{"id":"https://openalex.org/W1964481538","doi":"https://doi.org/10.1007/s00453-011-9517-2","title":"Near-Linear Approximation Algorithms for Geometric Hitting Sets","display_name":"Near-Linear Approximation Algorithms for Geometric Hitting Sets","publication_year":2011,"publication_date":"2011-05-05","ids":{"openalex":"https://openalex.org/W1964481538","doi":"https://doi.org/10.1007/s00453-011-9517-2","mag":"1964481538"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-011-9517-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-011-9517-2","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","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/A5058649592","display_name":"Pankaj K. Agarwal","orcid":"https://orcid.org/0000-0002-9439-181X"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pankaj K. Agarwal","raw_affiliation_strings":["Department of Computer Science, Duke University, Durham, NC, 27708-0129, USA","Department of Computer Science, Duke University, Durham, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Duke University, Durham, NC, 27708-0129, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Department of Computer Science, Duke University, Durham, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089313525","display_name":"Esther Ezra","orcid":"https://orcid.org/0000-0001-8133-1335"},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Esther Ezra","raw_affiliation_strings":["Department of Computer Science, Courant Institute of Mathematical Sciences, New York, NY, 10012, USA","Department of Computer Science, Courant Institute of Mathematical Sciences, New York, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Courant Institute of Mathematical Sciences, New York, NY, 10012, USA","institution_ids":["https://openalex.org/I36672615"]},{"raw_affiliation_string":"Department of Computer Science, Courant Institute of Mathematical Sciences, New York, USA","institution_ids":["https://openalex.org/I36672615"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055296785","display_name":"Micha Sharir","orcid":"https://orcid.org/0000-0002-2541-3763"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]},{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}],"countries":["IL","US"],"is_corresponding":false,"raw_author_name":"Micha Sharir","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University, New York, NY, 10012, USA","School of Computer Science, Tel Aviv University, Tel Aviv, 69978, Israel","School of Computer Science, Tel Aviv University, Tel Aviv, Israel","Courant Institute of Mathematical Sciences, New York University, New York, USA"],"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, New York, NY, 10012, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, New York, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089313525"],"corresponding_institution_ids":["https://openalex.org/I36672615"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.1884,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.93640655,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"63","issue":"1-2","first_page":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":0.9998999834060669,"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/T11106","display_name":"Data Management and Algorithms","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9894999861717224,"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/combinatorics","display_name":"Combinatorics","score":0.691238284111023},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6798522472381592},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6761683821678162},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6044842004776001},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5804721117019653},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4798997640609741},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4572964608669281},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4392586946487427},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.4350889325141907},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.42949363589286804},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4237046241760254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39082929491996765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09862849116325378}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.691238284111023},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6798522472381592},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6761683821678162},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6044842004776001},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5804721117019653},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4798997640609741},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4572964608669281},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4392586946487427},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.4350889325141907},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42949363589286804},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4237046241760254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39082929491996765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09862849116325378},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00453-011-9517-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-011-9517-2","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.150.1924","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.1924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.tau.ac.il/~michas/52_ezra.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.219.4574","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.219.4574","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.tau.ac.il/~estere/Research/Hitting_sets/hitting_set.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.294.9117","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.294.9117","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.duke.edu/~pankaj/publications/papers/hitting_set.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1519481","https://openalex.org/W166438205","https://openalex.org/W806373222","https://openalex.org/W1511255594","https://openalex.org/W1581442026","https://openalex.org/W1965146563","https://openalex.org/W1975581100","https://openalex.org/W1980092773","https://openalex.org/W1999396007","https://openalex.org/W2004899468","https://openalex.org/W2011039300","https://openalex.org/W2013451793","https://openalex.org/W2022671649","https://openalex.org/W2027277859","https://openalex.org/W2028747718","https://openalex.org/W2031149390","https://openalex.org/W2048729985","https://openalex.org/W2054459484","https://openalex.org/W2054505111","https://openalex.org/W2056739617","https://openalex.org/W2057545667","https://openalex.org/W2058432138","https://openalex.org/W2058787216","https://openalex.org/W2059541050","https://openalex.org/W2060846685","https://openalex.org/W2061750047","https://openalex.org/W2081442360","https://openalex.org/W2085933841","https://openalex.org/W2100961486","https://openalex.org/W2103893986","https://openalex.org/W2119142868","https://openalex.org/W2127739958","https://openalex.org/W2131628389","https://openalex.org/W2135524945","https://openalex.org/W2138473336","https://openalex.org/W2140049544","https://openalex.org/W2143996311","https://openalex.org/W2149906774","https://openalex.org/W2155923807","https://openalex.org/W2158081121","https://openalex.org/W2162048995","https://openalex.org/W2611804663","https://openalex.org/W2913207943","https://openalex.org/W2950728293","https://openalex.org/W2996041333","https://openalex.org/W4251391716","https://openalex.org/W4252017042","https://openalex.org/W4254780343","https://openalex.org/W4254977685","https://openalex.org/W4285719527","https://openalex.org/W4289257274","https://openalex.org/W6603230187"],"related_works":["https://openalex.org/W2032550399","https://openalex.org/W2057791178","https://openalex.org/W2962917430","https://openalex.org/W2028468530","https://openalex.org/W2121315472","https://openalex.org/W4246482459","https://openalex.org/W4299801389","https://openalex.org/W2574604093","https://openalex.org/W2775068415","https://openalex.org/W1903284337"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}