{"id":"https://openalex.org/W2026886508","doi":"https://doi.org/10.1007/s00373-014-1416-2","title":"An Extension of the Chv\u00e1tal\u2013Erd\u0151s Theorem: Counting the Number of Maximum Independent Sets","display_name":"An Extension of the Chv\u00e1tal\u2013Erd\u0151s Theorem: Counting the Number of Maximum Independent Sets","publication_year":2014,"publication_date":"2014-04-19","ids":{"openalex":"https://openalex.org/W2026886508","doi":"https://doi.org/10.1007/s00373-014-1416-2","mag":"2026886508"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-014-1416-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-014-1416-2","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/A5042737832","display_name":"Guantao Chen","orcid":"https://orcid.org/0000-0002-3118-6632"},"institutions":[{"id":"https://openalex.org/I181565077","display_name":"Georgia State University","ror":"https://ror.org/03qt6ba18","country_code":"US","type":"education","lineage":["https://openalex.org/I181565077"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guantao Chen","raw_affiliation_strings":["Department of Mathematics and Statistics, Georgia State University, Atlanta, GA, 30303, USA","Department of Mathematics and Statistics, Georgia State University, Atlanta, USA 30303#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Georgia State University, Atlanta, GA, 30303, USA","institution_ids":["https://openalex.org/I181565077"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Georgia State University, Atlanta, USA 30303#TAB#","institution_ids":["https://openalex.org/I181565077"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074796584","display_name":"Yinkui Li","orcid":"https://orcid.org/0000-0002-1809-782X"},"institutions":[{"id":"https://openalex.org/I290007724","display_name":"Qinghai University for Nationalities","ror":"https://ror.org/01e7csr82","country_code":"CN","type":"education","lineage":["https://openalex.org/I290007724"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yinkui Li","raw_affiliation_strings":["Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, 810007, People\u2019s Republic of China","Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, People's Republic of China 810007#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, 810007, People\u2019s Republic of China","institution_ids":["https://openalex.org/I290007724"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, People's Republic of China 810007#TAB#","institution_ids":["https://openalex.org/I290007724"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050946162","display_name":"Haicheng Ma","orcid":"https://orcid.org/0000-0002-5503-4668"},"institutions":[{"id":"https://openalex.org/I290007724","display_name":"Qinghai University for Nationalities","ror":"https://ror.org/01e7csr82","country_code":"CN","type":"education","lineage":["https://openalex.org/I290007724"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haicheng Ma","raw_affiliation_strings":["Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, 810007, People\u2019s Republic of China","Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, People's Republic of China 810007#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, 810007, People\u2019s Republic of China","institution_ids":["https://openalex.org/I290007724"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, People's Republic of China 810007#TAB#","institution_ids":["https://openalex.org/I290007724"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034560014","display_name":"Tingzeng Wu","orcid":"https://orcid.org/0000-0003-2488-9775"},"institutions":[{"id":"https://openalex.org/I290007724","display_name":"Qinghai University for Nationalities","ror":"https://ror.org/01e7csr82","country_code":"CN","type":"education","lineage":["https://openalex.org/I290007724"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingzeng Wu","raw_affiliation_strings":["Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, 810007, People\u2019s Republic of China","Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, People's Republic of China 810007#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, 810007, People\u2019s Republic of China","institution_ids":["https://openalex.org/I290007724"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Qinghai University for Nationalities, Xining, People's Republic of China 810007#TAB#","institution_ids":["https://openalex.org/I290007724"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031762495","display_name":"Liming Xiong","orcid":"https://orcid.org/0000-0002-3091-3252"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liming Xiong","raw_affiliation_strings":["School of Mathematics, Beijing Institute of Technology, Beijing, 100081, People\u2019s Republic of China","School of Mathematics, Beijing Institute of Technology, Beijing , People's Republic of China 100081#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Beijing Institute of Technology, Beijing, 100081, People\u2019s Republic of China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"School of Mathematics, Beijing Institute of Technology, Beijing , People's Republic of China 100081#TAB#","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031762495"],"corresponding_institution_ids":["https://openalex.org/I125839683"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.09809105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"31","issue":"4","first_page":"885","last_page":"896"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9990000128746033,"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":0.9990000128746033,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.998199999332428,"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":0.9976999759674072,"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":0.8533524870872498},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7792571783065796},{"id":"https://openalex.org/keywords/kappa","display_name":"Kappa","score":0.6955465078353882},{"id":"https://openalex.org/keywords/independence-number","display_name":"Independence number","score":0.5985329151153564},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.49557483196258545},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48765385150909424},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.45817089080810547},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.42505115270614624},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36411046981811523},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1117490828037262},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05521112680435181}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8533524870872498},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7792571783065796},{"id":"https://openalex.org/C2778724333","wikidata":"https://www.wikidata.org/wiki/Q14401","display_name":"Kappa","level":2,"score":0.6955465078353882},{"id":"https://openalex.org/C2984853995","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independence number","level":3,"score":0.5985329151153564},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.49557483196258545},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48765385150909424},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.45817089080810547},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.42505115270614624},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36411046981811523},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1117490828037262},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05521112680435181},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-014-1416-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-014-1416-2","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1479863711","https://openalex.org/W1597085979","https://openalex.org/W1796505807","https://openalex.org/W1999499473","https://openalex.org/W2018575973","https://openalex.org/W2031299486","https://openalex.org/W2032096410","https://openalex.org/W2042657911","https://openalex.org/W2069905179","https://openalex.org/W2097294316","https://openalex.org/W2103673399","https://openalex.org/W2157627899","https://openalex.org/W3141776272","https://openalex.org/W6632526476"],"related_works":["https://openalex.org/W2058438338","https://openalex.org/W1588687972","https://openalex.org/W1992725426","https://openalex.org/W2795626188","https://openalex.org/W2169450198","https://openalex.org/W1979242696","https://openalex.org/W2008247080","https://openalex.org/W2950269096","https://openalex.org/W2018575973","https://openalex.org/W4250118050"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
