Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graphs in the 3--sphere with maximum symmetry   We consider the orientation-preserving actions of finite groups $G$ on pairs
$(S^3, \Gamma)$, where $\Gamma$ is a connected graph of genus $g>1$, embedded
in $S^3$. For each $g$ we give the maximum order $m_g$ of such $G$ acting on
$(S^3, \Gamma)$ for all such $\Gamma\subset S^3$. Indeed we will classify all
graphs $\Gamma\subset S^3$ which realize these $m_g$ in different levels: as
abstract graphs and as spatial graphs, as well as their group actions.
  Such maximum orders without the condition "orientation-preserving" are also
addressed.

3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs