{"id":"https://openalex.org/W2531380780","doi":"https://doi.org/10.1007/s00453-016-0226-8","title":"Recognizing Optimal 1-Planar Graphs in Linear Time","display_name":"Recognizing Optimal 1-Planar Graphs in Linear Time","publication_year":2016,"publication_date":"2016-10-13","ids":{"openalex":"https://openalex.org/W2531380780","doi":"https://doi.org/10.1007/s00453-016-0226-8","mag":"2531380780"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-016-0226-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-016-0226-8","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1602.08022","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080729232","display_name":"Franz J. Brandenburg","orcid":"https://orcid.org/0000-0001-6544-8496"},"institutions":[{"id":"https://openalex.org/I186354981","display_name":"University of Passau","ror":"https://ror.org/05ydjnb78","country_code":"DE","type":"education","lineage":["https://openalex.org/I186354981"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Franz J. Brandenburg","raw_affiliation_strings":["University of Passau, 94030, Passau, Germany"],"affiliations":[{"raw_affiliation_string":"University of Passau, 94030, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080729232"],"corresponding_institution_ids":["https://openalex.org/I186354981"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":14.1438,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.98691816,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"80","issue":"1","first_page":"1","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9973999857902527,"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":0.9973999857902527,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9937000274658203,"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"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/planar-graph","display_name":"Planar graph","score":0.7358274459838867},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6739469766616821},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5997223258018494},{"id":"https://openalex.org/keywords/book-embedding","display_name":"Book embedding","score":0.5725337266921997},{"id":"https://openalex.org/keywords/outerplanar-graph","display_name":"Outerplanar graph","score":0.5452391505241394},{"id":"https://openalex.org/keywords/butterfly-graph","display_name":"Butterfly graph","score":0.53486567735672},{"id":"https://openalex.org/keywords/planar-straight-line-graph","display_name":"Planar straight-line graph","score":0.5210249423980713},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4994392395019531},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4773431122303009},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.4381422996520996},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41608723998069763},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.3581780791282654},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.2949603497982025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21581390500068665}],"concepts":[{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.7358274459838867},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6739469766616821},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5997223258018494},{"id":"https://openalex.org/C180222743","wikidata":"https://www.wikidata.org/wiki/Q4942980","display_name":"Book embedding","level":5,"score":0.5725337266921997},{"id":"https://openalex.org/C125792925","wikidata":"https://www.wikidata.org/wiki/Q3115604","display_name":"Outerplanar graph","level":5,"score":0.5452391505241394},{"id":"https://openalex.org/C18819970","wikidata":"https://www.wikidata.org/wiki/Q3035340","display_name":"Butterfly graph","level":5,"score":0.53486567735672},{"id":"https://openalex.org/C131930043","wikidata":"https://www.wikidata.org/wiki/Q7200964","display_name":"Planar straight-line graph","level":5,"score":0.5210249423980713},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4994392395019531},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4773431122303009},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4381422996520996},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41608723998069763},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.3581780791282654},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.2949603497982025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21581390500068665}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00453-016-0226-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-016-0226-8","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1602.08022","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.08022","pdf_url":"https://arxiv.org/pdf/1602.08022","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1602.08022","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.08022","pdf_url":"https://arxiv.org/pdf/1602.08022","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"score":0.6899999976158142,"display_name":"Clean water and sanitation","id":"https://metadata.un.org/sdg/6"}],"awards":[{"id":"https://openalex.org/G2299626079","display_name":null,"funder_award_id":"Br835/18-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W42881399","https://openalex.org/W634834491","https://openalex.org/W1479684016","https://openalex.org/W1503857153","https://openalex.org/W1508113248","https://openalex.org/W1512007370","https://openalex.org/W1519664514","https://openalex.org/W1534309112","https://openalex.org/W1577544661","https://openalex.org/W1723997437","https://openalex.org/W1903431984","https://openalex.org/W1960374579","https://openalex.org/W1973774986","https://openalex.org/W1978917076","https://openalex.org/W1990163141","https://openalex.org/W1993576898","https://openalex.org/W2013338422","https://openalex.org/W2021281967","https://openalex.org/W2037591624","https://openalex.org/W2055127468","https://openalex.org/W2072057713","https://openalex.org/W2079157536","https://openalex.org/W2083421046","https://openalex.org/W2091733471","https://openalex.org/W2093843500","https://openalex.org/W2110336351","https://openalex.org/W2122778940","https://openalex.org/W2134344894","https://openalex.org/W2143831227","https://openalex.org/W2156153879","https://openalex.org/W2159869336","https://openalex.org/W2235009577","https://openalex.org/W2248326503","https://openalex.org/W2275362914","https://openalex.org/W2283831361","https://openalex.org/W2294414813","https://openalex.org/W2772525715","https://openalex.org/W2799803339","https://openalex.org/W2801305409","https://openalex.org/W2899777575","https://openalex.org/W2953136363","https://openalex.org/W2963675654","https://openalex.org/W2964235807","https://openalex.org/W4210777595","https://openalex.org/W4243580053","https://openalex.org/W4250827515","https://openalex.org/W4301349193","https://openalex.org/W6836172075"],"related_works":["https://openalex.org/W1759199114","https://openalex.org/W3216500139","https://openalex.org/W2048639803","https://openalex.org/W2039281885","https://openalex.org/W2011729204","https://openalex.org/W3192131378","https://openalex.org/W2114785943","https://openalex.org/W2112065783","https://openalex.org/W2133160845","https://openalex.org/W2083552626"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}