Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inducibility of directed paths   A long standing open problem in extremal graph theory is to describe all
graphs that maximize the number of induced copies of a path on four vertices.
The character of the problem changes in the setting of oriented graphs, and
becomes more tractable. Here we resolve this problem in the setting of oriented
graphs without transitive triangles.

14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
19
The categories of this paper are: eess