Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chromatic Zagreb indices for graphical embodiment of colour clusters   For a colour cluster $\mathbb{C} =(\mathcal{C}_1,\mathcal{C}_2,
\mathcal{C}_3,\ldots,\mathcal{C}_\ell)$, where $\mathcal{C}_i$ is a colour
class such that $|\mathcal{C}_i|=r_i$, a positive integer, we investigate two
types of simple connected graph structures $G^{\mathbb{C}}_1$,
$G^{\mathbb{C}}_2$ which represent graphical embodiments of the colour cluster
such that the chromatic numbers
$\chi(G^{\mathbb{C}}_1)=\chi(G^{\mathbb{C}}_2)=\ell$ and
$\min\{\varepsilon(G^{\mathbb{C}}_1)\}=\min\{\varepsilon(G^{\mathbb{C}}_2)\}
=\sum\limits_{i=1}^{\ell}r_i-1$. Therefore, the problem is the edge-minimality
inverse to finding the chromatic number of a given simple connected graph. In
this paper, we also discuss the chromatic Zagreb indices corresponding to
$G^{\mathbb{C}}_1$, $G^{\mathbb{C}}_2$.

6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org