Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On extremal multiplicative Zagreb indices of trees with given domination
  number   For a graph $G$, the first multiplicative Zagreb index $\prod_1$ is equal to
the product of squares of the vertex degrees, and the second multiplicative
Zagreb index $\prod_2$ is equal to the product of the products of degrees of
pairs of adjacent vertices. The (mutiplicative) Zagreb indices have been the
focus of considerable research in computational chemistry dating back to Gutman
and Trinajsti\'c in 1972.
  In this paper, we explore the mutiplicative Zagreb indices in terms of
arbitrary domination number. The sharp upper and lower bounds of $\prod_1(G)$
and $\prod_2(G)$ are given. In addition, the corresponding extreme graphs are
charaterized.

34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph