{"id":"https://openalex.org/W3000365899","doi":"https://doi.org/10.37236/7907","title":"The Chromatic Number of the $q$-Kneser Graph for Large $q$","display_name":"The Chromatic Number of the $q$-Kneser Graph for Large $q$","publication_year":2019,"publication_date":"2019-03-22","ids":{"openalex":"https://openalex.org/W3000365899","doi":"https://doi.org/10.37236/7907","mag":"3000365899"},"language":"en","primary_location":{"id":"doi:10.37236/7907","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7907","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i1p50/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/v26i1p50/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032060734","display_name":"Ferdinand Ihringer","orcid":"https://orcid.org/0000-0001-5939-5623"},"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":"Ferdinand Ihringer","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/A5032060734"],"corresponding_institution_ids":["https://openalex.org/I2801227569"],"apc_list":null,"apc_paid":null,"fwci":3.5568,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.93260939,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"26","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9990000128746033,"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":0.9990000128746033,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9983999729156494,"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":0.9945999979972839,"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":0.885025143623352},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8500477075576782},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.7231991291046143},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6442259550094604},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4049619138240814}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.885025143623352},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8500477075576782},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.7231991291046143},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6442259550094604},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4049619138240814}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/7907","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7907","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i1p50/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:8662763","is_oa":true,"landing_page_url":"https://biblio.ugent.be/publication/8662763","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:10.37236/7907","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7907","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i1p50/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":[{"id":"https://openalex.org/G3231420740","display_name":null,"funder_award_id":"postdoc","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"}],"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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3000365899.pdf","grobid_xml":"https://content.openalex.org/works/W3000365899.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W109405981","https://openalex.org/W1503597950","https://openalex.org/W1602865767","https://openalex.org/W2002564287","https://openalex.org/W2003995429","https://openalex.org/W2016341899","https://openalex.org/W2019935404","https://openalex.org/W2074954099","https://openalex.org/W2107269625","https://openalex.org/W2123152107","https://openalex.org/W2171798635","https://openalex.org/W2601283133","https://openalex.org/W2602399957","https://openalex.org/W2784245270","https://openalex.org/W2804671923","https://openalex.org/W2963245721","https://openalex.org/W2976359142","https://openalex.org/W3101206403","https://openalex.org/W3143189643","https://openalex.org/W6676250223","https://openalex.org/W6685339440","https://openalex.org/W6735344020","https://openalex.org/W6751919253"],"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/W3178681420"],"abstract_inverted_index":{"We":[0],"obtain":[1],"a":[2],"new":[3],"weak":[4],"Hilton-Milner":[5],"type":[6],"result":[7,51],"for":[8,33,38,58],"intersecting":[9],"families":[10],"of":[11,25,56],"$k$-spaces":[12],"in":[13],"$\\mathbb{F}_q^{2k}$,":[14],"which":[15],"improves":[16],"several":[17],"known":[18,32],"results.":[19],"In":[20],"particular":[21],"the":[22,26,53,64],"chromatic":[23,54],"number":[24,55],"$q$-Kneser":[27],"graph":[28],"$qK_{n:k}$":[29],"was":[30],"previously":[31],"$n":[34],">":[35],"2k$":[36],"(except":[37],"$n=2k+1$":[39],"and":[40,83],"$q=2$)":[41],"or":[42],"$k":[43],"<":[44],"q":[45,47],"\\log":[46],"-":[48],"q$.":[49],"Our":[50],"determines":[52],"$qK_{2k:k}$":[57],"$q":[59,76,90],"\\geqslant":[60],"5$,":[61],"so":[62],"that":[63],"only":[65],"remaining":[66],"open":[67],"cases":[68],"are":[69],"$(n,":[70,84],"k)":[71,85],"=":[72,86,91],"(2k,":[73],"k)$":[74,88],"with":[75,89],"\\in":[77],"\\{":[78],"2,":[79],"3,":[80],"4":[81],"\\}$":[82],"(2k+1,":[87],"2$.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}