Siddhesh Chaubal, Anna Gal

Nisan and Szegedy conjectured that block sensitivity is at most

polynomial in sensitivity for any Boolean function.

Until a recent breakthrough of Huang, the conjecture had been

wide open in the general case,

and was proved only for a few special classes

of Boolean functions.

Huang's result implies that block ...
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Sourav Chakraborty, Chandrima Kayal, Manaswi Paraashar

The role of symmetry in Boolean functions $f:\{0,1\}^n \to \{0,1\}$ has been extensively studied in complexity theory.

For example, symmetric functions, that is, functions that are invariant under the action of $S_n$ is an important class of functions in the study of Boolean functions.

A function $f:\{0,1\}^n \to \{0,1\}$ ...
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