We present observations and problems connected with a weighted binary tree representation of integer partitions. ๏ฃฉ 2002 Elsevier Science (USA)
Partitions and normal trees
โ Scribed by Muhammad Ali McBeth; Rod McBeth
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 373 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
The partitions of a natural number n (with parts taken in non-increasing order), may be listed in dictionary order. This ordering of partitions is shown to correspond to the post ordering of chains of a finite tree T[n]. It is shown that T[n] belongs to a, the class of normal trees. % occurs independently in Logic and in Combinatorics.
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