{"id":"https://openalex.org/W2111451257","doi":"https://doi.org/10.1142/s0218195996000046","title":"GEOMETRY OF BISECTORS FOR STRICTLY CONVEX DISTANCES","display_name":"GEOMETRY OF BISECTORS FOR STRICTLY CONVEX DISTANCES","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W2111451257","doi":"https://doi.org/10.1142/s0218195996000046","mag":"2111451257"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195996000046","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195996000046","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 &amp; 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/A5066178307","display_name":"A.G. CORBALAN","orcid":null},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"A.G. CORBALAN","raw_affiliation_strings":["Dpto. Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria Santander 39071, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria Santander 39071, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060114686","display_name":"Mayra A. Mazon","orcid":null},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. MAZON","raw_affiliation_strings":["Dpto. Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria Santander 39071, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria Santander 39071, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029421675","display_name":"Tom\u00e1s Recio","orcid":"https://orcid.org/0000-0002-1011-295X"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"T. RECIO","raw_affiliation_strings":["Dpto. Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria Santander 39071, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dpto. Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria Santander 39071, Spain","institution_ids":["https://openalex.org/I13134134"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066178307"],"corresponding_institution_ids":["https://openalex.org/I13134134"],"apc_list":null,"apc_paid":null,"fwci":2.0083,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.86284207,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"06","issue":"01","first_page":"45","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8024908304214478},{"id":"https://openalex.org/keywords/section","display_name":"Section (typography)","score":0.7112178206443787},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6666426062583923},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6393018364906311},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6288195252418518},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.6127367615699768},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.5268803238868713},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5224965214729309},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.4917624294757843},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4753689169883728},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.4439130425453186},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4368036389350891},{"id":"https://openalex.org/keywords/convex-curve","display_name":"Convex curve","score":0.422341525554657},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26991701126098633},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.13539084792137146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08133497834205627}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8024908304214478},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.7112178206443787},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6666426062583923},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6393018364906311},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6288195252418518},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.6127367615699768},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.5268803238868713},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5224965214729309},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.4917624294757843},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4753689169883728},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.4439130425453186},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4368036389350891},{"id":"https://openalex.org/C128618672","wikidata":"https://www.wikidata.org/wiki/Q3001187","display_name":"Convex curve","level":5,"score":0.422341525554657},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26991701126098633},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.13539084792137146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08133497834205627},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218195996000046","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195996000046","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 &amp; 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/W1970960579","https://openalex.org/W2371177213","https://openalex.org/W2975354347","https://openalex.org/W2026090674","https://openalex.org/W29331208","https://openalex.org/W2348369241","https://openalex.org/W2080217815","https://openalex.org/W2146596300","https://openalex.org/W339469309","https://openalex.org/W2951763600"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,74],"study":[4],"some":[5],"unexpected":[6],"geometric":[7],"properties":[8],"of":[9,12,40,65],"the":[10,53,63,71],"family":[11],"bisector":[13],"lines":[14],"for":[15],"a":[16],"convex":[17,56],"distance":[18],"d,":[19,78],"showing":[20],"that":[21,55,76],"bisectors":[22,34],"do":[23],"not":[24,59],"always":[25,60],"have":[26],"an":[27],"asymptotic":[28],"line":[29],"(Section":[30,48,93],"2).":[31],"Moreover,":[32],"although":[33],"are":[35,58],"homeomorphic":[36],"to":[37,52],"lines,":[38],"pairs":[39],"them":[41],"can":[42],"exist":[43],"intersecting":[44],"infinitely":[45],"many":[46,87],"times":[47],"3).":[49,94],"This":[50],"leads":[51],"conclusion":[54],"distances":[57,77,92],"nice":[61,91],"in":[62],"sense":[64],"Klein":[66],"and":[67],"Wood.":[68],"7":[69],"On":[70],"other":[72],"hand,":[73],"prove":[75],"having":[79],"d-balls":[80],"whose":[81],"boundary":[82],"is":[83],"given":[84],"by":[85],"finitely":[86],"algebraic":[88],"conditions,":[89],"produce":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"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"}
