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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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. |
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Nanyang Technological University |
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NTU Library |
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Asia |
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Singapore Singapore |
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English |
| topic |
Science::Mathematics T-Intersecting Family Erdős-Ko-Rado |
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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 |