Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Families of Small Regular Graphs of Girth 5   In this paper we obtain $(q+3)$--regular graphs of girth 5 with fewer
vertices than previously known ones for $q=13,17,19$ and for any prime $q \ge
23$ performing operations of reductions and amalgams on the Levi graph $B_q$ of
an elliptic semiplane of type ${\cal C}$. We also obtain a 13-regular graph of
girth 5 on 236 vertices from $B_{11}$ using the same technique.

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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an