{"id":"https://openalex.org/W2057629368","doi":"https://doi.org/10.1007/pl00014415","title":"Multiple Translational Containment Part I: An Approximate Algorithm","display_name":"Multiple Translational Containment Part I: An Approximate Algorithm","publication_year":1997,"publication_date":"1997-09-01","ids":{"openalex":"https://openalex.org/W2057629368","doi":"https://doi.org/10.1007/pl00014415","mag":"2057629368"},"language":"en","primary_location":{"id":"doi:10.1007/pl00014415","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00014415","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/A5061841705","display_name":"Karen Daniels","orcid":"https://orcid.org/0000-0002-4345-5406"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]},{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"K. Daniels","raw_affiliation_strings":["Division of Applied Sciences, Harvard University, Cambridge, MA 02138, USA.  daniels@das.harvard.edu., , , , , , US","Division of Applied Sciences, Harvard University, Cambridge, MA 02138, USA.  daniels@das.harvard.edu., , US"],"affiliations":[{"raw_affiliation_string":"Division of Applied Sciences, Harvard University, Cambridge, MA 02138, USA.  daniels@das.harvard.edu., , , , , , US","institution_ids":["https://openalex.org/I2801851002"]},{"raw_affiliation_string":"Division of Applied Sciences, Harvard University, Cambridge, MA 02138, USA.  daniels@das.harvard.edu., , US","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039907465","display_name":"Victor Milenkovic","orcid":"https://orcid.org/0000-0001-8524-9742"},"institutions":[{"id":"https://openalex.org/I145608581","display_name":"University of Miami","ror":"https://ror.org/02dgjyy92","country_code":"US","type":"education","lineage":["https://openalex.org/I145608581"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. J. Milenkovic","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Miami, Coral Gables, FL 33124, USA. vjm@cs.miami.edu., , , , , , US","Department of Mathematics and Computer Science, University of Miami, Coral Gables, FL 33124, USA. vjm@cs.miami.edu., US"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Miami, Coral Gables, FL 33124, USA. vjm@cs.miami.edu., , , , , , US","institution_ids":["https://openalex.org/I145608581"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Miami, Coral Gables, FL 33124, USA. vjm@cs.miami.edu., US","institution_ids":["https://openalex.org/I145608581"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061841705"],"corresponding_institution_ids":["https://openalex.org/I136199984","https://openalex.org/I2801851002"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.2804,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.9157489,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"19","issue":"1-2","first_page":"148","last_page":"182"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/containment","display_name":"Containment (computer programming)","score":0.7625173330307007},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.7588905096054077},{"id":"https://openalex.org/keywords/container","display_name":"Container (type theory)","score":0.6002762317657471},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5774592757225037},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5602493286132812},{"id":"https://openalex.org/keywords/rectilinear-polygon","display_name":"Rectilinear polygon","score":0.5128307938575745},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5110284090042114},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.45984235405921936},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4210721552371979},{"id":"https://openalex.org/keywords/polygon-covering","display_name":"Polygon covering","score":0.4121856093406677},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.41073134541511536},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.38436588644981384},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.379047691822052},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37105560302734375},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.22326228022575378},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1694945991039276},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11082935333251953}],"concepts":[{"id":"https://openalex.org/C2777019822","wikidata":"https://www.wikidata.org/wiki/Q390066","display_name":"Containment (computer programming)","level":2,"score":0.7625173330307007},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.7588905096054077},{"id":"https://openalex.org/C2781018962","wikidata":"https://www.wikidata.org/wiki/Q5164884","display_name":"Container (type theory)","level":2,"score":0.6002762317657471},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5774592757225037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5602493286132812},{"id":"https://openalex.org/C170542616","wikidata":"https://www.wikidata.org/wiki/Q7303186","display_name":"Rectilinear polygon","level":4,"score":0.5128307938575745},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5110284090042114},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.45984235405921936},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4210721552371979},{"id":"https://openalex.org/C187778580","wikidata":"https://www.wikidata.org/wiki/Q18389289","display_name":"Polygon covering","level":3,"score":0.4121856093406677},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.41073134541511536},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.38436588644981384},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.379047691822052},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37105560302734375},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.22326228022575378},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1694945991039276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11082935333251953},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/pl00014415","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00014415","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:10.1.1.50.5546","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.5546","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.bc.edu/~daniels/Papers/contain.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.56.9417","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.9417","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.miami.edu/~vjm/Papers/alg94i.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.46000000834465027,"display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W72290498","https://openalex.org/W114246523","https://openalex.org/W117250289","https://openalex.org/W1519091394","https://openalex.org/W1606650340","https://openalex.org/W1969229316","https://openalex.org/W1973769099","https://openalex.org/W2011039300","https://openalex.org/W2028785191","https://openalex.org/W2039810899","https://openalex.org/W2051754942","https://openalex.org/W2055659708","https://openalex.org/W2061283496","https://openalex.org/W2065095366","https://openalex.org/W2140199775","https://openalex.org/W2296977544","https://openalex.org/W2396562432","https://openalex.org/W2443862921"],"related_works":["https://openalex.org/W2466150543","https://openalex.org/W2362048241","https://openalex.org/W2379265227","https://openalex.org/W2608536130","https://openalex.org/W2097069316","https://openalex.org/W2372903818","https://openalex.org/W100228941","https://openalex.org/W2368761166","https://openalex.org/W2391347083","https://openalex.org/W2102467404"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
