{"doi":"10.1002/sapm19765511","title":"Extensions of the Erdös‐Ko‐Rado Theorem","abstract":"<jats:p>An antichain of subsets of 1,2,...,<jats:italic>n</jats:italic> has the Erdös‐Ko‐Rado property if |<jats:italic>A<jats:sub>i</jats:sub></jats:italic>|⩽<jats:italic>n</jats:italic>/2 and <jats:italic>A<jats:sub>i</jats:sub></jats:italic>∩<jats:italic>A<jats:sub>j</jats:sub></jats:italic>≠Ø(<jats:italic>i</jats:italic>=<jats:italic>j</jats:italic>). This paper contains a number of results concerning the distribution of sizes of sets in such a family, and also in families where the restriction |<jats:italic>A<jats:sub>i</jats:sub></jats:italic>|⩽<jats:italic>n</jats:italic>/2 is removed.</jats:p>","journal":"Studies in Applied Mathematics","year":1976,"id":5309,"datarank":0.40620753016533157,"base_score":2.70805020110221,"endowment":2.70805020110221,"self_citation_contribution":0.40620753016533157,"citation_network_contribution":0.0,"self_endowment_contribution":0.40620753016533157,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":14,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":0.0523,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"1976-03-01","fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":52954,"name":"G. O. H. Katona","orcid":null,"position":1,"is_corresponding":false},{"id":52955,"name":"D. J. Kleitman","orcid":null,"position":2,"is_corresponding":false},{"id":308,"name":"Casey S. Greene","orcid":"0000-0001-8713-9213","position":3,"is_corresponding":false},{"id":52956,"name":"Gyula O. H. Katona","orcid":"0000-0002-0188-0391","position":4,"is_corresponding":false},{"id":52957,"name":"Daniel J. Kleitman","orcid":null,"position":5,"is_corresponding":false}],"reference_count":15,"raw_metadata":null,"created_at":"2026-03-01T18:20:47.508186Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}