{"id":"https://openalex.org/W2287814470","doi":"https://doi.org/10.1007/s10878-015-9986-3","title":"Anti-forcing spectra of perfect matchings of graphs","display_name":"Anti-forcing spectra of perfect matchings of graphs","publication_year":2015,"publication_date":"2015-12-30","ids":{"openalex":"https://openalex.org/W2287814470","doi":"https://doi.org/10.1007/s10878-015-9986-3","mag":"2287814470"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-015-9986-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-015-9986-3","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/A5041702952","display_name":"Kai Deng","orcid":"https://orcid.org/0000-0003-0233-3442"},"institutions":[{"id":"https://openalex.org/I3019309368","display_name":"North Minzu University","ror":"https://ror.org/05xjevr11","country_code":"CN","type":"education","lineage":["https://openalex.org/I3019309368"]},{"id":"https://openalex.org/I4210152533","display_name":"Lanzhou University of Finance and Economics","ror":"https://ror.org/04v7yv031","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210152533"]},{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kai Deng","raw_affiliation_strings":["School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan, 750027, Ningxia, People\u2019s Republic of China","School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan, People\u2019s Republic of China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, Gansu, People\u2019s Republic of China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, People\u2019s Republic of China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, Gansu, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan, 750027, Ningxia, People\u2019s Republic of China","institution_ids":["https://openalex.org/I3019309368"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I3019309368"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, Gansu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210152533"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, Gansu, People's Republic of China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056609757","display_name":"Heping Zhang","orcid":"https://orcid.org/0000-0001-5385-6687"},"institutions":[{"id":"https://openalex.org/I4210152533","display_name":"Lanzhou University of Finance and Economics","ror":"https://ror.org/04v7yv031","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210152533"]},{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Heping Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, Gansu, People\u2019s Republic of China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, People\u2019s Republic of China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, Gansu, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, Gansu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210152533"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, Gansu, People's Republic of China","institution_ids":["https://openalex.org/I76214153"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041702952","https://openalex.org/A5056609757"],"corresponding_institution_ids":["https://openalex.org/I3019309368","https://openalex.org/I4210152533","https://openalex.org/I76214153"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.6385,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.94861589,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"33","issue":"2","first_page":"660","last_page":"680"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"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/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"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9987000226974487,"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":0.7948375940322876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7505009174346924},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7387285232543945},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.6100542545318604},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5476173758506775},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49923205375671387},{"id":"https://openalex.org/keywords/factor-critical-graph","display_name":"Factor-critical graph","score":0.46571826934814453},{"id":"https://openalex.org/keywords/perfect-power","display_name":"Perfect power","score":0.44855767488479614},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44630688428878784},{"id":"https://openalex.org/keywords/perfect-graph-theorem","display_name":"Perfect graph theorem","score":0.43020111322402954},{"id":"https://openalex.org/keywords/perfect-graph","display_name":"Perfect graph","score":0.42326176166534424},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.22242045402526855},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.10091090202331543},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.09056231379508972}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7948375940322876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7505009174346924},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7387285232543945},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.6100542545318604},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5476173758506775},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49923205375671387},{"id":"https://openalex.org/C36038622","wikidata":"https://www.wikidata.org/wiki/Q5428703","display_name":"Factor-critical graph","level":5,"score":0.46571826934814453},{"id":"https://openalex.org/C93446932","wikidata":"https://www.wikidata.org/wiki/Q1972803","display_name":"Perfect power","level":2,"score":0.44855767488479614},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44630688428878784},{"id":"https://openalex.org/C161487630","wikidata":"https://www.wikidata.org/wiki/Q2800071","display_name":"Perfect graph theorem","level":5,"score":0.43020111322402954},{"id":"https://openalex.org/C32972407","wikidata":"https://www.wikidata.org/wiki/Q1187620","display_name":"Perfect graph","level":5,"score":0.42326176166534424},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.22242045402526855},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.10091090202331543},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.09056231379508972},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10878-015-9986-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-015-9986-3","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:ir.lzu.edu.cn/:262010/180759","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/180759","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/395801","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/395801","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article (JA)"},{"id":"pmh:oai:RePEc:spr:jcomop:v:33:y:2017:i:2:d:10.1007_s10878-015-9986-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-015-9986-3","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/G8462370252","display_name":"\u56fe\u7684\u5339\u914d\u5f3a\u8feb\u4e0e\u5339\u914d\u963b\u788d\u95ee\u9898\u7814\u7a76","funder_award_id":"11371180","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":27,"referenced_works":["https://openalex.org/W566104198","https://openalex.org/W1488229411","https://openalex.org/W1988475301","https://openalex.org/W1988717536","https://openalex.org/W1988825590","https://openalex.org/W1991113119","https://openalex.org/W1999789113","https://openalex.org/W2000149507","https://openalex.org/W2005851739","https://openalex.org/W2037328180","https://openalex.org/W2052939479","https://openalex.org/W2056886763","https://openalex.org/W2073463908","https://openalex.org/W2081799004","https://openalex.org/W2084737762","https://openalex.org/W2087090178","https://openalex.org/W2090003163","https://openalex.org/W2130856473","https://openalex.org/W2155190380","https://openalex.org/W2157425599","https://openalex.org/W2165594803","https://openalex.org/W2181478339","https://openalex.org/W2184749016","https://openalex.org/W2373113715","https://openalex.org/W2401610261","https://openalex.org/W2577053083","https://openalex.org/W2964089109"],"related_works":["https://openalex.org/W2356906936","https://openalex.org/W1581916263","https://openalex.org/W2132353434","https://openalex.org/W3020996517","https://openalex.org/W2105838663","https://openalex.org/W2174595530","https://openalex.org/W2021058045","https://openalex.org/W2401632469","https://openalex.org/W2609475100","https://openalex.org/W1985703580"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
