Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic Maximal Independent Set   Given a stream $\mathcal{S}$ of insertions and deletions of edges of an
underlying graph $G$ (with fixed vertex set $V$ where $n=|V|$ is the number of
vertices of $G$), we propose a dynamic algorithm that maintains a maximal
independent set (MIS) of $G$ (at any time $t$ of the stream $\mathcal{S}$) with
amortized update time $O(\log^3 n)$.

25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom