On semiring complexity of Schur polynomials

Sergey Fomin; Dima Grigoriev; Dorian Nogneng; Eric Schost

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arXiv · 1608.05043

On semiring complexity of Schur polynomials

Sergey Fomin·Dima Grigoriev·Dorian Nogneng·Eric Schost

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Abstract

Semiring complexity is the version of arithmetic circuit complexity that allows only two operations: addition and multiplication. We show that when the number of variables is fixed, the semiring complexity of a Schur polynomial $s_\lambda$ is $O(log(\lambda_1))$; here $\lambda_1$ is the largest part of the partition $\lambda$.

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Sergey Fomin, Dima Grigoriev, Dorian Nogneng, Eric Schost. 2016-08-17. On semiring complexity of Schur polynomials. https://arxiv.org/abs/1608.05043

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