A classical result of Nisan and Szegedy states that a Boolean degree $d$ function is a junta depending on at most $d2^{d-1}$ coordinates. We extend this result to the slice.
BibTeX
@article{FI2019b,
author = {Yuval Filmus and Ferdinand Ihringer},
title = {Boolean constant degree functions on the slice are juntas},
journal = {Discrete Mathematics},
volume = {342},
number = {12},
pages = {111614},
year = {2019}
}
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