{"id":"https://openalex.org/W2120892678","doi":"https://doi.org/10.1142/s0218195997000144","title":"Convex Grid Drawings of 3-Connected Planar Graphs","display_name":"Convex Grid Drawings of 3-Connected Planar Graphs","publication_year":1997,"publication_date":"1997-06-01","ids":{"openalex":"https://openalex.org/W2120892678","doi":"https://doi.org/10.1142/s0218195997000144","mag":"2120892678"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195997000144","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195997000144","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dspace.library.uu.nl/handle/1874/16689","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024529572","display_name":"Marek Chrob\u00e1k","orcid":"https://orcid.org/0000-0002-8673-2709"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marek Chrobak","raw_affiliation_strings":["Department of Computer Science, University of California, Riverside, CA 92521, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California, Riverside, CA 92521, USA","institution_ids":["https://openalex.org/I103635307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040374945","display_name":"Goos Kant","orcid":"https://orcid.org/0000-0002-8042-4481"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Goos Kant","raw_affiliation_strings":["Department of Computer Science, Utrecht University, Padualaan 14, 3584 CH Utrecht, The Netherlands","Department of Computer Science, Utrecht University, Padualaan 14, 3584 CH Utrecht, the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Utrecht University, Padualaan 14, 3584 CH Utrecht, The Netherlands","institution_ids":["https://openalex.org/I193662353"]},{"raw_affiliation_string":"Department of Computer Science, Utrecht University, Padualaan 14, 3584 CH Utrecht, the Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0343,"has_fulltext":false,"cited_by_count":136,"citation_normalized_percentile":{"value":0.94001101,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"07","issue":"03","first_page":"211","last_page":"223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9678000211715698,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9657999873161316,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/combinatorics","display_name":"Combinatorics","score":0.7492490410804749},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.7412205934524536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.739648163318634},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5611065626144409},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5280728340148926},{"id":"https://openalex.org/keywords/planar-straight-line-graph","display_name":"Planar straight-line graph","score":0.524296224117279},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5067103505134583},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4720134437084198},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4555678069591522},{"id":"https://openalex.org/keywords/graph-embedding","display_name":"Graph embedding","score":0.4110445976257324},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3281342685222626},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.29048651456832886},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.2549329996109009},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24774670600891113},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.18018484115600586},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1389322578907013}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7492490410804749},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.7412205934524536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.739648163318634},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5611065626144409},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5280728340148926},{"id":"https://openalex.org/C131930043","wikidata":"https://www.wikidata.org/wiki/Q7200964","display_name":"Planar straight-line graph","level":5,"score":0.524296224117279},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5067103505134583},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4720134437084198},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4555678069591522},{"id":"https://openalex.org/C75564084","wikidata":"https://www.wikidata.org/wiki/Q5597085","display_name":"Graph embedding","level":3,"score":0.4110445976257324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3281342685222626},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.29048651456832886},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.2549329996109009},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24774670600891113},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.18018484115600586},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1389322578907013},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218195997000144","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195997000144","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.53.8691","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.53.8691","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ucr.edu/publications/tech_reports/UCR_CS_94_3.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.54.7631","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.7631","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ucr.edu/~marek/pubs/draw_convex.ps","raw_type":"text"},{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/16689","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/16689","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"","raw_type":"info:eu-repo/semantics/other"}],"best_oa_location":{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/16689","is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/16689","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"","raw_type":"info:eu-repo/semantics/other"},"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2123605750","https://openalex.org/W2002953601","https://openalex.org/W1525489434","https://openalex.org/W2082479932","https://openalex.org/W1971497628","https://openalex.org/W2476624396","https://openalex.org/W2003472496","https://openalex.org/W1518944340","https://openalex.org/W4210542918","https://openalex.org/W2161510538"],"abstract_inverted_index":{"We":[0,38],"consider":[1],"the":[2,6,19,26],"problem":[3],"of":[4,8,60],"embedding":[5,59],"vertices":[7],"a":[9,13,23,40,56,63],"plane":[10,20,48],"graph":[11],"into":[12,62],"small":[14],"(polynomial":[15],"size)":[16],"grid":[17],"in":[18,21],"such":[22,55],"way":[24],"that":[25],"edges":[27],"are":[28,35],"straight,":[29],"nonintersecting":[30],"line":[31],"segments":[32],"and":[33],"faces":[34],"convex":[36,58],"polygons.":[37],"present":[39],"linear-time":[41],"algorithm":[42],"which,":[43],"given":[44],"an":[45],"n-vertex":[46],"3-connected":[47],"G":[49,61],"(with":[50],"n":[51],"\u2265":[52],"3),":[53],"finds":[54],"straight-line":[57],"(n":[64,68],"-":[65,69],"2)":[66,70],"\u00d7":[67],"grid.":[71]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
