{"id":"https://openalex.org/W4392464067","doi":"https://doi.org/10.1017/s0963548324000051","title":"Sharp bounds for a discrete John\u2019s theorem","display_name":"Sharp bounds for a discrete John\u2019s theorem","publication_year":2024,"publication_date":"2024-03-05","ids":{"openalex":"https://openalex.org/W4392464067","doi":"https://doi.org/10.1017/s0963548324000051"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548324000051","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548324000051","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055482816","display_name":"Peter van Hintum","orcid":"https://orcid.org/0000-0002-2323-2897"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]},{"id":"https://openalex.org/I4210149706","display_name":"New College","ror":"https://ror.org/05ab3fa41","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210149706"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Peter van Hintum","raw_affiliation_strings":["New College, University of Oxford, Oxford, UK"],"raw_orcid":"https://orcid.org/0000-0002-2323-2897","affiliations":[{"raw_affiliation_string":"New College, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I4210149706","https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023231478","display_name":"Peter Keevash","orcid":"https://orcid.org/0000-0002-4605-5045"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Peter Keevash","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford, UK"],"raw_orcid":"https://orcid.org/0000-0002-4605-5045","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, UK","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055482816"],"corresponding_institution_ids":["https://openalex.org/I40120149","https://openalex.org/I4210149706"],"apc_list":null,"apc_paid":null,"fwci":3.8556,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.91717583,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"33","issue":"4","first_page":"484","last_page":"486"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994999766349792,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994999766349792,"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/T11476","display_name":"Graph theory and applications","score":0.9926999807357788,"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"}},{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9901999831199646,"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":0.5251314640045166},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.43728673458099365},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3951514959335327},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3861836791038513}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5251314640045166},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.43728673458099365},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3951514959335327},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3861836791038513}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548324000051","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548324000051","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6915306195","display_name":null,"funder_award_id":"EP/W522600/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2011552750","https://openalex.org/W2563182657","https://openalex.org/W2912209775","https://openalex.org/W2939518607","https://openalex.org/W3102350663","https://openalex.org/W6731135859"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885","https://openalex.org/W2963966623"],"abstract_inverted_index":{"Abstract":[0],"Tao":[1],"and":[2,27,55],"Vu":[3],"showed":[4],"that":[5],"every":[6],"centrally":[7],"symmetric":[8],"convex":[9],"progression":[10,19],"$C\\subset":[11],"\\mathbb{Z}^d$":[12],"is":[13,48,56],"contained":[14],"in":[15,64],"a":[16],"generalized":[17],"arithmetic":[18],"of":[20,57],"size":[21,31],"$d^{O(d^2)}":[22],"\\#":[23,36,44],"C$":[24,37,45],".":[25,38],"Berg":[26],"Henk":[28],"improved":[29],"the":[30,41,52,58,62,65],"bound":[32,42,63],"to":[33,51],"$d^{O(d\\log":[34],"d)}":[35],"We":[39],"obtain":[40],"$d^{O(d)}":[43],",":[46],"which":[47],"sharp":[49],"up":[50],"implied":[53],"constant":[54],"same":[59],"form":[60],"as":[61],"continuous":[66],"setting":[67],"given":[68],"by":[69],"John\u2019s":[70],"theorem.":[71]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}