{"id":"https://openalex.org/W2002246362","doi":"https://doi.org/10.1016/s0925-7721(97)00013-8","title":"Linear area upward drawings of AVL trees","display_name":"Linear area upward drawings of AVL trees","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2002246362","doi":"https://doi.org/10.1016/s0925-7721(97)00013-8","mag":"2002246362"},"language":"en","primary_location":{"id":"doi:10.1016/s0925-7721(97)00013-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-7721(97)00013-8","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/A5012362492","display_name":"Pierluigi Crescenzi","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"P. Crescenzi","raw_affiliation_strings":["Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198 Roma, Italy","Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198, Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198 Roma, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054420804","display_name":"Paolo Penna","orcid":"https://orcid.org/0000-0002-5959-2421"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"P. Penna","raw_affiliation_strings":["Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198 Roma, Italy","Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198, Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198 Roma, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077196285","display_name":"Adolfo Piperno","orcid":null},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Piperno","raw_affiliation_strings":["Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198 Roma, Italy","Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198, Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198 Roma, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universit\u00e0 degli Studi di Roma \u201cLa Sapienza\u201d, Via Salaria 113, 00198, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012362492"],"corresponding_institution_ids":["https://openalex.org/I861853513"],"apc_list":{"value":2180,"currency":"USD","value_usd":2180},"apc_paid":null,"fwci":0.7474,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.72496336,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"9","issue":"1-2","first_page":"25","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9998000264167786,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9945999979972839,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/line","display_name":"Line (geometry)","score":0.6130234599113464},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5598148703575134},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5564165115356445},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5465580224990845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5418747663497925},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5407642126083374},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5357910990715027},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5212762355804443},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.48038893938064575},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.4731777012348175},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.457006573677063},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.43387794494628906},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.355751097202301},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.24891448020935059},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1085653305053711},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10680949687957764}],"concepts":[{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.6130234599113464},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5598148703575134},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5564165115356445},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5465580224990845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5418747663497925},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5407642126083374},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5357910990715027},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5212762355804443},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.48038893938064575},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.4731777012348175},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.457006573677063},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.43387794494628906},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.355751097202301},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.24891448020935059},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1085653305053711},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10680949687957764},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/s0925-7721(97)00013-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0925-7721(97)00013-8","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.385.7421","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.385.7421","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.di.unisa.it/~penna/papers/compgeo98.pdf","raw_type":"text"},{"id":"pmh:oai:flore.unifi.it:2158/205985","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/205985","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma1.it:11573/67763","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/67763","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4099999964237213,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W68495966","https://openalex.org/W172574161","https://openalex.org/W1971486096","https://openalex.org/W1986893644","https://openalex.org/W1989650529","https://openalex.org/W1992709202","https://openalex.org/W1995997000","https://openalex.org/W2045012623","https://openalex.org/W2052943053","https://openalex.org/W4402941199","https://openalex.org/W4403297862","https://openalex.org/W6602820879","https://openalex.org/W6606938622"],"related_works":["https://openalex.org/W4206327962","https://openalex.org/W2010009304","https://openalex.org/W1996851061","https://openalex.org/W3021694725","https://openalex.org/W2025195393","https://openalex.org/W2940695648","https://openalex.org/W4251403274","https://openalex.org/W2096304864","https://openalex.org/W1973684381","https://openalex.org/W1985727224"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-03T09:05:47.796612","created_date":"2025-10-10T00:00:00"}
