{"id":"https://openalex.org/W4390617716","doi":"https://doi.org/10.1007/s00493-023-00075-y","title":"On the Generating Rank and Embedding Rank of the Hexagonic Lie Incidence Geometries","display_name":"On the Generating Rank and Embedding Rank of the Hexagonic Lie Incidence Geometries","publication_year":2024,"publication_date":"2024-01-05","ids":{"openalex":"https://openalex.org/W4390617716","doi":"https://doi.org/10.1007/s00493-023-00075-y"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-023-00075-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-023-00075-y","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://biblio.ugent.be/publication/01HW5NM4RF1HRDB26BYG8FTHKR/file/01HYFVFP8VSQE31PRBAG536882.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025500188","display_name":"A. De Schepper","orcid":null},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"A. De Schepper","raw_affiliation_strings":["Department of Mathematics, Ghent University, Krijgslaan 281\u2013S25, 9000, Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ghent University, Krijgslaan 281\u2013S25, 9000, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049608436","display_name":"Jeroen Schillewaert","orcid":"https://orcid.org/0000-0002-5234-1312"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"J. Schillewaert","raw_affiliation_strings":["Department of Mathematics, University of Auckland, 38 Princes Street, 1010, Auckland, New Zealand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Auckland, 38 Princes Street, 1010, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081850569","display_name":"Hendrik Van Maldeghem","orcid":"https://orcid.org/0000-0002-8022-0040"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"H. Van Maldeghem","raw_affiliation_strings":["Department of Mathematics, Ghent University, Krijgslaan 281\u2013S25, 9000, Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ghent University, Krijgslaan 281\u2013S25, 9000, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5049608436"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":4.0446,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.91649625,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"44","issue":"2","first_page":"355","last_page":"392"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.9021437168121338},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6874254941940308},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.665934145450592},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6025408506393433},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5093764066696167},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5043984651565552},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.4742792546749115},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4526330530643463},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.41646796464920044},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.08289524912834167},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07331928610801697}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9021437168121338},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6874254941940308},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.665934145450592},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6025408506393433},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5093764066696167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5043984651565552},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.4742792546749115},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4526330530643463},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.41646796464920044},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.08289524912834167},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07331928610801697},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00493-023-00075-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-023-00075-y","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:01HW5NM4RF1HRDB26BYG8FTHKR","is_oa":true,"landing_page_url":"http://hdl.handle.net/1854/LU-01HW5NM4RF1HRDB26BYG8FTHKR","pdf_url":"https://biblio.ugent.be/publication/01HW5NM4RF1HRDB26BYG8FTHKR/file/01HYFVFP8VSQE31PRBAG536882.pdf","source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1439-6912","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:archive.ugent.be:01HW5NM4RF1HRDB26BYG8FTHKR","is_oa":true,"landing_page_url":"http://hdl.handle.net/1854/LU-01HW5NM4RF1HRDB26BYG8FTHKR","pdf_url":"https://biblio.ugent.be/publication/01HW5NM4RF1HRDB26BYG8FTHKR/file/01HYFVFP8VSQE31PRBAG536882.pdf","source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1439-6912","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320328470","display_name":"Mathematisches Forschungsinstitut Oberwolfach","ror":"https://ror.org/001zbj766"},{"id":"https://openalex.org/F4320334763","display_name":"Leibniz-Gemeinschaft","ror":"https://ror.org/01n6r0e97"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4390617716.pdf","grobid_xml":"https://content.openalex.org/works/W4390617716.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W32909472","https://openalex.org/W122675304","https://openalex.org/W183513898","https://openalex.org/W1547717804","https://openalex.org/W1562049085","https://openalex.org/W1576545893","https://openalex.org/W1590245791","https://openalex.org/W1963518335","https://openalex.org/W1965124955","https://openalex.org/W1986264050","https://openalex.org/W2005175823","https://openalex.org/W2026000639","https://openalex.org/W2030230434","https://openalex.org/W2031188431","https://openalex.org/W2032548176","https://openalex.org/W2060879599","https://openalex.org/W2061633197","https://openalex.org/W2066247249","https://openalex.org/W2074812633","https://openalex.org/W2079805737","https://openalex.org/W2120859603","https://openalex.org/W2121304283","https://openalex.org/W2122675005","https://openalex.org/W2128788501","https://openalex.org/W2155910397","https://openalex.org/W2477359250","https://openalex.org/W2782747976","https://openalex.org/W2916456852","https://openalex.org/W3038633918","https://openalex.org/W3125847787","https://openalex.org/W4210409228","https://openalex.org/W4210835125","https://openalex.org/W4231447677","https://openalex.org/W4291439952","https://openalex.org/W4294837579","https://openalex.org/W4304842618"],"related_works":["https://openalex.org/W2013985456","https://openalex.org/W2951564084","https://openalex.org/W4302984940","https://openalex.org/W2776807270","https://openalex.org/W2015540166","https://openalex.org/W1666143004","https://openalex.org/W2392685819","https://openalex.org/W4297787022","https://openalex.org/W78494858","https://openalex.org/W2949126640"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
