{"id":"https://openalex.org/W2005968133","doi":"https://doi.org/10.1016/s0925-7721(01)00066-9","title":"Optimizing area and aspect ratio in straight-line orthogonal tree drawings","display_name":"Optimizing area and aspect ratio in straight-line orthogonal tree drawings","publication_year":2002,"publication_date":"2002-09-01","ids":{"openalex":"https://openalex.org/W2005968133","doi":"https://doi.org/10.1016/s0925-7721(01)00066-9","mag":"2005968133"},"language":"en","primary_location":{"id":"doi:10.1016/s0925-7721(01)00066-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-7721(01)00066-9","pdf_url":null,"source":{"id":"https://openalex.org/S165542689","display_name":"Computational Geometry","issn_l":"0925-7721","issn":["0925-7721","1879-081X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Geometry","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/A5032955418","display_name":"Timothy M. Chan","orcid":"https://orcid.org/0000-0002-8093-0675"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Timothy M. Chan","raw_affiliation_strings":["Department of Computer Science, University of Waterloo, Waterloo, ON, Canada N2L 361"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Waterloo, Waterloo, ON, Canada N2L 361","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034971300","display_name":"Michael T. Goodrich","orcid":"https://orcid.org/0000-0002-8943-191X"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael T. Goodrich","raw_affiliation_strings":["Department of Computer Science, Johns Hopkins University, USA","Dept. of Computer Science, Johns Hopkins University,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Johns Hopkins University, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Dept. of Computer Science, Johns Hopkins University,","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019368196","display_name":"S. Rao Kosaraju","orcid":"https://orcid.org/0009-0002-7442-3287"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S.Rao Kosaraju","raw_affiliation_strings":["Department of Computer Science, Johns Hopkins University, USA","Dept. of Computer Science, Johns Hopkins University,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Johns Hopkins University, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Dept. of Computer Science, Johns Hopkins University,","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079716343","display_name":"Roberto Tamassia","orcid":"https://orcid.org/0000-0003-2445-6064"},"institutions":[{"id":"https://openalex.org/I175594653","display_name":"John Brown University","ror":"https://ror.org/02ct41q97","country_code":"US","type":"education","lineage":["https://openalex.org/I175594653"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roberto Tamassia","raw_affiliation_strings":["Department of Computer Science, Brown University, USA","Dept. of Computer Science, Brown University"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Brown University, USA","institution_ids":["https://openalex.org/I175594653"]},{"raw_affiliation_string":"Dept. of Computer Science, Brown University","institution_ids":["https://openalex.org/I175594653"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5032955418"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":2180,"currency":"USD","value_usd":2180},"apc_paid":null,"fwci":1.8639,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.86940278,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"23","issue":"2","first_page":"153","last_page":"162"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9991999864578247,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9975000023841858,"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/constant","display_name":"Constant (computer programming)","score":0.7109739184379578},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.6460562348365784},{"id":"https://openalex.org/keywords/aspect-ratio","display_name":"Aspect ratio (aeronautics)","score":0.5991660952568054},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5831590890884399},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5645308494567871},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.5300573706626892},{"id":"https://openalex.org/keywords/line-drawings","display_name":"Line drawings","score":0.4953724145889282},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4797431230545044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4752885103225708},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4462837874889374},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4362650513648987},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.41640400886535645},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4124101996421814},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3205196261405945},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.31809696555137634},{"id":"https://openalex.org/keywords/engineering-drawing","display_name":"Engineering drawing","score":0.18040907382965088},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.14849096536636353}],"concepts":[{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.7109739184379578},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.6460562348365784},{"id":"https://openalex.org/C82558694","wikidata":"https://www.wikidata.org/wiki/Q1545619","display_name":"Aspect ratio (aeronautics)","level":2,"score":0.5991660952568054},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5831590890884399},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5645308494567871},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.5300573706626892},{"id":"https://openalex.org/C2983864324","wikidata":"https://www.wikidata.org/wiki/Q16872183","display_name":"Line drawings","level":2,"score":0.4953724145889282},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4797431230545044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4752885103225708},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4462837874889374},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4362650513648987},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.41640400886535645},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4124101996421814},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3205196261405945},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.31809696555137634},{"id":"https://openalex.org/C199639397","wikidata":"https://www.wikidata.org/wiki/Q1788588","display_name":"Engineering drawing","level":1,"score":0.18040907382965088},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.14849096536636353},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0925-7721(01)00066-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-7721(01)00066-9","pdf_url":null,"source":{"id":"https://openalex.org/S165542689","display_name":"Computational Geometry","issn_l":"0925-7721","issn":["0925-7721","1879-081X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Geometry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1771984599","https://openalex.org/W1971486096","https://openalex.org/W1989650529","https://openalex.org/W1991435149","https://openalex.org/W1992709202","https://openalex.org/W2002246362","https://openalex.org/W2007280161","https://openalex.org/W2024020379","https://openalex.org/W2045012623","https://openalex.org/W2052943053","https://openalex.org/W2077377041","https://openalex.org/W2085505312","https://openalex.org/W2139793058","https://openalex.org/W2144927306","https://openalex.org/W2149977307","https://openalex.org/W6631729724"],"related_works":["https://openalex.org/W2560063780","https://openalex.org/W2113765940","https://openalex.org/W2315644587","https://openalex.org/W2014404297","https://openalex.org/W2320224019","https://openalex.org/W1511867901","https://openalex.org/W2048020815","https://openalex.org/W2148875516","https://openalex.org/W2923455247","https://openalex.org/W2134886733"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
