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 | |
| State | Published - 2023 |
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics
- Applied Mathematics