Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multistate nested canalizing functions   The concept of a nested canalizing Boolean function has been studied over the
course of the last decade in the context of understanding the regulatory logic
of molecular interaction networks, such as gene regulatory networks. Such
functions appear preferentially in published models of such networks. Recently,
this concept has been generalized to include multi-state functions, and a
recursive formula has been derived for their number, as a function of the
number of variables. This paper carries out a detailed analysis of the class of
nested canalizing functions over an arbitrary finite field. Furthermore, the
paper generalizes the concept further, and derives a closed formula for the
number of such generalized functions. The paper also derives a closed formula
for the number of equivalence classes under permutation of variables. This is
motivated by the fact that two nested canalizing functions that differ by a
permutation of the variables share many important properties with each other.
The paper contributes to the effort of identifying a class of functions over
finite fields that are of interest in biology and also have interesting
mathematical properties.

7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph