Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sombor Index of Polymers   Let $G=(V,E)$ be a finite simple graph. The Sombor index $SO(G)$ of $G$ is
defined as $\sum_{uv\in E(G)}\sqrt{d_u^2+d_v^2}$, where $d_u$ is the degree of
vertex $u$ in $G$. Let $G$ be a connected graph constructed from pairwise
disjoint connected graphs $G_1,\ldots ,G_k$ by selecting a vertex of $G_1$, a
vertex of $G_2$, and identifying these two vertices. Then continue in this
manner inductively. We say that $G$ is a polymer graph, obtained by
point-attaching from monomer units $G_1,...,G_k$. In this paper, we consider
some particular cases of these graphs that are of importance in chemistry and
study their Sombor index.

31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio