{"id":"https://openalex.org/W1979376805","doi":"https://doi.org/10.1016/s0012-365x(98)00342-2","title":"(k, g)-cages are 3-connected","display_name":"(k, g)-cages are 3-connected","publication_year":1999,"publication_date":"1999-03-01","ids":{"openalex":"https://openalex.org/W1979376805","doi":"https://doi.org/10.1016/s0012-365x(98)00342-2","mag":"1979376805"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(98)00342-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(98)00342-2","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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 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/A5052989523","display_name":"Mike Daven","orcid":null},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mike Daven","raw_affiliation_strings":["Department of Discrete and Statistical Sciences, Auburn University, 120 Math Annex, Auburn, AL 36849-5307, USA"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, Auburn University, 120 Math Annex, Auburn, AL 36849-5307, USA","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091292004","display_name":"C. A. Rodger","orcid":null},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C.A. Rodger","raw_affiliation_strings":["Department of Discrete and Statistical Sciences, Auburn University, 120 Math Annex, Auburn, AL 36849-5307, USA"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, Auburn University, 120 Math Annex, Auburn, AL 36849-5307, USA","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091292004"],"corresponding_institution_ids":["https://openalex.org/I82497590"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.8096,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.7893294,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"199","issue":"1-3","first_page":"207","last_page":"215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998000264167786,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9952999949455261,"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"}},{"id":"https://openalex.org/T11419","display_name":"Supramolecular Self-Assembly in Materials","score":0.9628999829292297,"subfield":{"id":"https://openalex.org/subfields/2502","display_name":"Biomaterials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8591341376304626},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8220198154449463},{"id":"https://openalex.org/keywords/cage","display_name":"Cage","score":0.782152533531189},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7115223407745361},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5342776775360107},{"id":"https://openalex.org/keywords/girth","display_name":"Girth (graph theory)","score":0.4916141629219055},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46884262561798096}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8591341376304626},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8220198154449463},{"id":"https://openalex.org/C160272327","wikidata":"https://www.wikidata.org/wiki/Q841007","display_name":"Cage","level":2,"score":0.782152533531189},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7115223407745361},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5342776775360107},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.4916141629219055},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46884262561798096}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0012-365x(98)00342-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(98)00342-2","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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 Mathematics","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":9,"referenced_works":["https://openalex.org/W606008011","https://openalex.org/W1484040084","https://openalex.org/W2064965043","https://openalex.org/W2066957322","https://openalex.org/W2137347071","https://openalex.org/W2163963758","https://openalex.org/W2993858912","https://openalex.org/W4235572053","https://openalex.org/W4248484896"],"related_works":["https://openalex.org/W4211098594","https://openalex.org/W2120024554","https://openalex.org/W2017210895","https://openalex.org/W2095616489","https://openalex.org/W2950548585","https://openalex.org/W2048985609","https://openalex.org/W3133774926","https://openalex.org/W2136029993","https://openalex.org/W2002278576","https://openalex.org/W2323445714"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}