Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of fullerenes   We present an infinite series of operations on fullerenes generalizing the
Endo-Kroto operation, such that each combinatorial fullerene is obtained from
the dodecahedron by a sequence of such operations. We prove that these
operations are invertible in the proper sense, and are compositions of
(1;4,5)-, (1;5,5)-, (2,6;4,5)-, (2,6;5,5)-, (2,6;5,6)-, (2,7;5,5)-, and
(2,7;5,6)-truncations, where each truncation increases the number of hexagons
by one.

22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int