{"id":"https://openalex.org/W1788276249","doi":"https://doi.org/10.1007/3-540-58325-4_162","title":"Every set of disjoint line segments admits a binary tree","display_name":"Every set of disjoint line segments admits a binary tree","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W1788276249","doi":"https://doi.org/10.1007/3-540-58325-4_162","mag":"1788276249"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-58325-4_162","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-58325-4_162","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5013674788","display_name":"Prosenjit Bose","orcid":"https://orcid.org/0000-0002-8906-0573"},"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":true,"raw_author_name":"Prosenjit Bose","raw_affiliation_strings":["School of Computer Science, McGill University, Montr\u00e9al, Qu\u00e9bec, Canada","McGill University"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montr\u00e9al, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025538864","display_name":"Michael E. Houle","orcid":"https://orcid.org/0000-0001-8486-8015"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Michael E. Houle","raw_affiliation_strings":["Dept. of Computer Science, University of Newcastle, 2308, Newcastle, NSW, Australia","(University of Newcastle"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Newcastle, 2308, Newcastle, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]},{"raw_affiliation_string":"(University of Newcastle","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"last","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, Montr\u00e9al, Qu\u00e9bec, Canada","McGill University"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montr\u00e9al, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013674788"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.21774194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"20","last_page":"28"},"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/T11164","display_name":"Remote Sensing and LiDAR Applications","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9894000291824341,"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/k-ary-tree","display_name":"K-ary tree","score":0.737591028213501},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7280734181404114},{"id":"https://openalex.org/keywords/interval-tree","display_name":"Interval tree","score":0.6992179155349731},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.661454439163208},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.6467258334159851},{"id":"https://openalex.org/keywords/segment-tree","display_name":"Segment tree","score":0.645976185798645},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6366613507270813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.561065673828125},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5031711459159851},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.4984140396118164},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4628528654575348},{"id":"https://openalex.org/keywords/tree-traversal","display_name":"Tree traversal","score":0.45294564962387085},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4243553876876831},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4240688681602478},{"id":"https://openalex.org/keywords/optimal-binary-search-tree","display_name":"Optimal binary search tree","score":0.41670647263526917},{"id":"https://openalex.org/keywords/range-tree","display_name":"Range tree","score":0.4118676781654358},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33896082639694214},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.3338702321052551},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10800319910049438},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.09797677397727966},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06643164157867432}],"concepts":[{"id":"https://openalex.org/C100560664","wikidata":"https://www.wikidata.org/wiki/Q3608019","display_name":"K-ary tree","level":4,"score":0.737591028213501},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7280734181404114},{"id":"https://openalex.org/C84927040","wikidata":"https://www.wikidata.org/wiki/Q6057306","display_name":"Interval tree","level":4,"score":0.6992179155349731},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.661454439163208},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.6467258334159851},{"id":"https://openalex.org/C94557470","wikidata":"https://www.wikidata.org/wiki/Q2377385","display_name":"Segment tree","level":5,"score":0.645976185798645},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6366613507270813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.561065673828125},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5031711459159851},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.4984140396118164},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4628528654575348},{"id":"https://openalex.org/C140745168","wikidata":"https://www.wikidata.org/wiki/Q1210082","display_name":"Tree traversal","level":2,"score":0.45294564962387085},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4243553876876831},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4240688681602478},{"id":"https://openalex.org/C27628562","wikidata":"https://www.wikidata.org/wiki/Q17154715","display_name":"Optimal binary search tree","level":5,"score":0.41670647263526917},{"id":"https://openalex.org/C68775195","wikidata":"https://www.wikidata.org/wiki/Q818944","display_name":"Range tree","level":5,"score":0.4118676781654358},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33896082639694214},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.3338702321052551},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10800319910049438},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.09797677397727966},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06643164157867432},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-58325-4_162","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-58325-4_162","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.16.8476","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.8476","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scs.carleton.ca/~jit/publications/papers/bht94.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":13,"referenced_works":["https://openalex.org/W278703347","https://openalex.org/W1484040084","https://openalex.org/W1992635261","https://openalex.org/W2005314985","https://openalex.org/W2020550704","https://openalex.org/W2031165997","https://openalex.org/W2048561883","https://openalex.org/W2059799954","https://openalex.org/W2088839217","https://openalex.org/W2092284622","https://openalex.org/W2150475707","https://openalex.org/W2911302472","https://openalex.org/W6609549613"],"related_works":["https://openalex.org/W4244673516","https://openalex.org/W2022598760","https://openalex.org/W2107381954","https://openalex.org/W2125650843","https://openalex.org/W2061004850","https://openalex.org/W3109340025","https://openalex.org/W2044936698","https://openalex.org/W4252140251","https://openalex.org/W4288268215","https://openalex.org/W16477014"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
