{"id":"https://openalex.org/W2125861228","doi":"https://doi.org/10.1016/s0166-218x(99)00042-6","title":"Bipartite embeddings of trees in the plane","display_name":"Bipartite embeddings of trees in the plane","publication_year":1999,"publication_date":"1999-07-01","ids":{"openalex":"https://openalex.org/W2125861228","doi":"https://doi.org/10.1016/s0166-218x(99)00042-6","mag":"2125861228"},"language":"en","primary_location":{"id":"doi:10.1016/s0166-218x(99)00042-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(99)00042-6","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"Discrete Applied Mathematics","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/A5047518573","display_name":"Manuel Abellanas","orcid":null},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Abellanas","raw_affiliation_strings":["Facultad de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Boadilla del Monte, 28660 Madrid, Spain","Facultad de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Facultad de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Boadilla del Monte, 28660 Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]},{"raw_affiliation_string":"Facultad de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040668292","display_name":"Julio Garc\u00eda Espinosa","orcid":"https://orcid.org/0000-0003-0160-7333"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Garc\u0131\u0301a","raw_affiliation_strings":["Escuela Universitaria de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Crta. de Valencia, km 7, 28031 Madrid, Spain","Escuela Universitaria de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Escuela Universitaria de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Crta. de Valencia, km 7, 28031 Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]},{"raw_affiliation_string":"Escuela Universitaria de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024729920","display_name":"Gregorio Hern\u00e1ndez Pe\u00f1alver","orcid":"https://orcid.org/0000-0002-7178-0249"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"G. Hern\u00e1ndez","raw_affiliation_strings":["Facultad de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Boadilla del Monte, 28660 Madrid, Spain","Facultad de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Facultad de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Boadilla del Monte, 28660 Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]},{"raw_affiliation_string":"Facultad de Inform\u00e1tica, Univ. Polit\u00e9cnica de Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083605241","display_name":"Marc Noy","orcid":"https://orcid.org/0000-0002-2399-1359"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. Noy","raw_affiliation_strings":["Dep. de Matem\u00e0tica Aplicada II, Univ. Polit\u00e8cnica de Catalunya, Pau Gargallo 5, 08028 Barcelona, Spain","Dep. de Matem\u00e0tica Aplicada II, Univ. Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Dep. de Matem\u00e0tica Aplicada II, Univ. Polit\u00e8cnica de Catalunya, Pau Gargallo 5, 08028 Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Dep. de Matem\u00e0tica Aplicada II, Univ. Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002453933","display_name":"Pedro Ramos","orcid":"https://orcid.org/0000-0001-6904-5803"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"P. Ramos","raw_affiliation_strings":["Escuela Universitaria de I.T. Aeron\u00e1utica, Univ. Polit\u00e9cnica de Madrid, Pza. Cardenal Cisneros s/n, 28040 Madrid, Spain","Escuela Universitaria de I.T. Aeron\u00e1utica, Univ. Polit\u00e9cnica de Madrid, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Escuela Universitaria de I.T. Aeron\u00e1utica, Univ. Polit\u00e9cnica de Madrid, Pza. Cardenal Cisneros s/n, 28040 Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]},{"raw_affiliation_string":"Escuela Universitaria de I.T. Aeron\u00e1utica, Univ. Polit\u00e9cnica de Madrid, Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5083605241"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.3382,"has_fulltext":false,"cited_by_count":67,"citation_normalized_percentile":{"value":0.66870877,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"93","issue":"2-3","first_page":"141","last_page":"148"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9896000027656555,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/combinatorics","display_name":"Combinatorics","score":0.8252184987068176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8246896862983704},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.8141751289367676},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.810792088508606},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6970241665840149},{"id":"https://openalex.org/keywords/general-position","display_name":"General position","score":0.6801900267601013},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6221297979354858},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6080166697502136},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5542840957641602},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5480270385742188},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5341678261756897},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.44192230701446533},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40333274006843567},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12135079503059387},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10978582501411438},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07650721073150635},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.048692286014556885}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8252184987068176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8246896862983704},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.8141751289367676},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.810792088508606},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6970241665840149},{"id":"https://openalex.org/C150397156","wikidata":"https://www.wikidata.org/wiki/Q591310","display_name":"General position","level":2,"score":0.6801900267601013},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6221297979354858},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6080166697502136},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5542840957641602},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5480270385742188},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5341678261756897},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.44192230701446533},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40333274006843567},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12135079503059387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10978582501411438},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07650721073150635},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.048692286014556885},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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":1,"locations":[{"id":"doi:10.1016/s0166-218x(99)00042-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(99)00042-6","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"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":"Discrete Applied Mathematics","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":13,"referenced_works":["https://openalex.org/W1487774514","https://openalex.org/W1617187171","https://openalex.org/W2022266599","https://openalex.org/W2030563429","https://openalex.org/W2031303191","https://openalex.org/W2042473201","https://openalex.org/W2065880212","https://openalex.org/W2073391400","https://openalex.org/W2243618862","https://openalex.org/W2481227236","https://openalex.org/W2912202394","https://openalex.org/W4214879812","https://openalex.org/W4300640952"],"related_works":["https://openalex.org/W2980534072","https://openalex.org/W3019897441","https://openalex.org/W2092837495","https://openalex.org/W2075509416","https://openalex.org/W2105685301","https://openalex.org/W2968422778","https://openalex.org/W2546863496","https://openalex.org/W3105144174","https://openalex.org/W2125861228","https://openalex.org/W4285546035"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
