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Sortabilities of Partition Properties |
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| Authors: | Gerard J Chang Fu-Loong Chen Lingling Huang Frank K Hwang Su-Tzu Nuan Uriel G Rothblum I-Fan Sun Jan-Wen Wang Hong-Gwa Yeh |
| Institution: | (1) Department of Applied Mathematics, National Chiao Tung University, Hsinchu, 30050, Taiwan;(2) Faculty of Industrial Engineering and Management, Technion—Israel Institute of Technology, Haifa, 32000, Israel;(3) Department of Applied Mathematics, National Chiao Tung University, Hsinchu, 30050, Taiwan |
| Abstract: | Consider the partition of a set of integers into parts. Various partition properties have been proposed in the literature to facilitate the restriction of the focus of attention to some small class of partitions. Recently, Hwang, Rothblum and Yao defined and studied the sortability of these partition properties as a tool to prove the existence of a partition with such a property in a given family. In this paper we determine the sortability indices of the seven most interesting properties of partitions providing a complete solution to the sortability issue. |
| Keywords: | partition consecutive partition nested partition order-consecutive partition |
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