{"id":"https://openalex.org/W2054787689","doi":"https://doi.org/10.1137/s0097539792241928","title":"Weighted Multidimensional Search and Its Application to Convex Optimization","display_name":"Weighted Multidimensional Search and Its Application to Convex Optimization","publication_year":1996,"publication_date":"1996-02-01","ids":{"openalex":"https://openalex.org/W2054787689","doi":"https://doi.org/10.1137/s0097539792241928","mag":"2054787689"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539792241928","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539792241928","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5032663560","display_name":"Richa Agarwala","orcid":"https://orcid.org/0000-0002-5518-9723"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Richa Agarwala","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5070873690","display_name":"David Fern\u00e1ndez\u2010Baca","orcid":"https://orcid.org/0000-0002-8563-3637"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David Fern\u00e1ndez-Baca","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032663560"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0422,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.79469027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"25","issue":"1","first_page":"83","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9987999796867371,"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":0.9987999796867371,"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/T12288","display_name":"Optimization and Search Problems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9980000257492065,"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/knapsack-problem","display_name":"Knapsack problem","score":0.7293360829353333},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.6871219873428345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6011742949485779},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5812411308288574},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5476835370063782},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5104836225509644},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.4635995924472809},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45831650495529175},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.429568886756897},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.42550522089004517},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4242950677871704},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32012617588043213}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.7293360829353333},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.6871219873428345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6011742949485779},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5812411308288574},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5476835370063782},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5104836225509644},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.4635995924472809},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45831650495529175},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.429568886756897},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.42550522089004517},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4242950677871704},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32012617588043213},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0097539792241928","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539792241928","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.29.5707","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.5707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.cs.iastate.edu/pub/tech_reports/1992/92-34/92-34.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.47.7667","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.7667","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dimacs.rutgers.edu/techps/1992/92-51.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1513400187","https://openalex.org/W1532024725","https://openalex.org/W1588830601","https://openalex.org/W1983860528","https://openalex.org/W1990970199","https://openalex.org/W1991755800","https://openalex.org/W1993058867","https://openalex.org/W1993986344","https://openalex.org/W2009436609","https://openalex.org/W2009803313","https://openalex.org/W2013382394","https://openalex.org/W2016056456","https://openalex.org/W2027029507","https://openalex.org/W2029448190","https://openalex.org/W2040783379","https://openalex.org/W2053278287","https://openalex.org/W2058748455","https://openalex.org/W2064796716","https://openalex.org/W2068707503","https://openalex.org/W2075371755","https://openalex.org/W2097004206","https://openalex.org/W2098976733","https://openalex.org/W2125690626","https://openalex.org/W2752885492","https://openalex.org/W4236384091","https://openalex.org/W4247568091","https://openalex.org/W4298262456","https://openalex.org/W4300640952"],"related_works":["https://openalex.org/W2600212144","https://openalex.org/W3005326639","https://openalex.org/W1990980885","https://openalex.org/W2298099604","https://openalex.org/W1593118139","https://openalex.org/W4280607205","https://openalex.org/W2780895040","https://openalex.org/W3092489815","https://openalex.org/W2951276066","https://openalex.org/W4300128383"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,34],"weighted":[3],"version":[4],"of":[5,36,48,53,60],"Megiddo\u2019s":[6],"multidimensional":[7],"search":[8],"technique":[9],"and":[10,52],"use":[11],"it":[12],"to":[13,31],"obtain":[14],"faster":[15],"algorithms":[16],"for":[17,26,40],"certain":[18],"convex":[19],"optimization":[20],"problems":[21,51,57],"in":[22],"${\\bf":[23],"R}^d":[24],"$,":[25],"fixed":[27],"d.":[28],"This":[29],"leads":[30],"speed-ups":[32],"by":[33],"factor":[35],"$\\log":[37],"^d":[38],"n$":[39],"applications":[41],"such":[42],"as":[43],"solving":[44],"the":[45],"Lagrangian":[46],"duals":[47],"matroidal":[49],"knapsack":[50],"constrained":[54],"optimum":[55],"subgraph":[56],"on":[58],"graphs":[59],"bounded":[61],"tree-width.":[62]},"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
