Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abelian Girth and Girth   We show that the abelian girth of a graph is at least three times its girth.
We prove an analogue of the Moore bound for the abelian girth of regular
graphs, where the degree of the graph is fixed and the number of vertices is
large. We conclude that one could try to improve the Moore bound for graphs of
fixed degree and many vertices by trying to improve its analogue concerning the
abelian girth.

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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg