{"id":"https://openalex.org/W2032543589","doi":"https://doi.org/10.7155/jgaa.00218","title":"Geometric Simultaneous Embeddings of a Graph and a Matching","display_name":"Geometric Simultaneous Embeddings of a Graph and a Matching","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2032543589","doi":"https://doi.org/10.7155/jgaa.00218","mag":"2032543589"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.7155/jgaa.00218","pdf_url":null,"source":{"id":"https://openalex.org/S33451491","display_name":"Journal of Graph Algorithms and Applications","issn_l":"1526-1719","issn":["1526-1719"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.7155/jgaa.00218","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034923438","display_name":"Sergio Cabello","orcid":"https://orcid.org/0000-0002-3183-4126"},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Sergio Cabello","raw_affiliation_strings":["Faculty of Mathematics and Physics, University of Ljubljana, Slovenia"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, University of Ljubljana, Slovenia","institution_ids":["https://openalex.org/I153976015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053874521","display_name":"Marc van Kreveld","orcid":"https://orcid.org/0000-0001-8208-3468"},"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":"Marc van Kreveld","raw_affiliation_strings":["Department of Information and Computing Sciences, Utrecht University, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Information and Computing Sciences, Utrecht University, The Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"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":["Dipartimento di Ingegneria Elettronica e dell'Informazione, Universit\u00e0 di Perugia, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Elettronica e dell'Informazione, Universit\u00e0 di Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045375742","display_name":"Henk Meijer","orcid":"https://orcid.org/0000-0003-0406-3327"},"institutions":[{"id":"https://openalex.org/I2800036650","display_name":"Roosevelt Institute for American Studies","ror":"https://ror.org/05ck1h211","country_code":"NL","type":"facility","lineage":["https://openalex.org/I2800036650"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Henk Meijer","raw_affiliation_strings":["Roosevelt Academy, Middelburg, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Roosevelt Academy, Middelburg, The Netherlands","institution_ids":["https://openalex.org/I2800036650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000420564","display_name":"Bettina Speckmann","orcid":"https://orcid.org/0000-0002-8514-7858"},"institutions":[{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Bettina Speckmann","raw_affiliation_strings":["Algorithms"],"affiliations":[{"raw_affiliation_string":"Algorithms","institution_ids":["https://openalex.org/I4210099593"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053109913","display_name":"Kevin Verbeek","orcid":"https://orcid.org/0000-0003-3052-4844"},"institutions":[{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Kevin Verbeek","raw_affiliation_strings":["Algorithms"],"affiliations":[{"raw_affiliation_string":"Algorithms","institution_ids":["https://openalex.org/I4210099593"]}]}],"institution_assertions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"USD","value_usd":0,"provenance":"doaj"},"apc_paid":null,"fwci":5.908,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":17,"citation_normalized_percentile":{"value":0.931858,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":89},"biblio":{"volume":"15","issue":"1","first_page":"79","last_page":"96"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9987,"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":0.9987,"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/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9645,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9549,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/book-embedding","display_name":"Book embedding","score":0.84727466},{"id":"https://openalex.org/keywords/planar-straight-line-graph","display_name":"Planar straight-line graph","score":0.64421725},{"id":"https://openalex.org/keywords/graph-embedding","display_name":"Graph Embedding","score":0.467327},{"id":"https://openalex.org/keywords/outerplanar-graph","display_name":"Outerplanar graph","score":0.45315668}],"concepts":[{"id":"https://openalex.org/C180222743","wikidata":"https://www.wikidata.org/wiki/Q4942980","display_name":"Book embedding","level":5,"score":0.84727466},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.7695984},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.76722276},{"id":"https://openalex.org/C131930043","wikidata":"https://www.wikidata.org/wiki/Q7200964","display_name":"Planar straight-line graph","level":5,"score":0.64421725},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6434932},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6379445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5306641},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.46941194},{"id":"https://openalex.org/C75564084","wikidata":"https://www.wikidata.org/wiki/Q5597085","display_name":"Graph embedding","level":3,"score":0.467327},{"id":"https://openalex.org/C125792925","wikidata":"https://www.wikidata.org/wiki/Q3115604","display_name":"Outerplanar graph","level":5,"score":0.45315668},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.42614597},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.39260972},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.37900886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35928467},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35324103},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12708199},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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":3,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.7155/jgaa.00218","pdf_url":null,"source":{"id":"https://openalex.org/S33451491","display_name":"Journal of Graph Algorithms and Applications","issn_l":"1526-1719","issn":["1526-1719"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://pure.tue.nl/ws/files/3503053/Metis253301.pdf","pdf_url":"https://pure.tue.nl/ws/files/3503053/Metis253301.pdf","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/61e13872-4b13-45e4-a78b-0f3513b5e499","pdf_url":"https://research.tue.nl/files/3503053/Metis253301.pdf","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.7155/jgaa.00218","pdf_url":null,"source":{"id":"https://openalex.org/S33451491","display_name":"Journal of Graph Algorithms and Applications","issn_l":"1526-1719","issn":["1526-1719"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":10,"referenced_works":["https://openalex.org/W1483285511","https://openalex.org/W1522840240","https://openalex.org/W1999600491","https://openalex.org/W2025485890","https://openalex.org/W2052116986","https://openalex.org/W2062394719","https://openalex.org/W2102756478","https://openalex.org/W2108115761","https://openalex.org/W2139146581","https://openalex.org/W2157479314"],"related_works":["https://openalex.org/W3101895193","https://openalex.org/W2413835308","https://openalex.org/W2133160845","https://openalex.org/W2114785943","https://openalex.org/W2112065783","https://openalex.org/W2083552626","https://openalex.org/W2048639803","https://openalex.org/W2002953601","https://openalex.org/W1759199114","https://openalex.org/W1525489434"],"abstract_inverted_index":{"The":[0],"geometric":[1],"simultaneous":[2,31],"embedding":[3,32],"problem":[4],"asks":[5],"whether":[6],"two":[7],"planar":[8],"graphs":[9,55,73],"on":[10],"the":[11,17,63,67,72],"same":[12],"set":[13],"of":[14,50,71],"vertices":[15],"in":[16,37],"plane":[18],"can":[19],"be":[20],"drawn":[21],"using":[22],"straight":[23],"lines,":[24],"such":[25],"that":[26],"each":[27],"graph":[28,38],"is":[29,33,74],"plane.Geometric":[30],"a":[34,75],"current":[35],"topic":[36],"drawing":[39],"and":[40,42],"positive":[41],"negative":[43],"results":[44,65],"are":[45],"known":[46],"for":[47,66],"various":[48],"classes":[49],"graphs.So":[51],"far":[52],"only":[53],"connected":[54],"have":[56],"been":[57],"considered.In":[58],"this":[59],"paper":[60],"we":[61],"present":[62],"first":[64],"setting":[68],"where":[69],"one":[70],"matching.":[76]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2032543589","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-01-08T08:24:55.415773","created_date":"2016-06-24"}