{"id":"https://openalex.org/W2290850377","doi":"https://doi.org/10.1023/a:1027305419461","title":"On Inverse Problems of Optimum Perfect Matching","display_name":"On Inverse Problems of Optimum Perfect Matching","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W2290850377","doi":"https://doi.org/10.1023/a:1027305419461","mag":"2290850377"},"language":"en","primary_location":{"id":"doi:10.1023/a:1027305419461","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1027305419461","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/A5086328631","display_name":"Zhenhong Liu","orcid":"https://orcid.org/0000-0002-8026-9629"},"institutions":[{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenhong Liu","raw_affiliation_strings":["Institute of Systems Science, Academia Sinica, Beijing, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Academia Sinica, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I4210120485"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100442199","display_name":"Jianzhong Zhang","orcid":"https://orcid.org/0000-0001-7056-8206"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jianzhong Zhang","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.728,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.73968508,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"7","issue":"3","first_page":"215","last_page":"228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9233999848365784,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9233999848365784,"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":0.8021767139434814},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6963448524475098},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6745376586914062},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6201894879341125},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6111109256744385},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5500527620315552},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5472500324249268},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5005226135253906},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.45468616485595703},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3953370749950409},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2366836667060852},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21500033140182495}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8021767139434814},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6963448524475098},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6745376586914062},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6201894879341125},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6111109256744385},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5500527620315552},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5472500324249268},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5005226135253906},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.45468616485595703},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3953370749950409},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2366836667060852},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21500033140182495},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1023/a:1027305419461","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1027305419461","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:7:y:2003:i:3:d:10.1023_a:1027305419461","is_oa":false,"landing_page_url":"http://link.springer.com/10.1023/A:1027305419461","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1500474015","https://openalex.org/W1507183619","https://openalex.org/W1570195365","https://openalex.org/W1809557030","https://openalex.org/W1965702747","https://openalex.org/W1966229055","https://openalex.org/W1971863547","https://openalex.org/W1980021274","https://openalex.org/W1986946117","https://openalex.org/W1994443503","https://openalex.org/W2002305755","https://openalex.org/W2002385933","https://openalex.org/W2003486810","https://openalex.org/W2019571312","https://openalex.org/W2021388365","https://openalex.org/W2027482741","https://openalex.org/W2047329156","https://openalex.org/W2048652909","https://openalex.org/W2053913299","https://openalex.org/W2083358979","https://openalex.org/W2106018314","https://openalex.org/W2125690626","https://openalex.org/W2137212783","https://openalex.org/W2327315803","https://openalex.org/W2911796152"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2372768926","https://openalex.org/W2999799752","https://openalex.org/W2151412766","https://openalex.org/W103840660","https://openalex.org/W4301055422","https://openalex.org/W2408555533"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}