{"id":"https://openalex.org/W2133365521","doi":"https://doi.org/10.1142/s0218195992000238","title":"COMPUTING SHORTEST TRANSVERSALS OF SETS","display_name":"COMPUTING SHORTEST TRANSVERSALS OF SETS","publication_year":1992,"publication_date":"1992-12-01","ids":{"openalex":"https://openalex.org/W2133365521","doi":"https://doi.org/10.1142/s0218195992000238","mag":"2133365521"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195992000238","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195992000238","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","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/A5021157679","display_name":"Binay Bhattacharya","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"BINAY BHATTACHARYA","raw_affiliation_strings":["School of Computing Science, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing Science, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067736776","display_name":"Jurek Czyzowicz","orcid":"https://orcid.org/0000-0002-9026-1217"},"institutions":[{"id":"https://openalex.org/I33217400","display_name":"Universit\u00e9 du Qu\u00e9bec en Outaouais","ror":"https://ror.org/011pqxa69","country_code":"CA","type":"education","lineage":["https://openalex.org/I33217400","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"JUREK CZYZOWICZ","raw_affiliation_strings":["D\u00e9partement d\u2019Informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Hull, Hull, Qu\u00e9bec, Canada J8X 3X7, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement d\u2019Informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Hull, Hull, Qu\u00e9bec, Canada J8X 3X7, Canada","institution_ids":["https://openalex.org/I33217400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062274562","display_name":"Peter Egyed","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"PETER EGYED","raw_affiliation_strings":["School of Computer Science, McGill University, Montreal, Quebec, Canada H3A 2A7, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, Quebec, Canada H3A 2A7, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110237968","display_name":"Godfried Toussaint","orcid":"https://orcid.org/0009-0008-7801-7212"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"GODFRIED TOUSSAINT","raw_affiliation_strings":["School of Computer Science, McGill University, Montreal, Quebec, Canada H3A 2A7, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, Quebec, Canada H3A 2A7, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113663657","display_name":"Ivan Stojmenovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"IVAN STOJMENOVIC","raw_affiliation_strings":["Department of Computer Science, University of Ottawa, Ottawa, Ontario, Canada K1N 6N5, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Ottawa, Ottawa, Ontario, Canada K1N 6N5, Canada","institution_ids":["https://openalex.org/I153718931"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068857927","display_name":"Jorge Urrutia","orcid":"https://orcid.org/0000-0002-4158-5979"},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"JORGE URRUTIA","raw_affiliation_strings":["Department of Computer Science, University of Ottawa, Ottawa, Ontario, Canada K1N 6N5, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Ottawa, Ottawa, Ontario, Canada K1N 6N5, Canada","institution_ids":["https://openalex.org/I153718931"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.2140825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"02","issue":"04","first_page":"417","last_page":"435"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":1.0,"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":1.0,"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":0.9921000003814697,"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/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"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/transversal","display_name":"Transversal (combinatorics)","score":0.8860682249069214},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7856025099754333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7794215679168701},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5484720468521118},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5273999571800232},{"id":"https://openalex.org/keywords/family-of-sets","display_name":"Family of sets","score":0.45445773005485535},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4290359318256378},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.41608282923698425},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.378495454788208},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11486190557479858},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.08912163972854614},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08874744176864624},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04808112978935242}],"concepts":[{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.8860682249069214},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7856025099754333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7794215679168701},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5484720468521118},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5273999571800232},{"id":"https://openalex.org/C150591576","wikidata":"https://www.wikidata.org/wiki/Q739925","display_name":"Family of sets","level":3,"score":0.45445773005485535},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4290359318256378},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.41608282923698425},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.378495454788208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11486190557479858},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.08912163972854614},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08874744176864624},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04808112978935242},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218195992000238","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195992000238","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W170832643","https://openalex.org/W1506178121","https://openalex.org/W1817646670","https://openalex.org/W1965327420","https://openalex.org/W1965568436","https://openalex.org/W1973073235","https://openalex.org/W1993164664","https://openalex.org/W2000871243","https://openalex.org/W2008745553","https://openalex.org/W2017260899","https://openalex.org/W2033836415","https://openalex.org/W2043127280","https://openalex.org/W2078908612","https://openalex.org/W2080276023","https://openalex.org/W2107423006","https://openalex.org/W2170103551"],"related_works":["https://openalex.org/W1797512036","https://openalex.org/W1989829705","https://openalex.org/W1592143084","https://openalex.org/W2077333323","https://openalex.org/W2949921337","https://openalex.org/W4385304770","https://openalex.org/W4361806507","https://openalex.org/W1557097679","https://openalex.org/W2101088560","https://openalex.org/W1999121404"],"abstract_inverted_index":{"Given":[0],"a":[1,15,29,39,61,65,70,77,83,91,95,110,120,126],"family":[2,66,71,78,96,111,121],"of":[3,21,31,47,64,67,72,79,85,97,112,122,128],"objects":[4,99],"in":[5],"the":[6,8,22,32,48],"plane,":[7],"line":[9,16,33,41,74,92,114],"transversal":[10,34,63,93,134],"problem":[11,35],"is":[12],"to":[13],"compute":[14],"that":[17,36,43],"intersects":[18,44],"every":[19,45],"member":[20,46],"family.":[23,49],"In":[24,50,88],"this":[25],"paper":[26],"we":[27,52],"examine":[28],"variation":[30],"involves":[37],"computing":[38,60],"shortest":[40,62,133],"segment":[42],"particular,":[51],"give":[53],"O(n":[54],"log":[55,102],"n)":[56,103],"time":[57,106],"algorithms":[58,135],"for":[59,94,109,119,136],"n":[68,73,86,98,113,129],"lines,":[69],"segments,":[75],"and":[76],"convex":[80,123],"polygons":[81,124],"with":[82,125],"total":[84,127],"vertices.":[87,130],"general,":[89],"finding":[90],"takes":[100],"\u03a9(n":[101],"time.":[104],"This":[105],"bound":[107],"holds":[108],"segments":[115],"as":[116,118],"well":[117],"Hence,":[131],"our":[132],"these":[137],"families":[138],"are":[139],"optimal.":[140]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
