{"id":"https://openalex.org/W4313293047","doi":"https://doi.org/10.37236/9245","title":"A Combinatorial Characterization of Extremal Generalized Hexagons","display_name":"A Combinatorial Characterization of Extremal Generalized Hexagons","publication_year":2022,"publication_date":"2022-12-16","ids":{"openalex":"https://openalex.org/W4313293047","doi":"https://doi.org/10.37236/9245"},"language":"en","primary_location":{"id":"doi:10.37236/9245","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9245","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i4p46/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i4p46/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075866833","display_name":"Bart De Bruyn","orcid":"https://orcid.org/0000-0003-4941-7934"},"institutions":[{"id":"https://openalex.org/I2801227569","display_name":"Ghent University Hospital","ror":"https://ror.org/00xmkp704","country_code":"BE","type":"healthcare","lineage":["https://openalex.org/I2801227569"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Bart De Bruyn","raw_affiliation_strings":["Ghent University"],"affiliations":[{"raw_affiliation_string":"Ghent University","institution_ids":["https://openalex.org/I2801227569"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075866833"],"corresponding_institution_ids":["https://openalex.org/I2801227569"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12410068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9922000169754028,"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/T11130","display_name":"Coding theory and cryptography","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/mathematics","display_name":"Mathematics","score":0.8850834965705872},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8173432350158691},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.7384458780288696},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5920059084892273},{"id":"https://openalex.org/keywords/extremal-combinatorics","display_name":"Extremal combinatorics","score":0.5171020030975342},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37673577666282654}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8850834965705872},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8173432350158691},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.7384458780288696},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5920059084892273},{"id":"https://openalex.org/C549619432","wikidata":"https://www.wikidata.org/wiki/Q5422299","display_name":"Extremal combinatorics","level":2,"score":0.5171020030975342},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37673577666282654},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/9245","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9245","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i4p46/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:01GTER1D8X235WXGTFMMQTCMKR","is_oa":true,"landing_page_url":"http://hdl.handle.net/1854/LU-01GTER1D8X235WXGTFMMQTCMKR","pdf_url":"https://biblio.ugent.be/publication/01GTER1D8X235WXGTFMMQTCMKR/file/01H0JAT1PS56M4GZBZ428BD2ZS.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":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1077-8926","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.37236/9245","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9245","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i4p46/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4313293047.pdf","grobid_xml":"https://content.openalex.org/works/W4313293047.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W2939538","https://openalex.org/W10907566","https://openalex.org/W1583183878","https://openalex.org/W1607979118","https://openalex.org/W2012521166","https://openalex.org/W2024292007","https://openalex.org/W2029119795","https://openalex.org/W2040452405","https://openalex.org/W2042469674","https://openalex.org/W2044436118","https://openalex.org/W2049971834","https://openalex.org/W2063445159","https://openalex.org/W2092028652","https://openalex.org/W2119315257","https://openalex.org/W4298236575","https://openalex.org/W6680192558"],"related_works":["https://openalex.org/W3107994849","https://openalex.org/W4247143848","https://openalex.org/W2735573198","https://openalex.org/W2009883749","https://openalex.org/W29442446","https://openalex.org/W2896904446","https://openalex.org/W330727063","https://openalex.org/W1483407203","https://openalex.org/W4206825956","https://openalex.org/W2115994533"],"abstract_inverted_index":{"A":[0],"finite":[1,46],"generalized":[2,47,63,74],"$2d$-gon":[3,48],"of":[4,34,49],"order":[5,50],"$(s,t)$":[6,51],"with":[7],"$d":[8],"\\in":[9],"\\{":[10],"2,3,4":[11],"\\}$":[12],"and":[13,30,42],"$s":[14],"\\not=":[15],"1$":[16],"is":[17],"called":[18],"extremal":[19,54,84],"if":[20],"$t$":[21],"attains":[22],"its":[23],"maximal":[24],"possible":[25],"value":[26],"$s^{e_d}$,":[27],"where":[28],"$e_2=e_4=2$":[29],"$e_3=3$.":[31],"The":[32],"problem":[33],"finding":[35],"combinatorial":[36,81],"conditions":[37],"that":[38],"are":[39],"both":[40],"necessary":[41],"sufficient":[43],"for":[44,61,72,83],"a":[45,70,79],"to":[52],"be":[53,59],"has":[55],"so":[56],"far":[57],"only":[58],"solved":[60],"the":[62,73],"quadrangles.":[64],"In":[65],"this":[66],"paper,":[67],"we":[68],"obtain":[69,78],"solution":[71],"hexagons.":[75,87],"We":[76],"also":[77],"related":[80],"characterization":[82],"regular":[85],"near":[86]},"counts_by_year":[],"updated_date":"2026-04-04T08:04:53.788161","created_date":"2025-10-10T00:00:00"}
