Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: First order limits of sparse graphs: Plane trees and path-width   Nesetril and Ossona de Mendez introduced the notion of first order
convergence as an attempt to unify the notions of convergence for sparse and
dense graphs. It is known that there exist first order convergent sequences of
graphs with no limit modeling (an analytic representation of the limit). On the
positive side, every first order convergent sequence of trees or graphs with no
long path (graphs with bounded tree-depth) has a limit modeling. We strengthen
these results by showing that every first order convergent sequence of plane
trees (trees with embeddings in the plane) and every first order convergent
sequence of graphs with bounded path-width has a limit modeling.

20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol