{"id":"https://openalex.org/W2041287079","doi":"https://doi.org/10.1080/00207169608804534","title":"Reporting the crossing-free segments of a complete geometric graph","display_name":"Reporting the crossing-free segments of a complete geometric graph","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2041287079","doi":"https://doi.org/10.1080/00207169608804534","mag":"2041287079"},"language":"en","primary_location":{"id":"doi:10.1080/00207169608804534","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804534","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5072918463","display_name":"Masahiko Furukata","orcid":null},"institutions":[{"id":"https://openalex.org/I4210094533","display_name":"Dia Foundation","ror":"https://ror.org/007wxbw11","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210094533"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masahiko Furukata","raw_affiliation_strings":["International Media Reasearch Foundation 1-10-29 Jingumae , Shibuya-ku, Tokyo, 150, Japan"],"affiliations":[{"raw_affiliation_string":"International Media Reasearch Foundation 1-10-29 Jingumae , Shibuya-ku, Tokyo, 150, Japan","institution_ids":["https://openalex.org/I4210094533"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017115093","display_name":"Kouhei Asano","orcid":null},"institutions":[{"id":"https://openalex.org/I206011266","display_name":"Kwansei Gakuin University","ror":"https://ror.org/02qf2tx24","country_code":"JP","type":"education","lineage":["https://openalex.org/I206011266"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kouhei Asano","raw_affiliation_strings":["Faculty of Science , Kwansei Gakuin University , Nishinomiya, Hyogo, 662, Japan","Faculty of Science, Kwansei Gakuin University, Nishinomiya, Hyogo 662, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Science , Kwansei Gakuin University , Nishinomiya, Hyogo, 662, Japan","institution_ids":["https://openalex.org/I206011266"]},{"raw_affiliation_string":"Faculty of Science, Kwansei Gakuin University, Nishinomiya, Hyogo 662, Japan","institution_ids":["https://openalex.org/I206011266"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5072918463"],"corresponding_institution_ids":["https://openalex.org/I4210094533"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17118227,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"62","issue":"3-4","first_page":"163","last_page":"170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":0.9998999834060669,"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/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9973999857902527,"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/T11164","display_name":"Remote Sensing and LiDAR Applications","score":0.9847999811172485,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7123205065727234},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6958951354026794},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.5620518326759338},{"id":"https://openalex.org/keywords/crossing-number","display_name":"Crossing number (knot theory)","score":0.5436467528343201},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5417402982711792},{"id":"https://openalex.org/keywords/general-position","display_name":"General position","score":0.49845099449157715},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.46351349353790283},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4429045021533966},{"id":"https://openalex.org/keywords/geometric-graph-theory","display_name":"Geometric graph theory","score":0.42627519369125366},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.30079934000968933},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.29804545640945435},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.08752095699310303}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7123205065727234},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6958951354026794},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.5620518326759338},{"id":"https://openalex.org/C2777724877","wikidata":"https://www.wikidata.org/wiki/Q2548661","display_name":"Crossing number (knot theory)","level":3,"score":0.5436467528343201},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5417402982711792},{"id":"https://openalex.org/C150397156","wikidata":"https://www.wikidata.org/wiki/Q591310","display_name":"General position","level":2,"score":0.49845099449157715},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.46351349353790283},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4429045021533966},{"id":"https://openalex.org/C173547177","wikidata":"https://www.wikidata.org/wiki/Q1503271","display_name":"Geometric graph theory","level":5,"score":0.42627519369125366},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.30079934000968933},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.29804545640945435},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.08752095699310303},{"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},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169608804534","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804534","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320337","display_name":"University of Glasgow","ror":"https://ror.org/00vtgdb53"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W2022266599","https://openalex.org/W2070747743","https://openalex.org/W2120934134","https://openalex.org/W4300640952"],"related_works":["https://openalex.org/W2078924581","https://openalex.org/W3163128904","https://openalex.org/W4302600749","https://openalex.org/W4205744335","https://openalex.org/W2941402163","https://openalex.org/W2118113811","https://openalex.org/W4286794285","https://openalex.org/W4287024042","https://openalex.org/W229853467","https://openalex.org/W4317548305"],"abstract_inverted_index":{"A":[0,41],"complete":[1],"geometric":[2],"graph":[3],"is":[4,14,49],"a":[5,15],"pair":[6],"(S,E),":[7],"where":[8],"S":[9],"=":[10],"{p":[11],"1\u2026pn":[12],"}":[13],"set":[16,30],"of":[17,31,74],"n":[18],"points":[19],"in":[20,39,59,76],"general":[21],"position":[22],"on":[23],"the":[24,29],"Euclidean":[25],"plane":[26],"and":[27],"E":[28],"all":[32,71],"closed":[33,42],"line":[34],"segments":[35,73],"whose":[36],"endpoints":[37],"are":[38],"S.":[40],"segment":[43,58],"e(s,t)":[44],"from":[45],"ps":[46],"to":[47],"pt":[48],"crossing-free,":[50],"if":[51],"e(s,":[52],"t)":[53],"does":[54],"not":[55],"cross":[56],"any":[57],"E.":[60],"In":[61],"this":[62],"paper,":[63],"we":[64],"will":[65],"propose":[66],"an":[67],"algorithm":[68],"that":[69],"reports":[70],"crossing-free":[72],"(S,E)":[75],"0(n":[77],"2)":[78],"time.":[79]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
