Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal diagrams of classical knots   We show that if a classical knot diagram satisfies a certain combinatorial
condition then it is minimal with respect to the number of classical crossings.
This statement is proved by using the Kauffman bracket and the construction of
atoms and knots.

15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int