Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The homomorphism threshold of $\{C_3, C_5\}$-free graphs   We determine the structure of $\{C_3, C_5\}$-free graphs with $n$ vertices
and minimum degree larger than $n/5$: such graphs are homomorphic to the graph
obtained from a $(5k - 3)$-cycle by adding all chords of length $1$ mod $5$,
for some $k$. This answers a question of Messuti and Schacht. We deduce that
the homomorphism threshold of $\{C_3, C_5\}$-free graphs is $1/5$, thus
answering a question of Oberkampf and Schacht.

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The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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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: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat