Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graph connectivity and universal rigidity of bar frameworks   Let $G$ be a graph on $n$ nodes. In this note, we prove that if $G$ is
$(r+1)$-vertex connected, $1 \leq r \leq n-2$, then there exists a
configuration $p$ in general position in $R^r$ such that the bar framework
$(G,p)$ is universally rigid. The proof is constructive and is based on a
theorem by Lovasz et al concerning orthogonal representations and connectivity
of graphs [12,13].

29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin