Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal rigidity of bar frameworks in general position: a Euclidean
  distance matrix approach   A configuration p in r-dimensional Euclidean space is a finite collection of
labeled points p^1,p^2,...,p^n in R^r that affinely span R^r. Each
configuration p defines a Euclidean distance matrix D_p = (d_ij) =
(||p^i-p^j||^2), where ||.|| denotes the Euclidean norm. A fundamental problem
in distance geometry is to find out whether or not, a given proper subset of
the entries of D_p suffices to uniquely determine the entire matrix D_p. This
problem is known as the universal rigidity problem of bar frameworks. In this
chapter, we present a unified approach for the universal rigidity of bar
frameworks, based on Euclidean distance matrices (EDMs), or equivalently, on
projected Gram matrices. This approach makes the universal rigidity problem
amenable to semi-definite programming methodology. Using this approach, we
survey some recently obtained results and their proofs, emphasizing the case
where the points p^1,...,p^n are in general position.

24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph