Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On affine motions and universal rigidity of tensegrity frameworks   Recently, Alfakih and Ye [Lin. Algebra Appl. 438:31--36, 2013] proved that if
an $r$-dimensional bar framework $(G,p)$ on $n \geq r+2$ nodes in general
position in $\R^r$ admits a positive semidefinite stress matrix with rank
$n-r-1$, then $(G,p)$ is universally rigid. In this paper, we generalize this
result in two directions. First, we extend this result to tensegrity
frameworks. Second, we replace the general position assumption by the weaker
assumption that in configuration $p$, each point and its neighbors in $G$
affinely span $\R^r$.

1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int