Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Saturation Numbers for Linear Forests $P_6$ + $tP_2$   A graph $G$ is $H$-saturated if it contains no $H$ as a subgraph, but does
contain $H$ after the addition of any edge in the complement of $G$. The
saturation number, $sat (n, H)$, is the minimum number of edges of a graph in
the set of all $H$-saturated graphs with order $n$. In this paper, we determine
the saturation number $sat (n, P_6 + tP_2)$ for $n \geq 10t/3 + 10$ and
characterize the extremal graphs for $n >10t/3 + 20$.

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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom