{"id":"https://openalex.org/W2055198385","doi":"https://doi.org/10.1007/s00373-007-0699-y","title":"Contractible Edges in a 4-Connected Graph with Vertices of Degree Greater Than Four","display_name":"Contractible Edges in a 4-Connected Graph with Vertices of Degree Greater Than Four","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2055198385","doi":"https://doi.org/10.1007/s00373-007-0699-y","mag":"2055198385"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-007-0699-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-007-0699-y","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","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":["Department of Information and Communication Engineering, The University of Electro-Communications, 1-5-1, Chofugaoka, Chofu-city, Tokyo, 182-8585, Japan","The University of Electro-Communications, Department of Information and Communication Engineering, 1-5-1, Chofugaoka, 182-8585, Chofu-city, Tokyo, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information and Communication Engineering, The University of Electro-Communications, 1-5-1, Chofugaoka, Chofu-city, Tokyo, 182-8585, Japan","institution_ids":["https://openalex.org/I20529979"]},{"raw_affiliation_string":"The University of Electro-Communications, Department of Information and Communication Engineering, 1-5-1, Chofugaoka, 182-8585, Chofu-city, Tokyo, Japan#TAB#","institution_ids":["https://openalex.org/I20529979"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061720168","display_name":"Yoshimi Egawa","orcid":null},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshimi Egawa","raw_affiliation_strings":["Department of Mathematical Information Science, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo, 162-8601, Japan","Tokyo University of Science, Department of Mathematical Information Science, 1-3 Kagurazaka, 162-8601, Tokyo, Shinjuku-ku, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Information Science, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo, 162-8601, Japan","institution_ids":["https://openalex.org/I161296585"]},{"raw_affiliation_string":"Tokyo University of Science, Department of Mathematical Information Science, 1-3 Kagurazaka, 162-8601, Tokyo, Shinjuku-ku, Japan#TAB#","institution_ids":["https://openalex.org/I161296585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.0857,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.78527577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"23","issue":"S1","first_page":"99","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9829000234603882,"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":0.9829000234603882,"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":0.9804999828338623,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8791386485099792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7990663647651672},{"id":"https://openalex.org/keywords/contractible-space","display_name":"Contractible space","score":0.6028071045875549},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5711586475372314},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5127073526382446},{"id":"https://openalex.org/keywords/vertex-connectivity","display_name":"Vertex connectivity","score":0.5054049491882324},{"id":"https://openalex.org/keywords/path-graph","display_name":"Path graph","score":0.4807322025299072},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4661627411842346},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4340662956237793},{"id":"https://openalex.org/keywords/bound-graph","display_name":"Bound graph","score":0.4271166920661926},{"id":"https://openalex.org/keywords/complement-graph","display_name":"Complement graph","score":0.4197726845741272},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.2865890562534332},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.1746886670589447},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0818152129650116}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8791386485099792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7990663647651672},{"id":"https://openalex.org/C169611556","wikidata":"https://www.wikidata.org/wiki/Q230689","display_name":"Contractible space","level":2,"score":0.6028071045875549},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5711586475372314},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5127073526382446},{"id":"https://openalex.org/C2983226441","wikidata":"https://www.wikidata.org/wiki/Q3115621","display_name":"Vertex connectivity","level":4,"score":0.5054049491882324},{"id":"https://openalex.org/C128067373","wikidata":"https://www.wikidata.org/wiki/Q1415372","display_name":"Path graph","level":5,"score":0.4807322025299072},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4661627411842346},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4340662956237793},{"id":"https://openalex.org/C121134508","wikidata":"https://www.wikidata.org/wiki/Q4949882","display_name":"Bound graph","level":5,"score":0.4271166920661926},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.4197726845741272},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.2865890562534332},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.1746886670589447},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0818152129650116},{"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/s00373-007-0699-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-007-0699-y","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","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":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W1971578995","https://openalex.org/W2057873207"],"related_works":["https://openalex.org/W4288436438","https://openalex.org/W4298388358","https://openalex.org/W2161439427","https://openalex.org/W3022348726","https://openalex.org/W4246526124","https://openalex.org/W1985474921","https://openalex.org/W2804416073","https://openalex.org/W2349332978","https://openalex.org/W2004791814","https://openalex.org/W3184483743"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}