On stable embeddability of partitions

Dongseok Kim,Jaeun Lee

Published 2005 in European journal of combinatorics (Print)

ABSTRACT

Several natural partial orders on integral partitions, such as the embeddability, the stable embeddability, the bulk embeddability and the supermajorization, arise in quantum computation, bin-packing and matrix analysis. We find the implications of 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 for determining the stable embeddability.

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