{"id":"https://openalex.org/W2221659697","doi":"https://doi.org/10.1007/978-3-662-49529-2_30","title":"On the Planar Split Thickness of Graphs","display_name":"On the Planar Split Thickness of Graphs","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2221659697","doi":"https://doi.org/10.1007/978-3-662-49529-2_30","mag":"2221659697"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-49529-2_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-49529-2_30","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":"book-chapter","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1512.04839","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108527295","display_name":"David Eppstein","orcid":null},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Eppstein","raw_affiliation_strings":["University of California, Irvine, USA"],"affiliations":[{"raw_affiliation_string":"University of California, Irvine, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029516206","display_name":"Philipp Kindermann","orcid":"https://orcid.org/0000-0001-5764-7719"},"institutions":[{"id":"https://openalex.org/I120691247","display_name":"University of Hagen","ror":"https://ror.org/04tkkr536","country_code":"DE","type":"education","lineage":["https://openalex.org/I120691247"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Philipp Kindermann","raw_affiliation_strings":["FernUniversit\u00e4t Hagen, Hagen, Germany"],"affiliations":[{"raw_affiliation_string":"FernUniversit\u00e4t Hagen, Hagen, Germany","institution_ids":["https://openalex.org/I120691247"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003147292","display_name":"Stephen Kobourov","orcid":"https://orcid.org/0000-0002-0477-2724"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen Kobourov","raw_affiliation_strings":["University of Arizona, Tucson, USA"],"affiliations":[{"raw_affiliation_string":"University of Arizona, Tucson, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008995859","display_name":"Giuseppe Liotta","orcid":"https://orcid.org/0000-0002-2886-9694"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Liotta","raw_affiliation_strings":["Universit\u00e0 Degli Studi di Perugia, Perugia, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 Degli Studi di Perugia, Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044299176","display_name":"Anna Lubiw","orcid":"https://orcid.org/0000-0002-2338-361X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Anna Lubiw","raw_affiliation_strings":["University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091329327","display_name":"Aude Maignan","orcid":"https://orcid.org/0000-0002-0905-2515"},"institutions":[{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Aude Maignan","raw_affiliation_strings":["Universit\u00e9 Grenoble Alpes, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I899635006"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015544517","display_name":"Debajyoti Mondal","orcid":"https://orcid.org/0000-0002-7370-8697"},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Debajyoti Mondal","raw_affiliation_strings":["University of Manitoba, Winnipeg, Canada"],"affiliations":[{"raw_affiliation_string":"University of Manitoba, Winnipeg, Canada","institution_ids":["https://openalex.org/I46247651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063644997","display_name":"Hamideh Vosoughpour","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hamideh Vosoughpour","raw_affiliation_strings":["University of Waterloo, Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036116001","display_name":"Sue Whitesides","orcid":null},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sue Whitesides","raw_affiliation_strings":["University of Victoria, Victoria, Canada"],"affiliations":[{"raw_affiliation_string":"University of Victoria, Victoria, Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008980479","display_name":"Stephen Wismath","orcid":"https://orcid.org/0000-0002-9632-3247"},"institutions":[{"id":"https://openalex.org/I107949126","display_name":"University of Lethbridge","ror":"https://ror.org/044j76961","country_code":"CA","type":"education","lineage":["https://openalex.org/I107949126"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Stephen Wismath","raw_affiliation_strings":["University of Lethbridge, Lethbridge, Canada"],"affiliations":[{"raw_affiliation_string":"University of Lethbridge, Lethbridge, Canada","institution_ids":["https://openalex.org/I107949126"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":10,"corresponding_author_ids":["https://openalex.org/A5015544517"],"corresponding_institution_ids":["https://openalex.org/I46247651"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5006,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56624473,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"403","last_page":"415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9991000294685364,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9959999918937683,"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/planar-graph","display_name":"Planar graph","score":0.7181185483932495},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6714295148849487},{"id":"https://openalex.org/keywords/outerplanar-graph","display_name":"Outerplanar graph","score":0.6625184416770935},{"id":"https://openalex.org/keywords/book-embedding","display_name":"Book embedding","score":0.6197924613952637},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.5870461463928223},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.5399631857872009},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.4841457009315491},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.4775622487068176},{"id":"https://openalex.org/keywords/planar-straight-line-graph","display_name":"Planar straight-line graph","score":0.44794395565986633},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.41649162769317627},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41436487436294556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39829009771347046},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3970940113067627},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3784032464027405},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.3344349265098572},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2400330901145935}],"concepts":[{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.7181185483932495},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6714295148849487},{"id":"https://openalex.org/C125792925","wikidata":"https://www.wikidata.org/wiki/Q3115604","display_name":"Outerplanar graph","level":5,"score":0.6625184416770935},{"id":"https://openalex.org/C180222743","wikidata":"https://www.wikidata.org/wiki/Q4942980","display_name":"Book embedding","level":5,"score":0.6197924613952637},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.5870461463928223},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.5399631857872009},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.4841457009315491},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.4775622487068176},{"id":"https://openalex.org/C131930043","wikidata":"https://www.wikidata.org/wiki/Q7200964","display_name":"Planar straight-line graph","level":5,"score":0.44794395565986633},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.41649162769317627},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41436487436294556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39829009771347046},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3970940113067627},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3784032464027405},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.3344349265098572},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2400330901145935}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-662-49529-2_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-49529-2_30","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:1512.04839","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1512.04839","pdf_url":"https://arxiv.org/pdf/1512.04839","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"},{"id":"pmh:oai:HAL:hal-01326779v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01326779","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://latin2016.natix.org/","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1512.04839","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1512.04839","pdf_url":"https://arxiv.org/pdf/1512.04839","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1542360804","https://openalex.org/W1863202611","https://openalex.org/W1985000598","https://openalex.org/W2111635834","https://openalex.org/W2322503310"],"related_works":["https://openalex.org/W2009558719","https://openalex.org/W43225448","https://openalex.org/W2133160845","https://openalex.org/W2413835308","https://openalex.org/W2395770054","https://openalex.org/W4327673321","https://openalex.org/W2953040170","https://openalex.org/W4255751875","https://openalex.org/W2605313623","https://openalex.org/W4301463689"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
