Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isometric path numbers of graphs   An isometric path between two vertices in a graph $G$ is a shortest path
joining them. The isometric path number of $G$, denoted by $\ip(G)$, is the
minimum number of isometric paths needed to cover all vertices of $G$. In this
paper, we determine exact values of isometric path numbers of complete
$r$-partite graphs and Cartesian products of 2 or 3 complete graphs.

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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th