{"id":"https://openalex.org/W2095156018","doi":"https://doi.org/10.1016/s0012-365x(97)00225-2","title":"The number of nets of the regular convex polytopes in dimension \u2a7d 4","display_name":"The number of nets of the regular convex polytopes in dimension \u2a7d 4","publication_year":1998,"publication_date":"1998-05-01","ids":{"openalex":"https://openalex.org/W2095156018","doi":"https://doi.org/10.1016/s0012-365x(97)00225-2","mag":"2095156018"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(97)00225-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(97)00225-2","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete 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/A5091171952","display_name":"Francis Buekenhout","orcid":null},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"F. Buekenhout","raw_affiliation_strings":["Department of Mathematics, Universit\u00e9 Libre de Bruxelles, Campus Plaine C.P.216, Boulevard du Triomphe, 1050 Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universit\u00e9 Libre de Bruxelles, Campus Plaine C.P.216, Boulevard du Triomphe, 1050 Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009420203","display_name":"Monique Parker","orcid":null},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"M. Parker","raw_affiliation_strings":["Department of Mathematics, Universit\u00e9 Libre de Bruxelles, Campus Plaine C.P.216, Boulevard du Triomphe, 1050 Brussels, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universit\u00e9 Libre de Bruxelles, Campus Plaine C.P.216, Boulevard du Triomphe, 1050 Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091171952"],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.22562408,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"186","issue":"1-3","first_page":"69","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11476","display_name":"Graph theory 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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.8507644534111023},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.8321352005004883},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8214765787124634},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.613166868686676},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6063022613525391},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.5610532164573669},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5590168833732605},{"id":"https://openalex.org/keywords/automorphism-group","display_name":"Automorphism group","score":0.5126592516899109},{"id":"https://openalex.org/keywords/facet","display_name":"Facet (psychology)","score":0.4869459867477417},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.4823981523513794},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.4445052146911621},{"id":"https://openalex.org/keywords/uniform-k-21-polytope","display_name":"Uniform k 21 polytope","score":0.4249556064605713},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.408443808555603},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3838442862033844},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.20181965827941895},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.15306231379508972},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.07504400610923767},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05452564358711243}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8507644534111023},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8321352005004883},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8214765787124634},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.613166868686676},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6063022613525391},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.5610532164573669},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5590168833732605},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.5126592516899109},{"id":"https://openalex.org/C43122875","wikidata":"https://www.wikidata.org/wiki/Q5428522","display_name":"Facet (psychology)","level":4,"score":0.4869459867477417},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.4823981523513794},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.4445052146911621},{"id":"https://openalex.org/C16507315","wikidata":"https://www.wikidata.org/wiki/Q7885104","display_name":"Uniform k 21 polytope","level":5,"score":0.4249556064605713},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.408443808555603},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3838442862033844},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.20181965827941895},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.15306231379508972},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.07504400610923767},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05452564358711243},{"id":"https://openalex.org/C2865642","wikidata":"https://www.wikidata.org/wiki/Q378132","display_name":"Big Five personality traits","level":3,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C187288502","wikidata":"https://www.wikidata.org/wiki/Q641118","display_name":"Personality","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0012-365x(97)00225-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(97)00225-2","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/182236","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/182236","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete mathematics, 186 (1-3","raw_type":"info:ulb-repo/semantics/openurl/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1515707356","https://openalex.org/W1572561889","https://openalex.org/W1589940326","https://openalex.org/W2983896310","https://openalex.org/W4251974981","https://openalex.org/W4400541442"],"related_works":["https://openalex.org/W1968764954","https://openalex.org/W2530902475","https://openalex.org/W2347437099","https://openalex.org/W2910524166","https://openalex.org/W1973159370","https://openalex.org/W2275490733","https://openalex.org/W2173724444","https://openalex.org/W2018209911","https://openalex.org/W1547661314","https://openalex.org/W2082133472"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}