English

On the number of relevant variables for discrete functions

Combinatorics 2025-12-01 v1 Information Theory math.IT

Abstract

We consider various definitions of degrees of discrete functions and establish relations between the number of relevant (essential) variables and degrees of two- and three-valued functions. Keywords: relevant variable, sensitivity, degree of Boolean function.

Keywords

Cite

@article{arxiv.2410.21937,
  title  = {On the number of relevant variables for discrete functions},
  author = {V. N. Potapov},
  journal= {arXiv preprint arXiv:2410.21937},
  year   = {2025}
}