Junta threshold for low degree Boolean functions on the slice

Yuval Filmus

doi:10.37236/11115

Junta threshold for low degree Boolean functions on the slice

Yuval Filmus

Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

We show that a Boolean degree d function on the slice (Formula presented) is a junta if k ≥ 2d, and that this bound is sharp. We prove a similar result for A-valued degree d functions for arbitrary finite A, and for functions on an infinite analog of the slice.

Original language	English
Article number	P1.55
Pages (from-to)	1-55
Number of pages	55
Journal	Electronic Journal of Combinatorics
Volume	30
Issue number	1
DOIs	https://doi.org/10.37236/11115
State	Published - 2023

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

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10.37236/11115

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Junta threshold for low degree Boolean functions on the slice

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