{"id":"https://openalex.org/W1586090198","doi":"https://doi.org/10.1007/978-3-642-25878-7_8","title":"Small Point Sets for Simply-Nested Planar Graphs","display_name":"Small Point Sets for Simply-Nested Planar Graphs","publication_year":2011,"publication_date":"2011-12-14","ids":{"openalex":"https://openalex.org/W1586090198","doi":"https://doi.org/10.1007/978-3-642-25878-7_8","mag":"1586090198"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-25878-7_8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-25878-7_8","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-25878-7_8.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%2F978-3-642-25878-7_8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010111302","display_name":"Patrizio Angelini","orcid":"https://orcid.org/0000-0002-7602-1524"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Patrizio Angelini","raw_affiliation_strings":["Dip.\u00a0di Informatica e Automazione, Roma Tre University, Italy"],"affiliations":[{"raw_affiliation_string":"Dip.\u00a0di Informatica e Automazione, Roma Tre University, Italy","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038655759","display_name":"Giuseppe Di Battista","orcid":"https://orcid.org/0000-0003-4224-1550"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Di Battista","raw_affiliation_strings":["Dip.\u00a0di Informatica e Automazione, Roma Tre University, Italy"],"affiliations":[{"raw_affiliation_string":"Dip.\u00a0di Informatica e Automazione, Roma Tre University, Italy","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103045561","display_name":"Michael Kaufmann","orcid":"https://orcid.org/0000-0001-9186-3538"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Kaufmann","raw_affiliation_strings":["Wilhelm-Schickard-Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, Germany"],"affiliations":[{"raw_affiliation_string":"Wilhelm-Schickard-Institut f\u00fcr Informatik, Universit\u00e4t T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037539653","display_name":"Tamara Mchedlidze","orcid":"https://orcid.org/0000-0001-6249-3419"},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Tamara Mchedlidze","raw_affiliation_strings":["Dept.\u00a0of Math., National Technical University of Athens, Greece"],"affiliations":[{"raw_affiliation_string":"Dept.\u00a0of Math., National Technical University of Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063275568","display_name":"Vincenzo Roselli","orcid":"https://orcid.org/0000-0002-5412-8136"},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Vincenzo Roselli","raw_affiliation_strings":["Dip.\u00a0di Informatica e Automazione, Roma Tre University, Italy"],"affiliations":[{"raw_affiliation_string":"Dip.\u00a0di Informatica e Automazione, Roma Tre University, Italy","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022463724","display_name":"Claudio Squarcella","orcid":null},"institutions":[{"id":"https://openalex.org/I119003972","display_name":"Roma Tre University","ror":"https://ror.org/05vf0dg29","country_code":"IT","type":"education","lineage":["https://openalex.org/I119003972"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Claudio Squarcella","raw_affiliation_strings":["Dip.\u00a0di Informatica e Automazione, Roma Tre University, Italy"],"affiliations":[{"raw_affiliation_string":"Dip.\u00a0di Informatica e Automazione, Roma Tre University, Italy","institution_ids":["https://openalex.org/I119003972"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5010111302"],"corresponding_institution_ids":["https://openalex.org/I119003972"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.2353,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.95819936,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"75","last_page":"85"},"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":0.9811999797821045,"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/T11870","display_name":"Structural Analysis and Optimization","score":0.9580000042915344,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/planar-graph","display_name":"Planar graph","score":0.7151005864143372},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6864441633224487},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.62943434715271},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6277546882629395},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5101690292358398},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4803413152694702},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.47087323665618896},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4683394432067871},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46351468563079834},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41243886947631836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3852316737174988},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11622145771980286},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05300474166870117}],"concepts":[{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.7151005864143372},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6864441633224487},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.62943434715271},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6277546882629395},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5101690292358398},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4803413152694702},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.47087323665618896},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4683394432067871},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46351468563079834},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41243886947631836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3852316737174988},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11622145771980286},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05300474166870117},{"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":3,"locations":[{"id":"doi:10.1007/978-3-642-25878-7_8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-25878-7_8","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-25878-7_8.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:dspace.lib.ntua.gr:123456789/36538","is_oa":true,"landing_page_url":"http://doi.org/10.1007/978-3-642-25878-7_8","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:gdea.informatik.uni-koeln.de:1242","is_oa":false,"landing_page_url":"http://gdea.informatik.uni-koeln.de/1242/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400857","display_name":"Graph Drawing E-print Archive (Die Universit\u00e4t zu K\u00f6ln)","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":"","raw_type":"Conference Paper"}],"best_oa_location":{"id":"doi:10.1007/978-3-642-25878-7_8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-25878-7_8","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-25878-7_8.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":[{"id":"https://openalex.org/G4542288252","display_name":null,"funder_award_id":"2008TFBWL4","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G5062723061","display_name":null,"funder_award_id":"10-EuroGIGA-OP-003 GraDR","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G5374134968","display_name":null,"funder_award_id":"European Social Fund","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7587757960","display_name":null,"funder_award_id":"10-EuroGIGA-OP-003 GraDR","funder_id":"https://openalex.org/F4320338080","funder_display_name":"European Social Fund"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320338080","display_name":"European Social Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1586090198.pdf","grobid_xml":"https://content.openalex.org/works/W1586090198.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1573857958","https://openalex.org/W1967785775","https://openalex.org/W1980218144","https://openalex.org/W1981505946","https://openalex.org/W1997262402","https://openalex.org/W2003525146","https://openalex.org/W2049284557","https://openalex.org/W2076787978","https://openalex.org/W2119115989","https://openalex.org/W2122264000","https://openalex.org/W2156760067","https://openalex.org/W2167892345"],"related_works":["https://openalex.org/W2081900870","https://openalex.org/W3216105633","https://openalex.org/W2082479932","https://openalex.org/W2990956612","https://openalex.org/W1798304401","https://openalex.org/W2476624396","https://openalex.org/W4302177579","https://openalex.org/W1606013690","https://openalex.org/W4293743430","https://openalex.org/W3006156235"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
