Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three remarks on Matula numbers   In SIAM Review 10, page 273, D. W. Matula described a bijection between N and
the set of topological rooted trees; the number is called the Matula number of
the rooted tree. The Gutman-Ivic-Matula (GIM) function g(n) computes the number
of edges of the unique tree with Matula number n. Since there is a prefix-free
code for the set of prime numbers such that the codelength of each prime p is
2g(p), we show how some properties of the GIM function can be obtained
trivially from coding theorems.

0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci