{"id":"https://openalex.org/W152441072","doi":"https://doi.org/10.1007/978-1-4757-6015-6_8","title":"Semidefinite Programming Bounds for Extremal Graph Problems","display_name":"Semidefinite Programming Bounds for Extremal Graph Problems","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W152441072","doi":"https://doi.org/10.1007/978-1-4757-6015-6_8","mag":"152441072"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4757-6015-6_8","doi":"https://doi.org/10.1007/978-1-4757-6015-6_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4757-6015-6_8","pdf_url":null,"source":{"id":"https://openalex.org/S4210225340","display_name":"Nonconvex optimization and its applications","issn_l":"1571-568X","issn":["1571-568X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonconvex Optimization and Its Applications","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2050875740","display_name":"Nondifferentiable Optimization and Polynomial Problems"},"type":"book-chapter","is_traditional":true,"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/A5047650092","display_name":"N. Z. Shor","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"government","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I4210156878","display_name":"V.M. Glushkov Institute of Cybernetics","ror":"https://ror.org/05xmg2z40","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Naum Z. Shor","raw_affiliation_strings":["V.M. Glushkov Institute of Cybernetics, Ukrainian National Academy of Sciences, Kiev, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"V.M. Glushkov Institute of Cybernetics, Ukrainian National Academy of Sciences, Kiev, Ukraine","institution_ids":["https://openalex.org/I149851306","https://openalex.org/I4210156878"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047650092"],"corresponding_institution_ids":["https://openalex.org/I149851306","https://openalex.org/I4210156878"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"265","last_page":"298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9740999937057495,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9740999937057495,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.01600000075995922,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.0008999999845400453,"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/semidefinite-programming","display_name":"semidefinite programming","score":0.9399999976158142},{"id":"https://openalex.org/keywords/maximum-cut-problem","display_name":"max-cut problem","score":0.824999988079071},{"id":"https://openalex.org/keywords/extremal-graph-problems","display_name":"graph extremal problems","score":0.8989999890327454},{"id":"https://openalex.org/keywords/graph-cuts","display_name":"graph cuts","score":0.4269999861717224},{"id":"https://openalex.org/keywords/approximation-bounds","display_name":"approximation bounds","score":0.42800000309944153}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.749178946018219},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.5966057777404785},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5611570477485657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5290578603744507},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.5089716911315918},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5070197582244873},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49759581685066223},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.44920527935028076},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44194817543029785},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4059012532234192},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34536635875701904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.334034264087677},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4757-6015-6_8","doi":"https://doi.org/10.1007/978-1-4757-6015-6_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4757-6015-6_8","pdf_url":null,"source":{"id":"https://openalex.org/S4210225340","display_name":"Nonconvex optimization and its applications","issn_l":"1571-568X","issn":["1571-568X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonconvex Optimization and Its Applications","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7095525929","https://openalex.org/W2069154666","https://openalex.org/W579949368","https://openalex.org/W7043387112","https://openalex.org/W2383278422","https://openalex.org/W2342042006","https://openalex.org/W2003648292","https://openalex.org/W2622838906","https://openalex.org/W3110578096","https://openalex.org/W2132400628"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}
