{"id":"https://openalex.org/W2770015390","doi":"https://doi.org/10.1007/978-0-387-74759-0_271","title":"Hyperplane Arrangements in Optimization","display_name":"Hyperplane Arrangements in Optimization","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2770015390","doi":"https://doi.org/10.1007/978-0-387-74759-0_271","mag":"2770015390"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-74759-0_271","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_271","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","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/A5063808461","display_name":"P\u00e3nos M. Pardalos","orcid":"https://orcid.org/0000-0003-2824-101X"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]},{"id":"https://openalex.org/I4210089412","display_name":"Applied Optimization (United States)","ror":"https://ror.org/004b0n253","country_code":"US","type":"company","lineage":["https://openalex.org/I4210089412"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Panos M. Pardalos","raw_affiliation_strings":["Center for Applied Optim. Department Industrial and Systems Engineering, University Florida, Gainesville, USA","Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA"],"affiliations":[{"raw_affiliation_string":"Center for Applied Optim. Department Industrial and Systems Engineering, University Florida, Gainesville, USA","institution_ids":["https://openalex.org/I4210089412"]},{"raw_affiliation_string":"Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA","institution_ids":["https://openalex.org/I4210089412","https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063808461"],"corresponding_institution_ids":["https://openalex.org/I33213144","https://openalex.org/I4210089412"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.31413613,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1547","last_page":"1548"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.797357976436615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4278743267059326},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30970367789268494},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16035383939743042}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.797357976436615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4278743267059326},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30970367789268494},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16035383939743042}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-74759-0_271","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_271","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W377884864","https://openalex.org/W2061211758","https://openalex.org/W2120934134","https://openalex.org/W2490601706","https://openalex.org/W4300640952"],"related_works":["https://openalex.org/W2067732528","https://openalex.org/W1641727897","https://openalex.org/W2316556093","https://openalex.org/W2148606335","https://openalex.org/W2154346418","https://openalex.org/W2019207072","https://openalex.org/W2985447680","https://openalex.org/W2570499741","https://openalex.org/W2026998218","https://openalex.org/W2767298469"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}