Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\gamma$-variable first-order logic of uniform attachment random graphs   We study logical limit laws for uniform attachment random graphs. In this
random graph model, vertices and edges are introduced recursively: at time
$n+1$, the vertex $n+1$ is introduced together with $m$ edges joining the new
vertex with $m$ different vertices chosen uniformly at random from
$1,\ldots,n$. We prove that this random graph obeys convergence law for
first-order sentences with at most $m-2$ variables.

10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ