{"id":"https://openalex.org/W6926285796","doi":"https://doi.org/10.20382/jocg.v13i1a13","title":"Recognizing weighted and seeded disk graphs","display_name":"Recognizing weighted and seeded disk graphs","publication_year":2022,"publication_date":"2022-09-14","ids":{"openalex":"https://openalex.org/W6926285796","doi":"https://doi.org/10.20382/jocg.v13i1a13"},"language":"en","primary_location":{"id":"pmh:oai:ojs.library.carleton.ca:article/3983","is_oa":false,"landing_page_url":"https://jocg.org/index.php/jocg/article/view/3983","pdf_url":null,"source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Geometry; Vol. 13 No. 1 (2022); 327\u2013376","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doaj.org/article/4aac8474821f453da9f46d951a866607","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Klemz, Boris","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Klemz, Boris","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"N\u00f6llenburg, Martin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N\u00f6llenburg, Martin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Prutkin, Roman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Prutkin, Roman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20336007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.43799999356269836,"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"}},"topics":[{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.43799999356269836,"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"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.12600000202655792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.07639999687671661,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/unit-disk-graph","display_name":"Unit disk graph","score":0.7098000049591064},{"id":"https://openalex.org/keywords/intersection-graph","display_name":"Intersection graph","score":0.635200023651123},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6122999787330627},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.6010000109672546},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5152000188827515},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49869999289512634},{"id":"https://openalex.org/keywords/stars","display_name":"Stars","score":0.42669999599456787}],"concepts":[{"id":"https://openalex.org/C130184317","wikidata":"https://www.wikidata.org/wiki/Q3115549","display_name":"Unit disk graph","level":4,"score":0.7098000049591064},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6898000240325928},{"id":"https://openalex.org/C54540088","wikidata":"https://www.wikidata.org/wiki/Q3498041","display_name":"Intersection graph","level":4,"score":0.635200023651123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6173999905586243},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6122999787330627},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.6010000109672546},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5152000188827515},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49869999289512634},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"score":0.42669999599456787},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.4043999910354614},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.38679999113082886},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.37549999356269836},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.34619998931884766},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.3400999903678894},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.31290000677108765},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2964000105857849},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.28690001368522644},{"id":"https://openalex.org/C125792925","wikidata":"https://www.wikidata.org/wiki/Q3115604","display_name":"Outerplanar graph","level":5,"score":0.2558000087738037}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:ojs.library.carleton.ca:article/3983","is_oa":false,"landing_page_url":"https://jocg.org/index.php/jocg/article/view/3983","pdf_url":null,"source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Geometry; Vol. 13 No. 1 (2022); 327\u2013376","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:4aac8474821f453da9f46d951a866607","is_oa":true,"landing_page_url":"https://doaj.org/article/4aac8474821f453da9f46d951a866607","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Computational Geometry, Vol 13, Iss 1 (2022)","raw_type":"article"},{"id":"doi:10.20382/jocg.v13i1a13","is_oa":true,"landing_page_url":"https://doi.org/10.20382/jocg.v13i1a13","pdf_url":null,"source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:doaj.org/article:4aac8474821f453da9f46d951a866607","is_oa":true,"landing_page_url":"https://doaj.org/article/4aac8474821f453da9f46d951a866607","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Computational Geometry, Vol 13, Iss 1 (2022)","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Disk":[0],"intersection":[1,77,177],"representations":[2,178],"realize":[3],"graphs":[4,110],"by":[5,90],"mapping":[6],"vertices":[7,27],"bijectively":[8],"to":[9,37,70,164],"disks":[10,17,158],"in":[11,30,101,155,207],"the":[12,25,31,41,60,65,84,92,102,121,126,153,157,188,195,201,208],"plane":[13],"such":[14,58],"that":[15,59,100,172],"two":[16],"intersect":[18],"each":[19],"other":[20],"if":[21,24,187],"and":[22,76,88,114,140,176],"only":[23],"corresponding":[26],"are":[28,35,162,198],"adjacent":[29],"graph.":[32],"If":[33,194],"intersections":[34],"restricted":[36],"touching":[38],"points":[39],"of":[40,152,159],"boundaries,":[42],"we":[43,82,129],"call":[44],"them":[45],"disk":[46],"contact":[47,75,103,175,209],"representations.":[48,78],"Deciding":[49],"whether":[50],"a":[51,150,160,192],"vertex-weighted":[52],"planar":[53],"graph":[54,96,190],"can":[55],"be":[56,71],"realized":[57],"disks'":[61,196],"radii":[62,197],"coincide":[63],"with":[64,111,117,137,144],"vertex":[66],"weights":[67,113,139,185],"is":[68,181,191],"known":[69],"NP-hard":[72,107,182,204],"for":[73,94,108,115,135,141,174,183,205],"both":[74,173],"In":[79],"this":[80,179],"work,":[81],"reduce":[83],"gap":[85],"between":[86],"hardness":[87,123],"tractability":[89],"analyzing":[91],"problem":[93,154,180,202],"special":[95],"classes.":[97],"We":[98,147,170],"show":[99,171],"scenario":[104],"it":[105],"remains":[106,203],"outerplanar":[109],"unit":[112,138,184],"stars":[116,143],"arbitrary":[118,145],"weights,":[119],"strengthening":[120],"previous":[122],"results.":[124],"On":[125],"positive":[127],"side,":[128],"present":[130],"constructive":[131],"linear-time":[132],"recognition":[133],"algorithms":[134],"caterpillars":[136],"embedded":[142],"weights.":[146],"also":[148],"consider":[149],"version":[151],"which":[156],"representation":[161],"supposed":[163],"cover":[165],"preassigned":[166],"points,":[167],"called":[168],"seeds.":[169],"even":[186],"given":[189],"path.":[193],"not":[199],"prescribed,":[200],"trees":[206],"scenario.":[210]},"counts_by_year":[],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}
