{"id":"https://openalex.org/W2078675358","doi":"https://doi.org/10.1016/0012-365x(87)90114-2","title":"Critically (k, k)-connected graphs","display_name":"Critically (k, k)-connected graphs","publication_year":1987,"publication_date":"1987-08-01","ids":{"openalex":"https://openalex.org/W2078675358","doi":"https://doi.org/10.1016/0012-365x(87)90114-2","mag":"2078675358"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(87)90114-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(87)90114-2","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/A5035443911","display_name":"Kiyoshi Ando","orcid":"https://orcid.org/0000-0002-8849-4505"},"institutions":[{"id":"https://openalex.org/I201480613","display_name":"Tama University","ror":"https://ror.org/02gdq8g56","country_code":"JP","type":"education","lineage":["https://openalex.org/I201480613"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kiyoshi Ando","raw_affiliation_strings":["Nippon Ika University, 2-297 Kosugi, Nakahara-ku, Kawasaki, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nippon Ika University, 2-297 Kosugi, Nakahara-ku, Kawasaki, Japan","institution_ids":["https://openalex.org/I201480613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046767511","display_name":"Yoko Usami","orcid":null},"institutions":[{"id":"https://openalex.org/I114030911","display_name":"Otsuka (Japan)","ror":"https://ror.org/013k5y296","country_code":"JP","type":"company","lineage":["https://openalex.org/I114030911"]},{"id":"https://openalex.org/I26120043","display_name":"Ochanomizu University","ror":"https://ror.org/03599d813","country_code":"JP","type":"education","lineage":["https://openalex.org/I26120043"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoko Usami","raw_affiliation_strings":["Ochanomizu University, 2-1 Otsuka, Bunkyo-ku, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ochanomizu University, 2-1 Otsuka, Bunkyo-ku, Tokyo, Japan","institution_ids":["https://openalex.org/I114030911","https://openalex.org/I26120043"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.24649815,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"66","issue":"1-2","first_page":"15","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9991999864578247,"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":0.9991999864578247,"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/T10083","display_name":"Graphene research and applications","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11342","display_name":"Carbon and Quantum Dots Applications","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"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/combinatorics","display_name":"Combinatorics","score":0.8703365325927734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8487474322319031},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.6054551005363464},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6041683554649353},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.54147869348526},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.5116879940032959},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49405935406684875},{"id":"https://openalex.org/keywords/bound-graph","display_name":"Bound graph","score":0.4909122586250305},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.4323776960372925},{"id":"https://openalex.org/keywords/strongly-regular-graph","display_name":"Strongly regular graph","score":0.4206874370574951},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.23841702938079834},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.1562807261943817}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8703365325927734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8487474322319031},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.6054551005363464},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6041683554649353},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.54147869348526},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.5116879940032959},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49405935406684875},{"id":"https://openalex.org/C121134508","wikidata":"https://www.wikidata.org/wiki/Q4949882","display_name":"Bound graph","level":5,"score":0.4909122586250305},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.4323776960372925},{"id":"https://openalex.org/C133875400","wikidata":"https://www.wikidata.org/wiki/Q692823","display_name":"Strongly regular graph","level":5,"score":0.4206874370574951},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.23841702938079834},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.1562807261943817},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(87)90114-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(87)90114-2","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2003976693","https://openalex.org/W2067831865","https://openalex.org/W2072513384","https://openalex.org/W2084667353","https://openalex.org/W6651551258"],"related_works":["https://openalex.org/W2796606627","https://openalex.org/W1964592620","https://openalex.org/W4327904980","https://openalex.org/W2962791791","https://openalex.org/W2394373111","https://openalex.org/W2035294258","https://openalex.org/W2116401597","https://openalex.org/W4308002952","https://openalex.org/W2386716528","https://openalex.org/W3210644741"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}