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

In this paper, we prove Erdős-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.

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Main Authors:	Ku, Cheng Yeaw, Wong, Kok Bin
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2021
Subjects:	Science::Mathematics T-Intersecting Family Erdős-Ko-Rado
Online Access:	https://hdl.handle.net/10356/154617
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Institution:	Nanyang Technological University
Language:	English

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spelling	sg-ntu-dr.10356-1546172021-12-29T06:17:11Z Erdős-Ko-Rado theorems for set partitions with certain block size Ku, Cheng Yeaw Wong, Kok Bin School of Physical and Mathematical Sciences Division of Mathematical Sciences Science::Mathematics T-Intersecting Family Erdős-Ko-Rado In this paper, we prove Erdős-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. The author Kok Bin Wong was supported by the University of Malaya Research Grant GPF025B-2018. 2021-12-29T06:17:11Z 2021-12-29T06:17:11Z 2020 Journal Article Ku, C. Y. & Wong, K. B. (2020). Erdős-Ko-Rado theorems for set partitions with certain block size. Journal of Combinatorial Theory, Series A, 172, 105180-. https://dx.doi.org/10.1016/j.jcta.2019.105180 0097-3165 https://hdl.handle.net/10356/154617 10.1016/j.jcta.2019.105180 2-s2.0-85076252552 172 105180 en Journal of Combinatorial Theory, Series A © 2019 Elsevier Inc. All rights reserved.
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	Science::Mathematics T-Intersecting Family Erdős-Ko-Rado
spellingShingle	Science::Mathematics T-Intersecting Family Erdős-Ko-Rado Ku, Cheng Yeaw Wong, Kok Bin Erdős-Ko-Rado theorems for set partitions with certain block size
description	In this paper, we prove Erdős-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.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Ku, Cheng Yeaw Wong, Kok Bin
format	Article
author	Ku, Cheng Yeaw Wong, Kok Bin
author_sort	Ku, Cheng Yeaw
title	Erdős-Ko-Rado theorems for set partitions with certain block size
title_short	Erdős-Ko-Rado theorems for set partitions with certain block size
title_full	Erdős-Ko-Rado theorems for set partitions with certain block size
title_fullStr	Erdős-Ko-Rado theorems for set partitions with certain block size
title_full_unstemmed	Erdős-Ko-Rado theorems for set partitions with certain block size
title_sort	erdős-ko-rado theorems for set partitions with certain block size
publishDate	2021
url	https://hdl.handle.net/10356/154617
_version_	1722355371225382912

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

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