{"id":"https://openalex.org/W2037740232","doi":"https://doi.org/10.1016/s1571-0653(04)00345-2","title":"Vertices of degree 6 in a 6-contraction critical graph","display_name":"Vertices of degree 6 in a 6-contraction critical graph","publication_year":2001,"publication_date":"2001-11-01","ids":{"openalex":"https://openalex.org/W2037740232","doi":"https://doi.org/10.1016/s1571-0653(04)00345-2","mag":"2037740232"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0653(04)00345-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s1571-0653(04)00345-2","pdf_url":null,"source":{"id":"https://openalex.org/S902237881","display_name":"Electronic Notes in Discrete Mathematics","issn_l":"1571-0653","issn":["1571-0653"],"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":"Electronic Notes in 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/I20529979","display_name":"University of Electro-Communications","ror":"https://ror.org/02x73b849","country_code":"JP","type":"education","lineage":["https://openalex.org/I20529979"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kiyoshi Ando","raw_affiliation_strings":["The University of Electro-Communications, Japan","The Univ. of Electro-Communications (Japan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Electro-Communications, Japan","institution_ids":["https://openalex.org/I20529979"]},{"raw_affiliation_string":"The Univ. of Electro-Communications (Japan)","institution_ids":["https://openalex.org/I20529979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102871447","display_name":"Atsushi Kaneko","orcid":"https://orcid.org/0000-0001-9558-2661"},"institutions":[{"id":"https://openalex.org/I116465919","display_name":"Kogakuin University","ror":"https://ror.org/01wc2tq75","country_code":"JP","type":"education","lineage":["https://openalex.org/I116465919"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Atsushi Kaneko","raw_affiliation_strings":["Kogakuin University, Japan","Kogakuin Univ, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kogakuin University, Japan","institution_ids":["https://openalex.org/I116465919"]},{"raw_affiliation_string":"Kogakuin Univ, Japan","institution_ids":["https://openalex.org/I116465919"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008961593","display_name":"Ken\u2010ichi Kawarabayashi","orcid":"https://orcid.org/0000-0001-6056-4287"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ken-ichi Kawarabayashi","raw_affiliation_strings":["Keio University, Japan","(Keio University, Japan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Keio University, Japan","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"(Keio University, Japan)","institution_ids":["https://openalex.org/I203951103"]}]}],"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":0,"citation_normalized_percentile":{"value":0.15993672,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":null,"first_page":"2","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9991000294685364,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9950000047683716,"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/edge-contraction","display_name":"Edge contraction","score":0.7661774754524231},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7220582962036133},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7086089253425598},{"id":"https://openalex.org/keywords/wheel-graph","display_name":"Wheel graph","score":0.4833228588104248},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4791921377182007},{"id":"https://openalex.org/keywords/complement-graph","display_name":"Complement graph","score":0.42946210503578186},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4289226233959198},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.3504461646080017},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.34344667196273804},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.3406316936016083}],"concepts":[{"id":"https://openalex.org/C204562854","wikidata":"https://www.wikidata.org/wiki/Q1397646","display_name":"Edge contraction","level":5,"score":0.7661774754524231},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7220582962036133},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7086089253425598},{"id":"https://openalex.org/C148364342","wikidata":"https://www.wikidata.org/wiki/Q948887","display_name":"Wheel graph","level":5,"score":0.4833228588104248},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4791921377182007},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.42946210503578186},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4289226233959198},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.3504461646080017},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.34344667196273804},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.3406316936016083}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0653(04)00345-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s1571-0653(04)00345-2","pdf_url":null,"source":{"id":"https://openalex.org/S902237881","display_name":"Electronic Notes in Discrete Mathematics","issn_l":"1571-0653","issn":["1571-0653"],"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":"Electronic Notes in 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":3,"referenced_works":["https://openalex.org/W1516768651","https://openalex.org/W1971578995","https://openalex.org/W2057873207"],"related_works":["https://openalex.org/W2982283786","https://openalex.org/W4298388358","https://openalex.org/W2611288326","https://openalex.org/W2278094798","https://openalex.org/W2954009223","https://openalex.org/W4309222715","https://openalex.org/W2900680118","https://openalex.org/W4366963000","https://openalex.org/W2099597926","https://openalex.org/W4384692582"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
