Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A synthesis for exactly 3-edge-connected graphs   A multigraph is exactly k-edge-connected if there are exactly k edge-disjoint
paths between any pair of vertices. We characterize the class of exactly
3-edge-connected graphs, giving a synthesis involving two operations by which
every exactly 3-edge-connected multigraph can be generated. Slightly modified
syntheses give the planar exactly 3-edge-connected graphs and the exactly
3-edge-connected graphs with the fewest possible edges.

14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci