Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Treewidth of graphs with balanced separations   We prove that if every subgraph of a graph $G$ has a balanced separation of
order at most $a$ then $G$ has treewidth at most $15a$. This establishes a
linear dependence between the treewidth and the separation number.

27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th