Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tur\'an Number for certain subdivisions   In this paper, we give a modest attempt to understand the extremal exponent
for 1- subdivisions of non-bipartite graphs. We obtain an upper bound for the
extremal number of a family of graphs consisting of (possibly degenerate)
1-subdivisions of certain tripartite graphs. We also obtain results on the
1-subdivison of certain graph whose chromatic number is three.

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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom