{"id":"https://openalex.org/W2118697430","doi":"https://doi.org/10.1142/s0218195997000132","title":"A More Compact Visibility Representation","display_name":"A More Compact Visibility Representation","publication_year":1997,"publication_date":"1997-06-01","ids":{"openalex":"https://openalex.org/W2118697430","doi":"https://doi.org/10.1142/s0218195997000132","mag":"2118697430"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195997000132","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195997000132","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 & Applications","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/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":true,"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":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040374945"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":null,"apc_paid":null,"fwci":0.3664,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.65509642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"07","issue":"03","first_page":"197","last_page":"210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9919999837875366,"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":0.9919999837875366,"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":0.9830999970436096,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9779999852180481,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6788215637207031},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6651629209518433},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5956131219863892},{"id":"https://openalex.org/keywords/visibility-graph","display_name":"Visibility graph","score":0.5824942588806152},{"id":"https://openalex.org/keywords/visibility","display_name":"Visibility","score":0.5413406491279602},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5172791481018066},{"id":"https://openalex.org/keywords/outerplanar-graph","display_name":"Outerplanar graph","score":0.498992919921875},{"id":"https://openalex.org/keywords/lattice-graph","display_name":"Lattice graph","score":0.4605402648448944},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4537135362625122},{"id":"https://openalex.org/keywords/butterfly-graph","display_name":"Butterfly graph","score":0.4469083845615387},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.42799150943756104},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4112267792224884},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3844214081764221},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27646270394325256},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.25540968775749207},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.24364453554153442},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14495724439620972},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.10672459006309509}],"concepts":[{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6788215637207031},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6651629209518433},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5956131219863892},{"id":"https://openalex.org/C173362246","wikidata":"https://www.wikidata.org/wiki/Q8216024","display_name":"Visibility graph","level":3,"score":0.5824942588806152},{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.5413406491279602},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5172791481018066},{"id":"https://openalex.org/C125792925","wikidata":"https://www.wikidata.org/wiki/Q3115604","display_name":"Outerplanar graph","level":5,"score":0.498992919921875},{"id":"https://openalex.org/C145580432","wikidata":"https://www.wikidata.org/wiki/Q6497118","display_name":"Lattice graph","level":5,"score":0.4605402648448944},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4537135362625122},{"id":"https://openalex.org/C18819970","wikidata":"https://www.wikidata.org/wiki/Q3035340","display_name":"Butterfly graph","level":5,"score":0.4469083845615387},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42799150943756104},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4112267792224884},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3844214081764221},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27646270394325256},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.25540968775749207},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.24364453554153442},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14495724439620972},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.10672459006309509},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218195997000132","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195997000132","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 & Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2802636101","https://openalex.org/W2039281885","https://openalex.org/W3192131378","https://openalex.org/W202496218","https://openalex.org/W3014299506","https://openalex.org/W4290720427","https://openalex.org/W1444404417","https://openalex.org/W4248954595","https://openalex.org/W2016898545","https://openalex.org/W1539438692"],"abstract_inverted_index":{"In":[0],"this":[1,34,54],"paper":[2],"we":[3,36],"present":[4],"a":[5,13,17,45,64],"linear":[6,39],"time":[7,40,51,58],"and":[8],"space":[9],"algorithm":[10],"for":[11],"constructing":[12],"visibility":[14],"representation":[15],"of":[16,31,44,62],"planar":[18,46],"graph":[19,65,74],"on":[20],"an":[21],"[Formula:":[22],"see":[23],"text]":[24],"grid,":[25],"thereby":[26],"improving":[27],"the":[28,41,56,60],"previous":[29,50],"bound":[30],"(2n-5)\u00d7(n-1).":[32],"To":[33],"end":[35],"build":[37],"in":[38,73],"4-block":[42],"tree":[43],"graph,":[47],"which":[48],"improves":[49],"bounds.":[52],"Moreover,":[53],"is":[55,70],"first":[57],"that":[59],"technique":[61],"splitting":[63],"into":[66],"its":[67],"4-connected":[68],"components":[69],"used":[71],"successfully":[72],"drawing":[75]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}