{"id":"https://openalex.org/W3211275749","doi":"https://doi.org/10.37236/8476","title":"Characterizations of the $G_2(4)$ and $L_3(4)$ Near Octagons","display_name":"Characterizations of the $G_2(4)$ and $L_3(4)$ Near Octagons","publication_year":2021,"publication_date":"2021-10-21","ids":{"openalex":"https://openalex.org/W3211275749","doi":"https://doi.org/10.37236/8476","mag":"3211275749"},"language":"en","primary_location":{"id":"doi:10.37236/8476","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8476","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i4p12/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/v28i4p12/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/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Bart De Bruyn","raw_affiliation_strings":["Department of Mathematics: Algebra and Geometry Ghent University Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics: Algebra and Geometry Ghent University Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075866833"],"corresponding_institution_ids":["https://openalex.org/I32597200"],"apc_list":null,"apc_paid":null,"fwci":0.1003,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.44548073,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"28","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":0.9937999844551086,"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":0.9937999844551086,"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":0.9902999997138977,"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/T12504","display_name":"Mathematics and Applications","score":0.9869999885559082,"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/combinatorics","display_name":"Combinatorics","score":0.8326773047447205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7713418006896973},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.747649073600769},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.05991041660308838}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8326773047447205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7713418006896973},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.747649073600769},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05991041660308838},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/8476","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8476","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i4p12/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:8740309","is_oa":true,"landing_page_url":"https://biblio.ugent.be/publication/8740309","pdf_url":null,"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:10.37236/8476","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8476","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i4p12/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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3211275749.pdf","grobid_xml":"https://content.openalex.org/works/W3211275749.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1507799342","https://openalex.org/W1583183878","https://openalex.org/W1761174751","https://openalex.org/W2063445159","https://openalex.org/W2086350895","https://openalex.org/W2553875417","https://openalex.org/W2964275873","https://openalex.org/W3211275749","https://openalex.org/W4214588030","https://openalex.org/W4298236575","https://openalex.org/W6680192558"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2142036596"],"abstract_inverted_index":{"A":[0],"triple":[1,27,77],"$(\\mathcal{S},S,\\mathcal{Q})$":[2,78],"consisting":[3],"of":[4,13,19,21,49,54,67,143],"a":[5,9,16,25,59,75,81],"near":[6,60,70,89,103,108,126],"polygon":[7,84],"$\\mathcal{S}$,":[8],"line":[10],"spread":[11],"$S$":[12,50],"$\\mathcal{S}$":[14,22,72],"and":[15,51,96,101,123,138],"set":[17],"$\\mathcal{Q}$":[18,55],"quads":[20,53,115],"is":[23,37,56,86],"called":[24],"polygonal":[26,76,112],"if":[28],"certain":[29],"nice":[30],"properties":[31],"are":[32,105,116,128],"satisfied,":[33],"among":[34],"which":[35,80],"there":[36],"the":[38,41,47,52,65,87,99,106,119,132,139],"requirement":[39],"that":[40,73,98,110],"point-line":[42],"geometry":[43],"$\\mathcal{S}'$":[44,85],"formed":[45],"by":[46],"lines":[48],"itself":[57],"also":[58],"polygon.":[61,90],"This":[62],"paper":[63],"addresses":[64],"problem":[66],"classifying":[68],"all":[69],"polygons":[71,127],"admit":[74,111],"for":[79],"given":[82],"generalized":[83,120,141],"associated":[88,125],"We":[91],"obtain":[92],"several":[93],"nonexistence":[94],"results":[95],"show":[97],"$G_2(4)$":[100],"$L_3(4)$":[102],"octagons":[104,109],"unique":[107,140],"triples":[113],"whose":[114,124],"isomorphic":[117,130],"to":[118,131],"quadrangle":[121],"$W(2)$":[122],"respectively":[129],"dual":[133],"split":[134],"Cayley":[135],"hexagon":[136,142],"$H^D(4)$":[137],"order":[144],"$(4,1)$.":[145]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}