Erdos-Ko-Rado theorems for set partitions with certain block size

Ku, Cheng Yeaw and Wong, Kok Bin (2020) Erdos-Ko-Rado theorems for set partitions with certain block size. Journal of Combinatorial Theory, Series A, 172. ISSN 0097-3165, DOI https://doi.org/10.1016/j.jcta.2019.105180.

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Abstract

In this paper, we prove Erdos-Ko-Rado type results for (a) family of set partitions where the size of each block is a multiple of k; and (b) family of set partitions with minimum block size k. (C) 2019 Elsevier Inc. All rights reserved.

Item Type: Article
Funders: UNSPECIFIED
Uncontrolled Keywords: t-intersecting family; Erdos-Ko-Rado; Set partitions
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Science
Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms Zaharah Ramly
Date Deposited: 31 Dec 2023 03:38
Last Modified: 31 Dec 2023 03:38
URI: http://eprints.um.edu.my/id/eprint/36727

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