Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved Spanning on Theta-5   We show an upper bound of $\frac{
  \sin\left(\frac{3\pi}{10}\right)
  }{
  \sin\left(\frac{2\pi}{5}\right)-\sin\left(\frac{3\pi}{10}\right)
  }
  <5.70$ on the spanning ratio of $\Theta_5$-graphs, improving on the previous
best known upper bound of $9.96$ [Bose, Morin, van Renssen, and Verdonschot.
The Theta-5-graph is a spanner. Computational Geometry, 2015.]

0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th