{"id":"https://openalex.org/W3167357745","doi":"https://doi.org/10.1007/s10878-021-00766-6","title":"A note on maximum fractional matchings of graphs","display_name":"A note on maximum fractional matchings of graphs","publication_year":2021,"publication_date":"2021-06-07","ids":{"openalex":"https://openalex.org/W3167357745","doi":"https://doi.org/10.1007/s10878-021-00766-6","mag":"3167357745"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-021-00766-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-021-00766-6","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","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/A5051268709","display_name":"Tianlong Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianlong Ma","raw_affiliation_strings":["School of Mathematical Sciences, Xiamen University, Xiamen, 361005, Fujian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Xiamen University, Xiamen, 361005, Fujian, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069246449","display_name":"Eddie Cheng","orcid":"https://orcid.org/0000-0003-4526-7983"},"institutions":[{"id":"https://openalex.org/I177721651","display_name":"Oakland University","ror":"https://ror.org/01ythxj32","country_code":"US","type":"education","lineage":["https://openalex.org/I177721651"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eddie Cheng","raw_affiliation_strings":["Department of Mathematics and Statistics, Oakland University, Rochester, MI, 48309, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Oakland University, Rochester, MI, 48309, USA","institution_ids":["https://openalex.org/I177721651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103286474","display_name":"Yaping Mao","orcid":"https://orcid.org/0000-0001-9134-237X"},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yaping Mao","raw_affiliation_strings":["Academy of Plateau Science and Sustainability, Xining, 810008, Qinghai, China","Department of Mathematics, Qinghai Normal University, Xining, 810008, Qinghai, China"],"raw_orcid":"https://orcid.org/0000-0001-9134-237X","affiliations":[{"raw_affiliation_string":"Academy of Plateau Science and Sustainability, Xining, 810008, Qinghai, China","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Qinghai Normal University, Xining, 810008, Qinghai, China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007400451","display_name":"Xu Wang","orcid":"https://orcid.org/0000-0002-7027-4213"},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Wang","raw_affiliation_strings":["School of Computer, Qinghai Normal University, Xining, 810008, Qinghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer, Qinghai Normal University, Xining, 810008, Qinghai, China","institution_ids":["https://openalex.org/I20616075"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103286474"],"corresponding_institution_ids":["https://openalex.org/I20616075"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.1448,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49265905,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"43","issue":"1","first_page":"253","last_page":"264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9976999759674072,"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":0.9976999759674072,"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/T11476","display_name":"Graph theory and applications","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9965000152587891,"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/combinatorics","display_name":"Combinatorics","score":0.7869524955749512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7523908019065857},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.7341170907020569},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6344422101974487},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6137363314628601},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5903202891349792},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4693008065223694},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.430726021528244},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.42750316858291626},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11774536967277527},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09839481115341187}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7869524955749512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7523908019065857},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.7341170907020569},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6344422101974487},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6137363314628601},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5903202891349792},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4693008065223694},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.430726021528244},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.42750316858291626},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11774536967277527},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09839481115341187},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10878-021-00766-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-021-00766-6","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:43:y:2022:i:1:d:10.1007_s10878-021-00766-6","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-021-00766-6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6297067728","display_name":"\u62c9\u59c6\u9f50\u7406\u8bba\u548c\u52a0\u83b1-\u62c9\u59c6\u9f50\u6570\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"12061059","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1561272249","https://openalex.org/W1964210575","https://openalex.org/W1985061810","https://openalex.org/W2021290577","https://openalex.org/W2169078387","https://openalex.org/W2490805901","https://openalex.org/W2611093227","https://openalex.org/W2852843876","https://openalex.org/W3015604112","https://openalex.org/W4232896595"],"related_works":["https://openalex.org/W2567825307","https://openalex.org/W4295762832","https://openalex.org/W1592682627","https://openalex.org/W2785998768","https://openalex.org/W2945016732","https://openalex.org/W2371352078","https://openalex.org/W2362975861","https://openalex.org/W2054458431","https://openalex.org/W2804963084","https://openalex.org/W4366733366"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}