{"id":"https://openalex.org/W2169048080","doi":"https://doi.org/10.1007/11618058_7","title":"Bar k-Visibility Graphs: Bounds on the Number of Edges, Chromatic Number, and Thickness","display_name":"Bar k-Visibility Graphs: Bounds on the Number of Edges, Chromatic Number, and Thickness","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2169048080","doi":"https://doi.org/10.1007/11618058_7","mag":"2169048080"},"language":"en","primary_location":{"id":"doi:10.1007/11618058_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11618058_7","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":["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/A5070963564","display_name":"Alice M. Dean","orcid":null},"institutions":[{"id":"https://openalex.org/I21104390","display_name":"Skidmore College","ror":"https://ror.org/04nzrzs08","country_code":"US","type":"education","lineage":["https://openalex.org/I21104390"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alice M. Dean","raw_affiliation_strings":["Department of Mathematics and Computer Science, Skidmore College,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Skidmore College,","institution_ids":["https://openalex.org/I21104390"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034825256","display_name":"William Evans","orcid":"https://orcid.org/0000-0002-7611-507X"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"William Evans","raw_affiliation_strings":["Department of Computer Science, University of British Columbia,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of British Columbia,","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067523915","display_name":"Ellen Gethner","orcid":null},"institutions":[{"id":"https://openalex.org/I921990950","display_name":"University of Colorado Denver","ror":"https://ror.org/02hh7en24","country_code":"US","type":"education","lineage":["https://openalex.org/I921990950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ellen Gethner","raw_affiliation_strings":["Department of Computer Science and Engineering, University of Colorado at Denver,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of Colorado at Denver,","institution_ids":["https://openalex.org/I921990950"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021069342","display_name":"Joshua D. Laison","orcid":null},"institutions":[{"id":"https://openalex.org/I189774192","display_name":"Colorado College","ror":"https://ror.org/03tg3h819","country_code":"US","type":"education","lineage":["https://openalex.org/I189774192"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joshua D. Laison","raw_affiliation_strings":["Department of Mathematics and Computer Science, Colorado College,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Colorado College,","institution_ids":["https://openalex.org/I189774192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103511336","display_name":"Mohammad Ali Safari","orcid":null},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mohammad Ali Safari","raw_affiliation_strings":["Department of Computer Science, University of British Columbia,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of British Columbia,","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110391140","display_name":"William T. Trotter","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William T. Trotter","raw_affiliation_strings":["Department of Mathematics, Georgia Institute of Technology,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Georgia Institute of Technology,","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5070963564"],"corresponding_institution_ids":["https://openalex.org/I21104390"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9861,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77827381,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"73","last_page":"82"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994999766349792,"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":0.9994999766349792,"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/T12546","display_name":"Smart Parking Systems Research","score":0.9886000156402588,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9846000075340271,"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/combinatorics","display_name":"Combinatorics","score":0.7761995792388916},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5841963291168213},{"id":"https://openalex.org/keywords/visibility","display_name":"Visibility","score":0.5654025673866272},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.550559937953949},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4870801270008087},{"id":"https://openalex.org/keywords/bar","display_name":"Bar (unit)","score":0.460690975189209},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4095939099788666},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3991404175758362},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3279532790184021},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20120403170585632},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.17046281695365906},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08317932486534119}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7761995792388916},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5841963291168213},{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.5654025673866272},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.550559937953949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4870801270008087},{"id":"https://openalex.org/C188721877","wikidata":"https://www.wikidata.org/wiki/Q103510","display_name":"Bar (unit)","level":2,"score":0.460690975189209},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4095939099788666},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3991404175758362},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3279532790184021},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20120403170585632},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.17046281695365906},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08317932486534119},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/11618058_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11618058_7","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:gdea.informatik.uni-koeln.de:681","is_oa":false,"landing_page_url":"http://gdea.informatik.uni-koeln.de/681/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400857","display_name":"Graph Drawing E-print Archive (Die Universit\u00e4t zu K\u00f6ln)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W59342596","https://openalex.org/W1479863711","https://openalex.org/W1509331856","https://openalex.org/W1512066175","https://openalex.org/W1596238102","https://openalex.org/W1782226526","https://openalex.org/W1849419000","https://openalex.org/W1950991346","https://openalex.org/W2000514873","https://openalex.org/W2012650557","https://openalex.org/W2023785967","https://openalex.org/W2039512408","https://openalex.org/W2059688607","https://openalex.org/W2065471429","https://openalex.org/W2082205964","https://openalex.org/W2135463430"],"related_works":["https://openalex.org/W2392812199","https://openalex.org/W4200176076","https://openalex.org/W598185802","https://openalex.org/W2355516524","https://openalex.org/W2361471170","https://openalex.org/W2025616642","https://openalex.org/W2118729822","https://openalex.org/W1606013690","https://openalex.org/W4293743430","https://openalex.org/W3006156235"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}