{"id":"https://openalex.org/W1563817519","doi":"https://doi.org/10.1007/978-3-642-14165-2_3","title":"Plane Spanners of Maximum Degree Six","display_name":"Plane Spanners of Maximum Degree Six","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1563817519","doi":"https://doi.org/10.1007/978-3-642-14165-2_3","mag":"1563817519"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-14165-2_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-14165-2_3","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/A5107031577","display_name":"Nicolas Bonichon","orcid":"https://orcid.org/0000-0002-7012-6851"},"institutions":[{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210142254","display_name":"Laboratoire Bordelais de Recherche en Informatique","ror":"https://ror.org/03adqg323","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210159245","https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Nicolas Bonichon","raw_affiliation_strings":["Laboratoire Bordelais de Recherche en Informatique (LaBRI), Universit\u00e9 de Bordeaux, France","LaBRI - Laboratoire Bordelais de Recherche en Informatique (Domaine Universitaire 351, cours de la Lib\u00e9ration 33405 Talence Cedex - France)","UB - Universit\u00e9 Sciences et Technologies - Bordeaux 1 ( 351 cours de la Lib\u00e9ration - 33405 Talence. - France)","CEPAGE - Algorithmics for computationally intensive applications over wide scale distributed platforms (Inria Bordeaux - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire Bordelais de Recherche en Informatique (LaBRI), Universit\u00e9 de Bordeaux, France","institution_ids":["https://openalex.org/I4210142254","https://openalex.org/I15057530","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"LaBRI - Laboratoire Bordelais de Recherche en Informatique (Domaine Universitaire 351, cours de la Lib\u00e9ration 33405 Talence Cedex - France)","institution_ids":["https://openalex.org/I4210142254"]},{"raw_affiliation_string":"UB - Universit\u00e9 Sciences et Technologies - Bordeaux 1 ( 351 cours de la Lib\u00e9ration - 33405 Talence. - France)","institution_ids":["https://openalex.org/I15057530"]},{"raw_affiliation_string":"CEPAGE - Algorithmics for computationally intensive applications over wide scale distributed platforms (Inria Bordeaux - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013587418","display_name":"Cyril Gavoille","orcid":"https://orcid.org/0000-0003-3671-8607"},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210142254","display_name":"Laboratoire Bordelais de Recherche en Informatique","ror":"https://ror.org/03adqg323","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210159245","https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cyril Gavoille","raw_affiliation_strings":["Laboratoire Bordelais de Recherche en Informatique (LaBRI), Universit\u00e9 de Bordeaux, France","Universit\u00e9 de Bordeaux (LaBRI) & INRIA, 351, cours de la Lib\u00e9ration, 33405, Talence Cedex, France","UB - Universit\u00e9 Sciences et Technologies - Bordeaux 1 ( 351 cours de la Lib\u00e9ration - 33405 Talence. - France)","LaBRI - Laboratoire Bordelais de Recherche en Informatique (Domaine Universitaire 351, cours de la Lib\u00e9ration 33405 Talence Cedex - France)","CEPAGE - Algorithmics for computationally intensive applications over wide scale distributed platforms (Inria Bordeaux - France)","IUF - Institut Universitaire de France (Maison des Universit\u00e9s 103 Boulevard Saint-Michel 75005 Paris - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire Bordelais de Recherche en Informatique (LaBRI), Universit\u00e9 de Bordeaux, France","institution_ids":["https://openalex.org/I4210142254","https://openalex.org/I15057530","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Universit\u00e9 de Bordeaux (LaBRI) & INRIA, 351, cours de la Lib\u00e9ration, 33405, Talence Cedex, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I15057530","https://openalex.org/I4210142254"]},{"raw_affiliation_string":"UB - Universit\u00e9 Sciences et Technologies - Bordeaux 1 ( 351 cours de la Lib\u00e9ration - 33405 Talence. - France)","institution_ids":["https://openalex.org/I15057530"]},{"raw_affiliation_string":"LaBRI - Laboratoire Bordelais de Recherche en Informatique (Domaine Universitaire 351, cours de la Lib\u00e9ration 33405 Talence Cedex - France)","institution_ids":["https://openalex.org/I4210142254"]},{"raw_affiliation_string":"CEPAGE - Algorithmics for computationally intensive applications over wide scale distributed platforms (Inria Bordeaux - France)","institution_ids":[]},{"raw_affiliation_string":"IUF - Institut Universitaire de France (Maison des Universit\u00e9s 103 Boulevard Saint-Michel 75005 Paris - France)","institution_ids":["https://openalex.org/I185839726"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047477217","display_name":"Nicolas Hanusse","orcid":null},"institutions":[{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210142254","display_name":"Laboratoire Bordelais de Recherche en Informatique","ror":"https://ror.org/03adqg323","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210159245","https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Hanusse","raw_affiliation_strings":["Laboratoire Bordelais de Recherche en Informatique (LaBRI), Universit\u00e9 de Bordeaux, France","LaBRI - Laboratoire Bordelais de Recherche en Informatique (Domaine Universitaire 351, cours de la Lib\u00e9ration 33405 Talence Cedex - France)","CEPAGE - Algorithmics for computationally intensive applications over wide scale distributed platforms (Inria Bordeaux - France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire Bordelais de Recherche en Informatique (LaBRI), Universit\u00e9 de Bordeaux, France","institution_ids":["https://openalex.org/I4210142254","https://openalex.org/I15057530","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"LaBRI - Laboratoire Bordelais de Recherche en Informatique (Domaine Universitaire 351, cours de la Lib\u00e9ration 33405 Talence Cedex - France)","institution_ids":["https://openalex.org/I4210142254"]},{"raw_affiliation_string":"CEPAGE - Algorithmics for computationally intensive applications over wide scale distributed platforms (Inria Bordeaux - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049775039","display_name":"Ljubomir Perkovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I118353179","display_name":"DePaul University","ror":"https://ror.org/04xtx5t16","country_code":"US","type":"education","lineage":["https://openalex.org/I118353179"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ljubomir Perkovi\u0107","raw_affiliation_strings":["School of Computing, DePaul University, USA","CTI - School of Computer Science, Telecommunications, and Information Systems [DePaul] (243 S. Wabash Avenue, Chicago IL 60604 - United States)","SOC - School of Computing [DePaul] (243 South Wabash Avenue Chicago, IL 60604 - United States)"],"affiliations":[{"raw_affiliation_string":"School of Computing, DePaul University, USA","institution_ids":["https://openalex.org/I118353179"]},{"raw_affiliation_string":"CTI - School of Computer Science, Telecommunications, and Information Systems [DePaul] (243 S. Wabash Avenue, Chicago IL 60604 - United States)","institution_ids":["https://openalex.org/I118353179"]},{"raw_affiliation_string":"SOC - School of Computing [DePaul] (243 South Wabash Avenue Chicago, IL 60604 - United States)","institution_ids":["https://openalex.org/I118353179"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5107031577"],"corresponding_institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210160189"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":7.5529,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.97916667,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"19","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":0.9998999834060669,"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/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9778000116348267,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9047999978065491,"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/spanner","display_name":"Spanner","score":0.9683660268783569},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.8902574181556702},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.8159171342849731},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6662919521331787},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6442152261734009},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5893678665161133},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.5236989259719849},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.4867872893810272},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.458198606967926},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44361597299575806},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4289438724517822},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.4134262800216675},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41321420669555664},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3219694495201111},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22157922387123108},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12166553735733032},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09333202242851257}],"concepts":[{"id":"https://openalex.org/C2779585601","wikidata":"https://www.wikidata.org/wiki/Q4049850","display_name":"Spanner","level":2,"score":0.9683660268783569},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.8902574181556702},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.8159171342849731},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6662919521331787},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6442152261734009},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5893678665161133},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.5236989259719849},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.4867872893810272},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.458198606967926},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44361597299575806},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4289438724517822},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.4134262800216675},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41321420669555664},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3219694495201111},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22157922387123108},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12166553735733032},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09333202242851257},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-642-14165-2_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-14165-2_3","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:10.1.1.396.5188","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.396.5188","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dept-info.labri.fr/~gavoille/article/BGHP10/","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00534212v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00534212","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ICALP, 2010, France. pp.19-30, &#x27E8;10.1007/978-3-642-14165-2_3&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/198208","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/198208","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","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":"Automata, Languages and Programming 37th International Colloquium, ICALP 2010, Bordeaux, France, July 6-10, 2010, Proceedings, Part I","raw_type":"Communication dans un congr\u00e8s"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1480586647","https://openalex.org/W1489900072","https://openalex.org/W1504049780","https://openalex.org/W1995350474","https://openalex.org/W2100460487","https://openalex.org/W2101955916","https://openalex.org/W2113604744","https://openalex.org/W2126889911","https://openalex.org/W2139391136","https://openalex.org/W2786889022","https://openalex.org/W2950040818"],"related_works":["https://openalex.org/W1972171563","https://openalex.org/W1988385724","https://openalex.org/W2405979143","https://openalex.org/W4302292570","https://openalex.org/W1609688788","https://openalex.org/W1585144921","https://openalex.org/W4298845479","https://openalex.org/W2002039836","https://openalex.org/W2018028700","https://openalex.org/W2558970008"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
