Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unique maximum independent sets in graphs on monomials of a fixed degree   We consider graphs on monomials in $n$ variables of a fixed degree $d$ where
two monomials are adjacent if and only if their least common multiple has
degree $d+1$. We prove that when $n = 3$ and $d$ is divisible by $3$ as well as
when $n=4$ and $d$ is even that these graphs have a unique maximum independent
set. Domination in these graphs is also considered, and we conjecture that
there is equality of the domination number and independent domination number in
all cases.

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The categories of this paper are: nlin
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas