Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hierarchical organization versus self-organization   In this paper we try to define the difference between hierarchical
organization and self-organization. Organization is defined as a structure with
a function. So we can define the difference between hierarchical organization
and self-organization both on the structure as on the function. In the next two
chapters these two definitions are given. For the structure we will use some
existing definitions in graph theory, for the function we will use existing
theory on (self-)organization. In the third chapter we will look how these two
definitions agree. Finally we give a conclusion.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin