{"id":"https://openalex.org/W1570337953","doi":"https://doi.org/10.1007/978-3-540-28647-9_72","title":"An Algorithm Based on Hopfield Network Learning for Minimum Vertex Cover Problem","display_name":"An Algorithm Based on Hopfield Network Learning for Minimum Vertex Cover Problem","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1570337953","doi":"https://doi.org/10.1007/978-3-540-28647-9_72","mag":"1570337953"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-28647-9_72","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-28647-9_72","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5042100389","display_name":"Xiaoming Chen","orcid":"https://orcid.org/0000-0003-3151-1690"},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]},{"id":"https://openalex.org/I157507598","display_name":"Shenyang University of Technology","ror":"https://ror.org/00d7f8730","country_code":"CN","type":"education","lineage":["https://openalex.org/I157507598"]}],"countries":["CN","JP"],"is_corresponding":true,"raw_author_name":"Xiaoming Chen","raw_affiliation_strings":["Faculty of Engineering, Toyama University, Toyama, Japan","Faculty of Information, ShenYang University of Technology, Shenyang, China","Shenyang University of Technology","Toyama University"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama University, Toyama, Japan","institution_ids":["https://openalex.org/I42766147"]},{"raw_affiliation_string":"Faculty of Information, ShenYang University of Technology, Shenyang, China","institution_ids":["https://openalex.org/I157507598"]},{"raw_affiliation_string":"Shenyang University of Technology","institution_ids":["https://openalex.org/I157507598"]},{"raw_affiliation_string":"Toyama University","institution_ids":["https://openalex.org/I42766147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100704278","display_name":"Zheng Tang","orcid":"https://orcid.org/0000-0002-6543-7444"},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Zheng Tang","raw_affiliation_strings":["Faculty of Engineering, Toyama University, Toyama, Japan","[Toyama University]"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama University, Toyama, Japan","institution_ids":["https://openalex.org/I42766147"]},{"raw_affiliation_string":"[Toyama University]","institution_ids":["https://openalex.org/I42766147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086235570","display_name":"Xin-Shun Xu","orcid":"https://orcid.org/0000-0001-9972-7370"},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Xinshun Xu","raw_affiliation_strings":["Faculty of Engineering, Toyama University, Toyama, Japan","[Toyama University]"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama University, Toyama, Japan","institution_ids":["https://openalex.org/I42766147"]},{"raw_affiliation_string":"[Toyama University]","institution_ids":["https://openalex.org/I42766147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103924823","display_name":"Songsong Li","orcid":"https://orcid.org/0000-0003-1690-8016"},"institutions":[{"id":"https://openalex.org/I63216439","display_name":"Toyama Prefectural University","ror":"https://ror.org/03xgh2v50","country_code":"JP","type":"education","lineage":["https://openalex.org/I63216439"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Songsong Li","raw_affiliation_strings":["Faculty of Engineering, Toyama Prefectural University, Toyama, Japan","Toyama Prefectural University"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama Prefectural University, Toyama, Japan","institution_ids":["https://openalex.org/I63216439"]},{"raw_affiliation_string":"Toyama Prefectural University","institution_ids":["https://openalex.org/I63216439"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110204769","display_name":"Guangpu Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Guangpu Xia","raw_affiliation_strings":["Faculty of Engineering, Toyama University, Toyama, Japan","[Toyama University]"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama University, Toyama, Japan","institution_ids":["https://openalex.org/I42766147"]},{"raw_affiliation_string":"[Toyama University]","institution_ids":["https://openalex.org/I42766147"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101698803","display_name":"Jiahai Wang","orcid":"https://orcid.org/0000-0002-6961-7813"},"institutions":[{"id":"https://openalex.org/I42766147","display_name":"University of Toyama","ror":"https://ror.org/0445phv87","country_code":"JP","type":"education","lineage":["https://openalex.org/I42766147"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jiahai Wang","raw_affiliation_strings":["Faculty of Engineering, Toyama University, Toyama, Japan","[Toyama University]"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Toyama University, Toyama, Japan","institution_ids":["https://openalex.org/I42766147"]},{"raw_affiliation_string":"[Toyama University]","institution_ids":["https://openalex.org/I42766147"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5042100389"],"corresponding_institution_ids":["https://openalex.org/I157507598","https://openalex.org/I42766147"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2275,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.53582659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"430","last_page":"435"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T13832","display_name":"Advanced Decision-Making Techniques","score":0.9620000123977661,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9613000154495239,"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/vertex-cover","display_name":"Vertex cover","score":0.8147552013397217},{"id":"https://openalex.org/keywords/hopfield-network","display_name":"Hopfield network","score":0.8102588057518005},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.698488712310791},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.6080500483512878},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6013448238372803},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5447219014167786},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5274294018745422},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5184211730957031},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4732188284397125},{"id":"https://openalex.org/keywords/edge-cover","display_name":"Edge cover","score":0.4272118806838989},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4220961034297943},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.30289608240127563},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2533237934112549},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.2514462471008301},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.20523130893707275}],"concepts":[{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.8147552013397217},{"id":"https://openalex.org/C46421273","wikidata":"https://www.wikidata.org/wiki/Q1407668","display_name":"Hopfield network","level":3,"score":0.8102588057518005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.698488712310791},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.6080500483512878},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6013448238372803},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5447219014167786},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5274294018745422},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5184211730957031},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4732188284397125},{"id":"https://openalex.org/C17762858","wikidata":"https://www.wikidata.org/wiki/Q594001","display_name":"Edge cover","level":3,"score":0.4272118806838989},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4220961034297943},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.30289608240127563},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2533237934112549},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.2514462471008301},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.20523130893707275},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","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},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-28647-9_72","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-28647-9_72","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7400000095367432,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W364743613","https://openalex.org/W1597286183","https://openalex.org/W2007979101","https://openalex.org/W2061513598","https://openalex.org/W2066356146","https://openalex.org/W2093157849","https://openalex.org/W2401610261","https://openalex.org/W2407816450"],"related_works":["https://openalex.org/W2036594069","https://openalex.org/W4244658307","https://openalex.org/W2156896570","https://openalex.org/W2949255922","https://openalex.org/W2038655901","https://openalex.org/W4241472005","https://openalex.org/W1627181101","https://openalex.org/W2043560626","https://openalex.org/W1558145674","https://openalex.org/W2082311753"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
