Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On number of different sized induced subgraphs of Bipartite-Ramsey
  graphs   In this paper, we investigate the set of sizes of induced subgraphs of
bipartite graphs. We introduce the definition of $C$-$Bipartite$-$Ramsey$
graphs, which is closely related to Ramsey graphs and prove that in `most'
cases, these graphs have multiplication tables of $\Omega(e(G))$ in size. We
apply our result to give direct evidence to the conjecture that the complete
bipartite graph $K_{n,n}$ is the minimiser of the multiplication table on $n^2$
edges raised by Narayanan, Sahasrabudhe and Tomon.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas