Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sidorenko's conjecture for a class of graphs: an exposition   A famous conjecture of Sidorenko and Erd\H{o}s-Simonovits states that if H is
a bipartite graph then the random graph with edge density p has in expectation
asymptotically the minimum number of copies of H over all graphs of the same
order and edge density. The goal of this expository note is to give a short
self-contained proof (suitable for teaching in class) of the conjecture if H
has a vertex complete to all vertices in the other part.

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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an