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On Stable embeddability of partitions

Dongseok Kim·Jaeun Lee
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Abstract

Several natural partial orders on integral partitions, such as the embeddability, the stable embeddability, the bulk embeddability and the supermajorization, raise in the quantum computation, bin-packing and matrix analysis. We find the implications between these partial orders. For integral partitions whose entries are all powers of a fixed number $p$, we show that the embeddability is completely determined by the supermajorization order and we find an algorithm to determine the stable embeddability.

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Dongseok Kim, Jaeun Lee. 2005-05-27. On Stable embeddability of partitions. https://arxiv.org/abs/math/0505611

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