{"id":"https://openalex.org/W3208939657","doi":"https://doi.org/10.37236/9469","title":"Cameron-Liebler $k$-sets in $\\mathrm{AG}(n,q)$","display_name":"Cameron-Liebler $k$-sets in $\\mathrm{AG}(n,q)$","publication_year":2021,"publication_date":"2021-10-21","ids":{"openalex":"https://openalex.org/W3208939657","doi":"https://doi.org/10.37236/9469","mag":"3208939657"},"language":"en","primary_location":{"id":"doi:10.37236/9469","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9469","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i4p11/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/v28i4p11/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080035259","display_name":"Jozefien D\u2019haeseleer","orcid":"https://orcid.org/0000-0001-8333-7546"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jozefien D'haeseleer","raw_affiliation_strings":["University of Ghent"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ghent","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032060734","display_name":"Ferdinand Ihringer","orcid":"https://orcid.org/0000-0001-5939-5623"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ferdinand Ihringer","raw_affiliation_strings":["University of Ghent"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ghent","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063295888","display_name":"Jonathan Mannaert","orcid":"https://orcid.org/0000-0002-0058-4531"},"institutions":[{"id":"https://openalex.org/I13469542","display_name":"Vrije Universiteit Brussel","ror":"https://ror.org/006e5kg04","country_code":"BE","type":"education","lineage":["https://openalex.org/I13469542"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jonathan Mannaert","raw_affiliation_strings":["Vrije Universiteit Brussel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vrije Universiteit Brussel","institution_ids":["https://openalex.org/I13469542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061433215","display_name":"Leo Storme","orcid":"https://orcid.org/0000-0001-6440-9225"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leo Storme","raw_affiliation_strings":["University of Ghent"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ghent","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3934,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.60316707,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"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":0.9884999990463257,"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":0.9884999990463257,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9685999751091003,"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/T10849","display_name":"Finite Group Theory Research","score":0.9527999758720398,"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/combinatorics","display_name":"Combinatorics","score":0.6783086061477661},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5721789002418518},{"id":"https://openalex.org/keywords/association-scheme","display_name":"Association scheme","score":0.41426926851272583},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39204972982406616}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6783086061477661},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5721789002418518},{"id":"https://openalex.org/C73361133","wikidata":"https://www.wikidata.org/wiki/Q4810150","display_name":"Association scheme","level":2,"score":0.41426926851272583},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39204972982406616}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/9469","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9469","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i4p11/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:vubissmart:VUBISSMART:2000:153939","is_oa":false,"landing_page_url":"https://biblio.vub.ac.be/vubir/cameronliebler-ksets-in-agnq(e4b3ea24-3442-4680-a823-42ffc2c4b4aa).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"pmh:oai:archive.ugent.be:8735685","is_oa":true,"landing_page_url":"http://hdl.handle.net/1854/LU-8735685","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/article"}],"best_oa_location":{"id":"doi:10.37236/9469","is_oa":true,"landing_page_url":"https://doi.org/10.37236/9469","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v28i4p11/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":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3208939657.pdf","grobid_xml":"https://content.openalex.org/works/W3208939657.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1985627461","https://openalex.org/W2018701021","https://openalex.org/W2023167697","https://openalex.org/W2061471916","https://openalex.org/W2071958497","https://openalex.org/W2081549664","https://openalex.org/W2124113125","https://openalex.org/W2430745550","https://openalex.org/W2553875417","https://openalex.org/W2578348831","https://openalex.org/W2586598830","https://openalex.org/W2784245270","https://openalex.org/W2804671923","https://openalex.org/W2963245721","https://openalex.org/W3000365899","https://openalex.org/W3004944679","https://openalex.org/W3141102068","https://openalex.org/W4298236575","https://openalex.org/W6733527974","https://openalex.org/W6751919253"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2095059320","https://openalex.org/W1224313471","https://openalex.org/W3197326322","https://openalex.org/W2048240552","https://openalex.org/W1979597421","https://openalex.org/W2005838129","https://openalex.org/W2171569252","https://openalex.org/W2007980826","https://openalex.org/W3122761303"],"abstract_inverted_index":{"We":[0,63],"study":[1],"Cameron-Liebler":[2,18,30,65,88,116,131],"$k$-sets":[3,19,31,66,89],"in":[4,12,20,27,45,48,67,90,134],"the":[5,21,40,49,76,85,99,103,112,128],"affine":[6,107],"geometry,":[7],"so":[8],"sets":[9],"of":[10,32,39,43,51,61,78,102,106,115],"$k$-spaces":[11,44],"$\\mathrm{AG}(n,q)$.":[13,62],"This":[14,118],"generalizes":[15],"research":[16],"on":[17,121],"projective":[22],"geometry":[23],"$\\mathrm{PG}(n,q)$.":[24,93],"Note":[25],"that":[26],"algebraic":[28],"combinatorics,":[29],"$\\mathrm{AG}(n,q)$":[33,68,91,122],"correspond":[34,55],"to":[35,56],"certain":[36],"equitable":[37],"bipartitions":[38],"association":[41,104],"scheme":[42,105],"$\\mathrm{AG}(n,q)$,":[46],"while":[47,127],"analysis":[50],"Boolean":[52,57],"functions,":[53],"they":[54],"degree":[58],"$1$":[59],"functions":[60],"define":[64],"by":[69],"intersection":[70],"properties":[71],"with":[72],"$k$-spreads":[73],"and":[74,92],"show":[75],"equivalence":[77],"several":[79],"definitions.":[80],"In":[81],"particular,":[82],"we":[83,97,110],"investigate":[84],"relationship":[86],"between":[87],"As":[94],"a":[95],"by-product,":[96],"calculate":[98],"character":[100],"table":[101],"lines.":[108],"Furthermore,":[109],"characterize":[111],"smallest":[113],"examples":[114],"$k$-sets.":[117],"paper":[119],"focuses":[120],"for":[123,130],"$n":[124],"&gt;":[125],"3$,":[126],"case":[129],"line":[132],"classes":[133],"$\\mathrm{AG}(3,q)$":[135],"was":[136],"already":[137],"treated":[138],"separately.":[139]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2021-11-08T00:00:00"}
