{"id":"https://openalex.org/W4408967547","doi":"https://doi.org/10.1007/s00373-025-02914-9","title":"Extremal Graphs for the Union of Two Vertex-Disjoint Cliques","display_name":"Extremal Graphs for the Union of Two Vertex-Disjoint Cliques","publication_year":2025,"publication_date":"2025-03-26","ids":{"openalex":"https://openalex.org/W4408967547","doi":"https://doi.org/10.1007/s00373-025-02914-9"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-025-02914-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-025-02914-9","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/A5080950901","display_name":"Zhidan Luo","orcid":"https://orcid.org/0009-0005-6195-147X"},"institutions":[{"id":"https://openalex.org/I20942203","display_name":"Hainan University","ror":"https://ror.org/03q648j11","country_code":"CN","type":"education","lineage":["https://openalex.org/I20942203"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhidan Luo","raw_affiliation_strings":["School of Mathematics and Statistics, Hainan University, Haikou, 570228, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0009-0005-6195-147X","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Hainan University, Haikou, 570228, People\u2019s Republic of China","institution_ids":["https://openalex.org/I20942203"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080950901"],"corresponding_institution_ids":["https://openalex.org/I20942203"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09635075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9997000098228455,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9997000098228455,"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":0.9997000098228455,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8507272601127625},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8165053129196167},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6158069372177124},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.4978353977203369},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4559224247932434},{"id":"https://openalex.org/keywords/disjoint-union","display_name":"Disjoint union (topology)","score":0.4558407962322235},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.4102284908294678},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.34696537256240845},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.29544031620025635},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.16607528924942017}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8507272601127625},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8165053129196167},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6158069372177124},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.4978353977203369},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4559224247932434},{"id":"https://openalex.org/C7655956","wikidata":"https://www.wikidata.org/wiki/Q5282259","display_name":"Disjoint union (topology)","level":2,"score":0.4558407962322235},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.4102284908294678},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.34696537256240845},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.29544031620025635},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.16607528924942017}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-025-02914-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-025-02914-9","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":[],"awards":[{"id":"https://openalex.org/G5612209084","display_name":null,"funder_award_id":"12401449","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6540797079","display_name":null,"funder_award_id":"No. KYQD(ZR)-23155","funder_id":"https://openalex.org/F4320323370","funder_display_name":"Hainan University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323370","display_name":"Hainan University","ror":"https://ror.org/03q648j11"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1996106086","https://openalex.org/W2082072822","https://openalex.org/W2335703770","https://openalex.org/W3141776272","https://openalex.org/W4220906523","https://openalex.org/W4390490919","https://openalex.org/W4391121615","https://openalex.org/W4392180287","https://openalex.org/W4399749789"],"related_works":["https://openalex.org/W55187247","https://openalex.org/W2058834578","https://openalex.org/W1891636518","https://openalex.org/W4385588236","https://openalex.org/W264408731","https://openalex.org/W2073363580","https://openalex.org/W411819533","https://openalex.org/W4395069144","https://openalex.org/W2888394449","https://openalex.org/W2046263886"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}