Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the structure of vertex cuts separating the ends of a graph   Dinits, Karzanov and Lomonosov showed that the minimal edge cuts of a finite
graph have the structure of a cactus, a tree-like graph constructed from
cycles. Evangelidou and Papasoglu extended this to minimal cuts separating the
ends of an infinite graph. In this paper we show that minimal vertex cuts
separating the ends of a graph can be encoded by a succulent, a mild
generalization of a cactus that is still tree-like. We go on to show that the
earlier cactus results follow from our work.

31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an