"https://openalex.org/keywords/girth","display_name":"Girth (graph theory)","score":0.505840539932251},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5050721764564514},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.460967481136322},{"id":"https://openalex.org/keywords/edge-transitive-graph","display_name":"Edge-transitive graph","score":0.45765742659568787},{"id":"https://openalex.org/keywords/foster-graph","display_name":"Foster graph","score":0.43531233072280884},{"id":"https://openalex.org/keywords/symmetric-graph","display_name":"Symmetric graph","score":0.4309369623661041},{"id":"https://openalex.org/keywords/triangle-free-graph","display_name":"Triangle-free graph","score":0.41356390714645386},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.3005498945713043},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.23477721214294434},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.19722768664360046},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.14696767926216125}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8656280040740967},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8291126489639282},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6061385273933411},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.5900185704231262},{"id":"https://openalex.org/C206815938","wikidata":"https://www.wikidata.org/wiki/Q7077445","display_name":"Odd graph","level":5,"score":0.5315943360328674},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5185418725013733},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.505840539932251},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5050721764564514},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.460967481136322},{"id":"https://openalex.org/C200597783","wikidata":"https://www.wikidata.org/wiki/Q4391289","display_name":"Edge-transitive graph","level":5,"score":0.45765742659568787},{"id":"https://openalex.org/C68996132","wikidata":"https://www.wikidata.org/wiki/Q3115485","display_name":"Foster graph","level":5,"score":0.43531233072280884},{"id":"https://openalex.org/C14201764","wikidata":"https://www.wikidata.org/wiki/Q1205074","display_name":"Symmetric graph","level":5,"score":0.4309369623661041},{"id":"https://openalex.org/C114727528","wikidata":"https://www.wikidata.org/wiki/Q7840044","display_name":"Triangle-free graph","level":5,"score":0.41356390714645386},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.3005498945713043},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.23477721214294434},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.19722768664360046},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.14696767926216125}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0166-218x(94)00058-l","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(94)00058-l","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W2939538","https://openalex.org/W181128013","https://openalex.org/W1495591881","https://openalex.org/W1510730180","https://openalex.org/W1560594658","https://openalex.org/W1583183878","https://openalex.org/W1987996179","https://openalex.org/W1991809067","https://openalex.org/W2011219060","https://openalex.org/W2021022635","https://openalex.org/W2035971565","https://openalex.org/W2037301891","https://openalex.org/W2049626643","https://openalex.org/W2050906361","https://openalex.org/W2054649237","https://openalex.org/W2073266670","https://openalex.org/W2138033161","https://openalex.org/W2745281314","https://openalex.org/W4235946010","https://openalex.org/W4237792779","https://openalex.org/W4298236575","https://openalex.org/W6600121459","https://openalex.org/W6605629443","https://openalex.org/W6633523893","https://openalex.org/W6826398138"],"related_works":["https://openalex.org/W4210604868","https://openalex.org/W755028051","https://openalex.org/W4206039268","https://openalex.org/W4280539597","https://openalex.org/W2382285921","https://openalex.org/W3094689971","https://openalex.org/W2156211557","https://openalex.org/W2045746955","https://openalex.org/W2391691019","https://openalex.org/W2760251987"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":17},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":13}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}