{"id":"https://openalex.org/W4387264767","doi":"https://doi.org/10.1017/s0963548323000305","title":"Intersecting families without unique shadow","display_name":"Intersecting families without unique shadow","publication_year":2023,"publication_date":"2023-10-02","ids":{"openalex":"https://openalex.org/W4387264767","doi":"https://doi.org/10.1017/s0963548323000305"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548323000305","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548323000305","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/A5056866010","display_name":"P\u00e9ter Frankl","orcid":null},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Peter Frankl","raw_affiliation_strings":["R\u00e9nyi Institute, Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"R\u00e9nyi Institute, Budapest, Hungary","institution_ids":["https://openalex.org/I127817813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101690212","display_name":"Jian Wang","orcid":"https://orcid.org/0000-0002-9134-1665"},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jian Wang","raw_affiliation_strings":["Department of Mathematics, Taiyuan University of Technology, Taiyuan, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Taiyuan University of Technology, Taiyuan, P. R. China","institution_ids":["https://openalex.org/I9086337"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101690212"],"corresponding_institution_ids":["https://openalex.org/I9086337"],"apc_list":null,"apc_paid":null,"fwci":1.4012,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.77549624,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"33","issue":"1","first_page":"91","last_page":"109"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9941999912261963,"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/shadow","display_name":"Shadow (psychology)","score":0.9282609224319458},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7167274951934814},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5523385405540466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5048676133155823},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.34645989537239075},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19941073656082153},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.08000063896179199},{"id":"https://openalex.org/keywords/psychoanalysis","display_name":"Psychoanalysis","score":0.05091497302055359}],"concepts":[{"id":"https://openalex.org/C117797892","wikidata":"https://www.wikidata.org/wiki/Q286363","display_name":"Shadow (psychology)","level":2,"score":0.9282609224319458},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7167274951934814},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5523385405540466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5048676133155823},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34645989537239075},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19941073656082153},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.08000063896179199},{"id":"https://openalex.org/C11171543","wikidata":"https://www.wikidata.org/wiki/Q41630","display_name":"Psychoanalysis","level":1,"score":0.05091497302055359},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548323000305","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548323000305","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W7943539","https://openalex.org/W1648902078","https://openalex.org/W1992531333","https://openalex.org/W1992844673","https://openalex.org/W2006901918","https://openalex.org/W2016341899","https://openalex.org/W2019935404","https://openalex.org/W2025247912","https://openalex.org/W2025324955","https://openalex.org/W2056655718","https://openalex.org/W2059283278","https://openalex.org/W2068795011","https://openalex.org/W2143550124","https://openalex.org/W2909784596","https://openalex.org/W3094179932","https://openalex.org/W3143189643","https://openalex.org/W3158713846","https://openalex.org/W3193162721","https://openalex.org/W4313368202"],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049","https://openalex.org/W2271181815"],"abstract_inverted_index":{"Abstract":[0],"Let":[1,27],"$\\mathcal{F}$":[2,25],"be":[3],"an":[4],"intersecting":[5,56],"family.":[6],"A":[7],"$(k-1)$":[8],"-set":[9],"$E$":[10],"is":[11,18,46],"called":[12],"a":[13,65],"unique":[14,48,59],"shadow":[15],"if":[16],"it":[17],"contained":[19],"in":[20],"exactly":[21],"one":[22],"member":[23],"of":[24,64],".":[26,33],"${\\mathcal{A}}=\\{A\\in":[28],"\\binom{[n]}{k}\\colon":[29],"|A\\cap":[30],"\\{1,2,3\\}|\\geq":[31],"2\\}$":[32],"In":[34],"the":[35,47,51],"present":[36],"paper,":[37],"we":[38],"show":[39],"that":[40],"for":[41],"$n\\geq":[42],"28k$":[43],",":[44],"$\\mathcal{A}$":[45],"family":[49],"attaining":[50],"maximum":[52],"size":[53],"among":[54],"all":[55],"families":[57],"without":[58],"shadow.":[60],"Several":[61],"other":[62],"results":[63],"similar":[66],"flavour":[67],"are":[68],"established":[69],"as":[70],"well.":[71]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
