{"id":"https://openalex.org/W2036908020","doi":"https://doi.org/10.1007/s00373-010-0881-5","title":"Packing and Covering Triangles in Planar Graphs","display_name":"Packing and Covering Triangles in Planar Graphs","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2036908020","doi":"https://doi.org/10.1007/s00373-010-0881-5","mag":"2036908020"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-010-0881-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-010-0881-5","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","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/A5019685354","display_name":"Qing Cui","orcid":"https://orcid.org/0000-0002-0196-9265"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qing Cui","raw_affiliation_strings":["Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, People\u2019s Republic of China","Nanjing University of Aeronautics and Astronautics, Department of Mathematics, 210016, Nanjing, People\u2019s Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, People\u2019s Republic of China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"Nanjing University of Aeronautics and Astronautics, Department of Mathematics, 210016, Nanjing, People\u2019s Republic of China#TAB#","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073055503","display_name":"Penny Haxell","orcid":null},"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":false,"raw_author_name":"Penny Haxell","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, N2L 3G1, Canada","University of Waterloo, Department of Combinatorics and Optimization, N2L 3G1, Waterloo, ON, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"University of Waterloo, Department of Combinatorics and Optimization, N2L 3G1, Waterloo, ON, Canada#TAB#","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070149920","display_name":"Will Ma","orcid":null},"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":false,"raw_author_name":"Will Ma","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, N2L 3G1, Canada","University of Waterloo, Department of Combinatorics and Optimization, N2L 3G1, Waterloo, ON, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"University of Waterloo, Department of Combinatorics and Optimization, N2L 3G1, Waterloo, ON, Canada#TAB#","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019685354"],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.3015,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.84398977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"25","issue":"6","first_page":"817","last_page":"824"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9861999750137329,"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":0.9861999750137329,"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/T13518","display_name":"Architecture and Computational Design","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/2216","display_name":"Architecture"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9682999849319458,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7827939987182617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7207749485969543},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5425208210945129},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.45651957392692566},{"id":"https://openalex.org/keywords/outerplanar-graph","display_name":"Outerplanar graph","score":0.444046288728714},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2981017231941223},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.29265668988227844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1900927722454071},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10520720481872559},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.06765744090080261}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7827939987182617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7207749485969543},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5425208210945129},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.45651957392692566},{"id":"https://openalex.org/C125792925","wikidata":"https://www.wikidata.org/wiki/Q3115604","display_name":"Outerplanar graph","level":5,"score":0.444046288728714},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2981017231941223},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.29265668988227844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1900927722454071},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10520720481872559},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.06765744090080261}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-010-0881-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-010-0881-5","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","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":4,"referenced_works":["https://openalex.org/W1969037852","https://openalex.org/W1990901538","https://openalex.org/W1990953773","https://openalex.org/W2049672706"],"related_works":["https://openalex.org/W3216500139","https://openalex.org/W3034858646","https://openalex.org/W4287758186","https://openalex.org/W3216105633","https://openalex.org/W2963028755","https://openalex.org/W2952675320","https://openalex.org/W2990956612","https://openalex.org/W4289674633","https://openalex.org/W3135899633","https://openalex.org/W2048639803"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}