Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grid Induced Minor Theorem for Graphs of Small Degree   A graph $H$ is an induced minor of a graph $G$ if $H$ can be obtained from
$G$ by vertex deletions and edge contractions. We show that there is a function
$f(k, d) = O(k^{10} + 2^{d^5})$ so that if a graph has treewidth at least $f(k,
d)$ and maximum degree at most $d$, then it contains a $k \times k$-grid as an
induced minor. This proves the conjecture of Aboulker, Adler, Kim, Sintiari,
and Trotignon [Eur. J. Comb., 98, 2021] that any graph with large treewidth and
bounded maximum degree contains a large wall or the line graph of a large wall
as an induced subgraph. It also implies that for any fixed planar graph $H$,
there is a subexponential time algorithm for maximum weight independent set on
$H$-induced-minor-free graphs.

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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
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The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph