{"id":"https://openalex.org/W1812987573","doi":"https://doi.org/10.1007/978-3-642-11805-0_29","title":"The Planar Slope Number of Planar Partial 3-Trees of Bounded Degree","display_name":"The Planar Slope Number of Planar Partial 3-Trees of Bounded Degree","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1812987573","doi":"https://doi.org/10.1007/978-3-642-11805-0_29","mag":"1812987573"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-11805-0_29","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-11805-0_29","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-11805-0_29.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-11805-0_29.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005488534","display_name":"V\u00edt Jel\u00ednek","orcid":"https://orcid.org/0000-0003-4831-4079"},"institutions":[{"id":"https://openalex.org/I123185442","display_name":"Reykjav\u00edk University","ror":"https://ror.org/05d2kyx68","country_code":"IS","type":"education","lineage":["https://openalex.org/I123185442"]},{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ","IS"],"is_corresponding":true,"raw_author_name":"V\u00edt Jel\u00ednek","raw_affiliation_strings":["Combinatorics Group, Reykjav\u00edk University,","Department of Applied Mathematics, Charles University in Prague,"],"affiliations":[{"raw_affiliation_string":"Combinatorics Group, Reykjav\u00edk University,","institution_ids":["https://openalex.org/I123185442"]},{"raw_affiliation_string":"Department of Applied Mathematics, Charles University in Prague,","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025084210","display_name":"Eva Jel\u00ednkov\u00e1","orcid":"https://orcid.org/0000-0001-8410-8008"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Eva Jel\u00ednkov\u00e1","raw_affiliation_strings":["Department of Applied Mathematics, Charles University in Prague,"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Charles University in Prague,","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066646775","display_name":"Jan Kratochv\u0131\u0301l","orcid":"https://orcid.org/0000-0002-2620-6133"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jan Kratochv\u00edl","raw_affiliation_strings":["Department of Applied Mathematics, Charles University in Prague,","Institute for Theoretical Computer Science, Charles University in Prague,"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Charles University in Prague,","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Institute for Theoretical Computer Science, Charles University in Prague,","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052932128","display_name":"Bernard Lidick\u00fd","orcid":"https://orcid.org/0000-0001-8612-3594"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Bernard Lidick\u00fd","raw_affiliation_strings":["Department of Applied Mathematics, Charles University in Prague,"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Charles University in Prague,","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084805023","display_name":"Marek Tesa\u0159","orcid":null},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Marek Tesa\u0159","raw_affiliation_strings":["Department of Applied Mathematics, Charles University in Prague,"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Charles University in Prague,","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043504519","display_name":"Tom\u00e1\u0161 Vysko\u010dil","orcid":"https://orcid.org/0000-0003-1256-6151"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Tom\u00e1\u0161 Vysko\u010dil","raw_affiliation_strings":["Department of Applied Mathematics, Charles University in Prague,","Institute for Theoretical Computer Science, Charles University in Prague,"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Charles University in Prague,","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Institute for Theoretical Computer Science, Charles University in Prague,","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5005488534"],"corresponding_institution_ids":["https://openalex.org/I123185442","https://openalex.org/I21250087"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.0475,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.9470305,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"304","last_page":"315"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.991599977016449,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/planar-graph","display_name":"Planar graph","score":0.8479718565940857},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.8080106973648071},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6512511372566223},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6479943990707397},{"id":"https://openalex.org/keywords/outerplanar-graph","display_name":"Outerplanar graph","score":0.6304845213890076},{"id":"https://openalex.org/keywords/planar-straight-line-graph","display_name":"Planar straight-line graph","score":0.6271008253097534},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6079725623130798},{"id":"https://openalex.org/keywords/book-embedding","display_name":"Book embedding","score":0.5965222120285034},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.58228600025177},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5674527883529663},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4674590229988098},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4526127278804779},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.391600638628006},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3750472664833069},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.34834936261177063},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.2216501533985138},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17236998677253723},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.14765822887420654},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12801799178123474},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12429028749465942}],"concepts":[{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.8479718565940857},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.8080106973648071},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6512511372566223},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6479943990707397},{"id":"https://openalex.org/C125792925","wikidata":"https://www.wikidata.org/wiki/Q3115604","display_name":"Outerplanar graph","level":5,"score":0.6304845213890076},{"id":"https://openalex.org/C131930043","wikidata":"https://www.wikidata.org/wiki/Q7200964","display_name":"Planar straight-line graph","level":5,"score":0.6271008253097534},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6079725623130798},{"id":"https://openalex.org/C180222743","wikidata":"https://www.wikidata.org/wiki/Q4942980","display_name":"Book embedding","level":5,"score":0.5965222120285034},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.58228600025177},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5674527883529663},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4674590229988098},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4526127278804779},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.391600638628006},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3750472664833069},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.34834936261177063},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.2216501533985138},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17236998677253723},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.14765822887420654},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12801799178123474},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12429028749465942},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-11805-0_29","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-11805-0_29","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-11805-0_29.pdf","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:gdea.informatik.uni-koeln.de:1090","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196197","display_name":"gdea - Graph Drawing E-print Archive (GDEA)","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":{"id":"doi:10.1007/978-3-642-11805-0_29","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-11805-0_29","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-11805-0_29.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1812987573.pdf","grobid_xml":"https://content.openalex.org/works/W1812987573.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1481467541","https://openalex.org/W1987886060","https://openalex.org/W1998148652","https://openalex.org/W2094553252","https://openalex.org/W2143221586","https://openalex.org/W2166953080","https://openalex.org/W2168266982","https://openalex.org/W2999754662","https://openalex.org/W3103264504"],"related_works":["https://openalex.org/W2009558719","https://openalex.org/W43225448","https://openalex.org/W2413835308","https://openalex.org/W4327673321","https://openalex.org/W2953040170","https://openalex.org/W2395770054","https://openalex.org/W2963028755","https://openalex.org/W4300721795","https://openalex.org/W4255751875","https://openalex.org/W2750415048"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
