{"id":"https://openalex.org/W3081327080","doi":"https://doi.org/10.1007/978-3-030-68766-3_15","title":"A Tipping Point for the Planarity of Small and Medium Sized Graphs","display_name":"A Tipping Point for the Planarity of Small and Medium Sized Graphs","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3081327080","doi":"https://doi.org/10.1007/978-3-030-68766-3_15","mag":"3081327080"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-68766-3_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-68766-3_15","pdf_url":null,"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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2008.09405","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062371401","display_name":"Emanuele Balloni","orcid":"https://orcid.org/0000-0002-9510-5758"},"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":"Emanuele Balloni","raw_affiliation_strings":["Roma Tre University, Rome, Italy","[ROMA TRE University, Rome, Italy]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Roma Tre University, Rome, Italy","institution_ids":["https://openalex.org/I119003972"]},{"raw_affiliation_string":"[ROMA TRE University, Rome, 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":["Roma Tre University, Rome, Italy","Roma Tre\u201d University\u201c"],"raw_orcid":"https://orcid.org/0000-0003-4224-1550","affiliations":[{"raw_affiliation_string":"Roma Tre University, Rome, Italy","institution_ids":["https://openalex.org/I119003972"]},{"raw_affiliation_string":"Roma Tre\u201d University\u201c","institution_ids":["https://openalex.org/I119003972"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050938227","display_name":"Maurizio Patrignani","orcid":"https://orcid.org/0000-0001-9806-7411"},"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":"Maurizio Patrignani","raw_affiliation_strings":["Roma Tre University, Rome, Italy","Roma Tre\u201d University\u201c"],"raw_orcid":"https://orcid.org/0000-0001-9806-7411","affiliations":[{"raw_affiliation_string":"Roma Tre University, Rome, Italy","institution_ids":["https://openalex.org/I119003972"]},{"raw_affiliation_string":"Roma Tre\u201d University\u201c","institution_ids":["https://openalex.org/I119003972"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062371401"],"corresponding_institution_ids":["https://openalex.org/I119003972"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16395992,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"181","last_page":"188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9750000238418579,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9750000238418579,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9657999873161316,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9524000287055969,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/planarity-testing","display_name":"Planarity testing","score":0.9924740791320801},{"id":"https://openalex.org/keywords/tipping-point","display_name":"Tipping point (physics)","score":0.5378204584121704},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5180702209472656},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4987976551055908},{"id":"https://openalex.org/keywords/transition-point","display_name":"Transition point","score":0.48348551988601685},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4812612235546112},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4787996709346771},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4766013026237488},{"id":"https://openalex.org/keywords/critical-point","display_name":"Critical point (mathematics)","score":0.4172819256782532},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.358489453792572},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.26980578899383545},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26384273171424866},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20846503973007202},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.11650350689888},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08170536160469055},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06108132004737854}],"concepts":[{"id":"https://openalex.org/C68260962","wikidata":"https://www.wikidata.org/wiki/Q7200967","display_name":"Planarity testing","level":2,"score":0.9924740791320801},{"id":"https://openalex.org/C114725131","wikidata":"https://www.wikidata.org/wiki/Q190837","display_name":"Tipping point (physics)","level":2,"score":0.5378204584121704},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5180702209472656},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4987976551055908},{"id":"https://openalex.org/C168907044","wikidata":"https://www.wikidata.org/wiki/Q7834431","display_name":"Transition point","level":2,"score":0.48348551988601685},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4812612235546112},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4787996709346771},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4766013026237488},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.4172819256782532},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.358489453792572},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26980578899383545},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26384273171424866},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20846503973007202},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.11650350689888},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08170536160469055},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06108132004737854},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-030-68766-3_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-68766-3_15","pdf_url":null,"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:arXiv.org:2008.09405","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.09405","pdf_url":"https://arxiv.org/pdf/2008.09405","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":"","raw_type":"text"},{"id":"mag:3081327080","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2008.09405.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:iris.uniroma3.it:11590/385599","is_oa":false,"landing_page_url":"http://hdl.handle.net/11590/385599","pdf_url":null,"source":{"id":"https://openalex.org/S4377196120","display_name":"Iris (Roma Tre University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119003972","host_organization_name":"Roma Tre University","host_organization_lineage":["https://openalex.org/I119003972"],"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":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.48550/arxiv.2008.09405","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2008.09405","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2008.09405","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2008.09405","pdf_url":"https://arxiv.org/pdf/2008.09405","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1981505946","https://openalex.org/W2003525146","https://openalex.org/W2012184276","https://openalex.org/W2082388593","https://openalex.org/W2478722229","https://openalex.org/W2564962834","https://openalex.org/W2601088532","https://openalex.org/W2772525715","https://openalex.org/W2796841069","https://openalex.org/W2799803339","https://openalex.org/W2884635977","https://openalex.org/W2905110430","https://openalex.org/W2964235807","https://openalex.org/W3023963925","https://openalex.org/W3024883420","https://openalex.org/W3123018062","https://openalex.org/W3135256848","https://openalex.org/W3143219376","https://openalex.org/W3144881883"],"related_works":["https://openalex.org/W3135256848","https://openalex.org/W1588964901"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}