Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generically globally rigid graphs have generic universally rigid
  frameworks   We show that any graph that is generically globally rigid in $\mathbb{R}^d$
has a realization in $\mathbb{R}^d$ that is both generic and universally rigid.
This also implies that the graph also must have a realization in $\mathbb{R}^d$
that is both infinitesimally rigid and universally rigid; such a realization
serves as a certificate of generic global rigidity.
  Our approach involves an algorithm by Lov\'asz, Saks and Schrijver that, for
a sufficiently connected graph, constructs a general position orthogonal
representation of the vertices, and a result of Alfakih that shows how this
representation leads to a stress matrix and a universally rigid framework of
the graph.

28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int