{"id":"https://openalex.org/W1483904091","doi":"https://doi.org/10.1007/s00454-002-2779-3","title":"Random Spaces Generated by Vertices of the Cube","display_name":"Random Spaces Generated by Vertices of the Cube","publication_year":2002,"publication_date":"2002-08-01","ids":{"openalex":"https://openalex.org/W1483904091","doi":"https://doi.org/10.1007/s00454-002-2779-3","mag":"1483904091"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-002-2779-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-2779-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-2779-3.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-2779-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5096973526","display_name":"Giannopoulos","orcid":null},"institutions":[{"id":"https://openalex.org/I142617266","display_name":"University of Crete","ror":"https://ror.org/00dr28g20","country_code":"GR","type":"education","lineage":["https://openalex.org/I142617266"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Giannopoulos","raw_affiliation_strings":["Department of Mathematics, University of Crete, Iraklion, Crete, Greece apostolo@math.uch.gr hmarian@math.uch.gr , Greece","Department of Mathematics, University of Crete, Iraklion, Crete, Greece apostolo@math.uch.gr hmarian@math.uch.gr, Greece#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Crete, Iraklion, Crete, Greece apostolo@math.uch.gr hmarian@math.uch.gr , Greece","institution_ids":["https://openalex.org/I142617266"]},{"raw_affiliation_string":"Department of Mathematics, University of Crete, Iraklion, Crete, Greece apostolo@math.uch.gr hmarian@math.uch.gr, Greece#TAB#","institution_ids":["https://openalex.org/I142617266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5097001925","display_name":"Hartzoulaki","orcid":null},"institutions":[{"id":"https://openalex.org/I142617266","display_name":"University of Crete","ror":"https://ror.org/00dr28g20","country_code":"GR","type":"education","lineage":["https://openalex.org/I142617266"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Hartzoulaki","raw_affiliation_strings":["Department of Mathematics, University of Crete, Iraklion, Crete, Greece apostolo@math.uch.gr hmarian@math.uch.gr , Greece","Department of Mathematics, University of Crete, Iraklion, Crete, Greece apostolo@math.uch.gr hmarian@math.uch.gr, Greece#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Crete, Iraklion, Crete, Greece apostolo@math.uch.gr hmarian@math.uch.gr , Greece","institution_ids":["https://openalex.org/I142617266"]},{"raw_affiliation_string":"Department of Mathematics, University of Crete, Iraklion, Crete, Greece apostolo@math.uch.gr hmarian@math.uch.gr, Greece#TAB#","institution_ids":["https://openalex.org/I142617266"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5096973526"],"corresponding_institution_ids":["https://openalex.org/I142617266"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0927,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.71041023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"2","first_page":"255","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9998000264167786,"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":0.9998000264167786,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9797000288963318,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9006999731063843,"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/combinatorics","display_name":"Combinatorics","score":0.866646409034729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8502683639526367},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.6946752071380615},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.6308695077896118},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6015926599502563},{"id":"https://openalex.org/keywords/inscribed-figure","display_name":"Inscribed figure","score":0.5529131293296814},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.5074111819267273},{"id":"https://openalex.org/keywords/unit-cube","display_name":"Unit cube","score":0.4663495421409607},{"id":"https://openalex.org/keywords/incircle-and-excircles-of-a-triangle","display_name":"Incircle and excircles of a triangle","score":0.41785088181495667},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.41685253381729126},{"id":"https://openalex.org/keywords/normed-vector-space","display_name":"Normed vector space","score":0.4164274334907532},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28765663504600525},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2848949432373047},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.1717606484889984}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.866646409034729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8502683639526367},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.6946752071380615},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.6308695077896118},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6015926599502563},{"id":"https://openalex.org/C44074806","wikidata":"https://www.wikidata.org/wiki/Q1066790","display_name":"Inscribed figure","level":2,"score":0.5529131293296814},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5074111819267273},{"id":"https://openalex.org/C60432849","wikidata":"https://www.wikidata.org/wiki/Q2072112","display_name":"Unit cube","level":2,"score":0.4663495421409607},{"id":"https://openalex.org/C97787015","wikidata":"https://www.wikidata.org/wiki/Q10615255","display_name":"Incircle and excircles of a triangle","level":2,"score":0.41785088181495667},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.41685253381729126},{"id":"https://openalex.org/C171739935","wikidata":"https://www.wikidata.org/wiki/Q726210","display_name":"Normed vector space","level":2,"score":0.4164274334907532},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28765663504600525},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2848949432373047},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.1717606484889984},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-002-2779-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-2779-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-2779-3.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-002-2779-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-002-2779-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-002-2779-3.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1483904091.pdf","grobid_xml":"https://content.openalex.org/works/W1483904091.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W168712353","https://openalex.org/W763751051","https://openalex.org/W934596661","https://openalex.org/W1487151840","https://openalex.org/W1512943970","https://openalex.org/W1526777878","https://openalex.org/W1537193711","https://openalex.org/W1539416424","https://openalex.org/W1607669689","https://openalex.org/W1964370345","https://openalex.org/W1975049815","https://openalex.org/W1987698418","https://openalex.org/W1994403197","https://openalex.org/W2014279255","https://openalex.org/W2020020174","https://openalex.org/W2021646111","https://openalex.org/W2028293361","https://openalex.org/W2033029553","https://openalex.org/W2035699877","https://openalex.org/W2039785501","https://openalex.org/W2041932243","https://openalex.org/W2044142947","https://openalex.org/W2050284260","https://openalex.org/W2059540664","https://openalex.org/W2070943034","https://openalex.org/W2072876697","https://openalex.org/W2073317766","https://openalex.org/W2084471691","https://openalex.org/W2166495084","https://openalex.org/W2314036664","https://openalex.org/W2315557445","https://openalex.org/W2327386302","https://openalex.org/W2573541365","https://openalex.org/W2578647995","https://openalex.org/W2734755719","https://openalex.org/W2950172465","https://openalex.org/W4240001775","https://openalex.org/W4240136535","https://openalex.org/W4298214305","https://openalex.org/W6605765875","https://openalex.org/W6606270696","https://openalex.org/W6628841752","https://openalex.org/W6704160543","https://openalex.org/W6820385466","https://openalex.org/W6836817616"],"related_works":["https://openalex.org/W3009346708","https://openalex.org/W2111427182","https://openalex.org/W3034053692","https://openalex.org/W1976373966","https://openalex.org/W2034907509","https://openalex.org/W3210108272","https://openalex.org/W2565821832","https://openalex.org/W1763880239","https://openalex.org/W4300128383","https://openalex.org/W1483904091"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
