Optimization over Young Diagrams

Published 13 Sep 2020 in math.OC, cs.DM, cs.DS, and math.CO | (2009.05953v1)

Abstract: We consider the problem of finding a Young diagram minimizing the sum of evaluations of a given pair of functions on the parts of the associated pair of conjugate partitions. While there are exponentially many diagrams, we show it is polynomial time solvable.

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Shmuel Onn

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