Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: First-order interpretations of bounded expansion classes   The notion of bounded expansion captures uniform sparsity of graph classes
and renders various algorithmic problems that are hard in general tractable. In
particular, the model-checking problem for first-order logic is fixed-parameter
tractable over such graph classes. With the aim of generalizing such results to
dense graphs, we introduce classes of graphs with structurally bounded
expansion, defined as first-order interpretations of classes of bounded
expansion. As a first step towards their algorithmic treatment, we provide
their characterization analogous to the characterization of classes of bounded
expansion via low treedepth decompositions, replacing treedepth by its dense
analogue called shrubdepth.

29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex