{"id":"https://openalex.org/W2093843500","doi":"https://doi.org/10.1007/s00453-015-0002-1","title":"Outer 1-Planar Graphs","display_name":"Outer 1-Planar Graphs","publication_year":2015,"publication_date":"2015-04-21","ids":{"openalex":"https://openalex.org/W2093843500","doi":"https://doi.org/10.1007/s00453-015-0002-1","mag":"2093843500"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-015-0002-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-015-0002-1","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":["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/A5109206733","display_name":"Christopher Auer","orcid":null},"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":false,"raw_author_name":"Christopher Auer","raw_affiliation_strings":["University of Passau, 94030, Passau, Germany","University of Passau, Passau, Germany 94030#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Passau, 94030, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]},{"raw_affiliation_string":"University of Passau, Passau, Germany 94030#TAB#","institution_ids":["https://openalex.org/I186354981"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043464918","display_name":"Christian Bachmaier","orcid":null},"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":"Christian Bachmaier","raw_affiliation_strings":["University of Passau, 94030, Passau, Germany","University of Passau, Passau, Germany 94030#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Passau, 94030, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]},{"raw_affiliation_string":"University of Passau, Passau, Germany 94030#TAB#","institution_ids":["https://openalex.org/I186354981"]}]},{"author_position":"middle","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":false,"raw_author_name":"Franz J. Brandenburg","raw_affiliation_strings":["University of Passau, 94030, Passau, Germany","University of Passau, Passau, Germany 94030#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Passau, 94030, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]},{"raw_affiliation_string":"University of Passau, Passau, Germany 94030#TAB#","institution_ids":["https://openalex.org/I186354981"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079227206","display_name":"Andreas Glei\u00dfner","orcid":"https://orcid.org/0000-0002-3409-6835"},"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":false,"raw_author_name":"Andreas Glei\u00dfner","raw_affiliation_strings":["University of Passau, 94030, Passau, Germany","University of Passau, Passau, Germany 94030#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Passau, 94030, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]},{"raw_affiliation_string":"University of Passau, Passau, Germany 94030#TAB#","institution_ids":["https://openalex.org/I186354981"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050323867","display_name":"Kathrin Hanauer","orcid":"https://orcid.org/0000-0002-5945-837X"},"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":false,"raw_author_name":"Kathrin Hanauer","raw_affiliation_strings":["University of Passau, 94030, Passau, Germany","University of Passau, Passau, Germany 94030#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Passau, 94030, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]},{"raw_affiliation_string":"University of Passau, Passau, Germany 94030#TAB#","institution_ids":["https://openalex.org/I186354981"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042544378","display_name":"Daniel Neuwirth","orcid":null},"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":false,"raw_author_name":"Daniel Neuwirth","raw_affiliation_strings":["University of Passau, 94030, Passau, Germany","University of Passau, Passau, Germany 94030#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Passau, 94030, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]},{"raw_affiliation_string":"University of Passau, Passau, Germany 94030#TAB#","institution_ids":["https://openalex.org/I186354981"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005340491","display_name":"Josef Reislhuber","orcid":null},"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":false,"raw_author_name":"Josef Reislhuber","raw_affiliation_strings":["University of Passau, 94030, Passau, Germany","University of Passau, Passau, Germany 94030#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Passau, 94030, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]},{"raw_affiliation_string":"University of Passau, Passau, Germany 94030#TAB#","institution_ids":["https://openalex.org/I186354981"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5043464918"],"corresponding_institution_ids":["https://openalex.org/I186354981"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":20.3695,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.99435115,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"74","issue":"4","first_page":"1293","last_page":"1320"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9944999814033508,"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":0.8363325595855713},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.7127752304077148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6808487176895142},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.6596254706382751},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.5954045653343201},{"id":"https://openalex.org/keywords/outerplanar-graph","display_name":"Outerplanar graph","score":0.5303776264190674},{"id":"https://openalex.org/keywords/book-embedding","display_name":"Book embedding","score":0.4950198531150818},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.4819764494895935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.479884535074234},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.322152704000473},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3081676959991455}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8363325595855713},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.7127752304077148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6808487176895142},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.6596254706382751},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.5954045653343201},{"id":"https://openalex.org/C125792925","wikidata":"https://www.wikidata.org/wiki/Q3115604","display_name":"Outerplanar graph","level":5,"score":0.5303776264190674},{"id":"https://openalex.org/C180222743","wikidata":"https://www.wikidata.org/wiki/Q4942980","display_name":"Book embedding","level":5,"score":0.4950198531150818},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.4819764494895935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.479884535074234},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.322152704000473},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3081676959991455}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00453-015-0002-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00453-015-0002-1","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W49135760","https://openalex.org/W1534309112","https://openalex.org/W1566410171","https://openalex.org/W1648748816","https://openalex.org/W1656795039","https://openalex.org/W1723997437","https://openalex.org/W1960374579","https://openalex.org/W1973774986","https://openalex.org/W1976024742","https://openalex.org/W1981505946","https://openalex.org/W1987216097","https://openalex.org/W1991755800","https://openalex.org/W1998294201","https://openalex.org/W2001019475","https://openalex.org/W2003525146","https://openalex.org/W2008443107","https://openalex.org/W2011039300","https://openalex.org/W2013338422","https://openalex.org/W2021281967","https://openalex.org/W2025214096","https://openalex.org/W2028446993","https://openalex.org/W2045730620","https://openalex.org/W2055127468","https://openalex.org/W2059372025","https://openalex.org/W2070459622","https://openalex.org/W2081599503","https://openalex.org/W2083421046","https://openalex.org/W2091733471","https://openalex.org/W2093092867","https://openalex.org/W2102664288","https://openalex.org/W2122778940","https://openalex.org/W2124498152","https://openalex.org/W2134344894","https://openalex.org/W2134749372","https://openalex.org/W2143831227","https://openalex.org/W2148360835","https://openalex.org/W2151422426","https://openalex.org/W2159869336","https://openalex.org/W2161714963","https://openalex.org/W2174713390","https://openalex.org/W2275362914","https://openalex.org/W2799803339","https://openalex.org/W2964235807","https://openalex.org/W4253229898","https://openalex.org/W4285719527","https://openalex.org/W6724034425","https://openalex.org/W6724258321"],"related_works":["https://openalex.org/W3119883127","https://openalex.org/W2133160845","https://openalex.org/W3101895193","https://openalex.org/W4226287252","https://openalex.org/W3168322841","https://openalex.org/W2312623659","https://openalex.org/W43225448","https://openalex.org/W2741008216","https://openalex.org/W4317384009","https://openalex.org/W2738197751"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
