Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On topological changes in the Delaunay triangulation of moving points   Let $P$ be a collection of $n$ points moving along pseudo-algebraic
trajectories in the plane. One of the hardest open problems in combinatorial
and computational geometry is to obtain a nearly quadratic upper bound, or at
least a subcubic bound, on the maximum number of discrete changes that the
Delaunay triangulation $\DT(P)$ of $P$ experiences during the motion of the
points of $P$.
  In this paper we obtain an upper bound of $O(n^{2+\eps})$, for any $\eps>0$,
under the assumptions that (i) any four points can be co-circular at most
twice, and (ii) either no triple of points can be collinear more than twice, or
no ordered triple of points can be collinear more than once.

21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int