{"id":"https://openalex.org/W3012693387","doi":"https://doi.org/10.1007/s00224-022-10110-y","title":"On Embeddability of Unit Disk Graphs Onto Straight Lines","display_name":"On Embeddability of Unit Disk Graphs Onto Straight Lines","publication_year":2022,"publication_date":"2022-12-17","ids":{"openalex":"https://openalex.org/W3012693387","doi":"https://doi.org/10.1007/s00224-022-10110-y","mag":"3012693387"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-022-10110-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-022-10110-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"0025-5661","issn":["0025-5661","1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024580140","display_name":"Onur \u00c7a\u011f\u0131r\u0131c\u0131","orcid":"https://orcid.org/0000-0002-4785-7496"},"institutions":[{"id":"https://openalex.org/I530967","display_name":"Toronto Metropolitan University","ror":"https://ror.org/05g13zd79","country_code":"CA","type":"education","lineage":["https://openalex.org/I530967"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Onur \u00c7a\u011f\u0131r\u0131c\u0131","raw_affiliation_strings":["Department of Computer Science, Ryerson University, Toronto, Canada"],"raw_orcid":"https://orcid.org/0000-0002-4785-7496","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Ryerson University, Toronto, Canada","institution_ids":["https://openalex.org/I530967"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024580140"],"corresponding_institution_ids":["https://openalex.org/I530967"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00632768,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"67","issue":"2","first_page":"264","last_page":"289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9998000264167786,"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":0.998199999332428,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9965000152587891,"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/unit-disk-graph","display_name":"Unit disk graph","score":0.789364218711853},{"id":"https://openalex.org/keywords/unit-disk","display_name":"Unit disk","score":0.782624363899231},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5767687559127808},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5097426772117615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5080122947692871},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5046719312667847},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.49009761214256287},{"id":"https://openalex.org/keywords/intersection-graph","display_name":"Intersection graph","score":0.4632920026779175},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.4561462104320526},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4527835547924042},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.44599205255508423},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.43950653076171875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3691418468952179},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34481415152549744},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.3258296847343445},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15532302856445312},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06575438380241394}],"concepts":[{"id":"https://openalex.org/C130184317","wikidata":"https://www.wikidata.org/wiki/Q3115549","display_name":"Unit disk graph","level":4,"score":0.789364218711853},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.782624363899231},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5767687559127808},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5097426772117615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5080122947692871},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5046719312667847},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.49009761214256287},{"id":"https://openalex.org/C54540088","wikidata":"https://www.wikidata.org/wiki/Q3498041","display_name":"Intersection graph","level":4,"score":0.4632920026779175},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.4561462104320526},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4527835547924042},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.44599205255508423},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.43950653076171875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3691418468952179},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34481415152549744},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.3258296847343445},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15532302856445312},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06575438380241394},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0},{"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/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","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},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00224-022-10110-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-022-10110-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"0025-5661","issn":["0025-5661","1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G448640372","display_name":"Structure of tractable instances of hard algorithmic problems on graphs","funder_award_id":"GA20-04567S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320310153","display_name":"Ryerson University","ror":"https://ror.org/05g13zd79"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W18819324","https://openalex.org/W137822610","https://openalex.org/W1608899808","https://openalex.org/W1892973443","https://openalex.org/W1936855748","https://openalex.org/W1963492530","https://openalex.org/W1981227591","https://openalex.org/W1982378203","https://openalex.org/W1985758609","https://openalex.org/W2013350055","https://openalex.org/W2024491681","https://openalex.org/W2055336889","https://openalex.org/W2080228825","https://openalex.org/W2102167981","https://openalex.org/W2110862165","https://openalex.org/W2112665608","https://openalex.org/W2115124828","https://openalex.org/W2158683956","https://openalex.org/W2166566648","https://openalex.org/W2167323208","https://openalex.org/W2187605032","https://openalex.org/W2488304761","https://openalex.org/W2675992745","https://openalex.org/W2750628888","https://openalex.org/W2962962759","https://openalex.org/W4285719527","https://openalex.org/W4293472195","https://openalex.org/W4302441754"],"related_works":["https://openalex.org/W1094435092","https://openalex.org/W2901677255","https://openalex.org/W4289244352","https://openalex.org/W3136304056","https://openalex.org/W2152855314","https://openalex.org/W2167323208","https://openalex.org/W3035805791","https://openalex.org/W2011106822","https://openalex.org/W2093381928","https://openalex.org/W3175311986"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}
