{"id":"https://openalex.org/W2110336351","doi":"https://doi.org/10.1007/978-3-642-18381-2_6","title":"The Straight-Line RAC Drawing Problem Is NP-Hard","display_name":"The Straight-Line RAC Drawing Problem Is NP-Hard","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2110336351","doi":"https://doi.org/10.1007/978-3-642-18381-2_6","mag":"2110336351"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-18381-2_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18381-2_6","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/1009.5227","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090680620","display_name":"Evmorfia N. Argyriou","orcid":null},"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":true,"raw_author_name":"Evmorfia N. Argyriou","raw_affiliation_strings":["School of Applied Mathematical & Physical Sciences, National Technical University of Athens, Greece"],"affiliations":[{"raw_affiliation_string":"School of Applied Mathematical & Physical Sciences, National Technical University of Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006472576","display_name":"Michael A. Bekos","orcid":"https://orcid.org/0000-0002-3414-7444"},"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":"Michael A. Bekos","raw_affiliation_strings":["School of Applied Mathematical & Physical Sciences, National Technical University of Athens, Greece"],"affiliations":[{"raw_affiliation_string":"School of Applied Mathematical & Physical Sciences, National Technical University of Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011976306","display_name":"Antonios Symvonis","orcid":"https://orcid.org/0000-0002-0280-741X"},"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":"Antonios Symvonis","raw_affiliation_strings":["School of Applied Mathematical & Physical Sciences, National Technical University of Athens, Greece"],"affiliations":[{"raw_affiliation_string":"School of Applied Mathematical & Physical Sciences, National Technical University of Athens, Greece","institution_ids":["https://openalex.org/I174458059"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090680620"],"corresponding_institution_ids":["https://openalex.org/I174458059"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":8.4118,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.99356913,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"74","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":0.9993000030517578,"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":0.9993000030517578,"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/T10799","display_name":"Data Visualization and Analytics","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9782000184059143,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/graph-drawing","display_name":"Graph drawing","score":0.6091811060905457},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6064080595970154},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5961753129959106},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5925706028938293},{"id":"https://openalex.org/keywords/crossing-number","display_name":"Crossing number (knot theory)","score":0.5421349406242371},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5367618203163147},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4941101372241974},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49318045377731323},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4864187240600586},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.4137859344482422},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3720412254333496},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2729916572570801},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25712645053863525},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17150086164474487},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16764381527900696}],"concepts":[{"id":"https://openalex.org/C112953755","wikidata":"https://www.wikidata.org/wiki/Q739462","display_name":"Graph drawing","level":3,"score":0.6091811060905457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6064080595970154},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5961753129959106},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5925706028938293},{"id":"https://openalex.org/C2777724877","wikidata":"https://www.wikidata.org/wiki/Q2548661","display_name":"Crossing number (knot theory)","level":3,"score":0.5421349406242371},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5367618203163147},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4941101372241974},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49318045377731323},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4864187240600586},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.4137859344482422},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3720412254333496},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2729916572570801},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25712645053863525},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17150086164474487},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16764381527900696},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-18381-2_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18381-2_6","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:1009.5227","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1009.5227","pdf_url":"https://arxiv.org/pdf/1009.5227","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:dspace.lib.ntua.gr:123456789/33178","is_oa":true,"landing_page_url":"http://doi.org/10.1007/978-3-642-18381-2_6","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1009.5227","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1009.5227","pdf_url":"https://arxiv.org/pdf/1009.5227","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1490584244","https://openalex.org/W1502938161","https://openalex.org/W1507334195","https://openalex.org/W1532231120","https://openalex.org/W1594340659","https://openalex.org/W1594646135","https://openalex.org/W1770850069","https://openalex.org/W1772951445","https://openalex.org/W1814658915","https://openalex.org/W1879570458","https://openalex.org/W1931404780","https://openalex.org/W1970282908","https://openalex.org/W1976571119","https://openalex.org/W1985118207","https://openalex.org/W1986266847","https://openalex.org/W1990163141","https://openalex.org/W1992709202","https://openalex.org/W2011039300","https://openalex.org/W2046203894","https://openalex.org/W2057352080","https://openalex.org/W2060538865","https://openalex.org/W2081223146","https://openalex.org/W2091833930","https://openalex.org/W2102664288","https://openalex.org/W2110336351","https://openalex.org/W2129038900","https://openalex.org/W2143699278","https://openalex.org/W2149394137","https://openalex.org/W2155493403","https://openalex.org/W2157479314","https://openalex.org/W2170071395","https://openalex.org/W2401601933","https://openalex.org/W2964229566","https://openalex.org/W4248764083","https://openalex.org/W4285719527","https://openalex.org/W6834488281"],"related_works":["https://openalex.org/W4300033728","https://openalex.org/W2049597710","https://openalex.org/W1483246560","https://openalex.org/W1594340659","https://openalex.org/W4205588752","https://openalex.org/W2090721104","https://openalex.org/W1546096271","https://openalex.org/W2045253938","https://openalex.org/W4249815522","https://openalex.org/W3089802901"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":8}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}