Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Excluding induced subdivisions of the bull and related graphs   For any graph $H$, let ${\rm Forb}^*(H)$ be the class of graphs with no
induced subdivision of $H$. It was conjectured in [A.D. Scott, Induced trees in
graphs of large chromatic number, {\em Journal of Graph Theory}, 24:297--311,
1997] that, for every graph $H$, there is a function $f_H:\mathbb{N}
\rightarrow \mathbb{R}$ such that for every graph $G \in {\rm Forb}^*(H)$,
$\chi(G) \leq f_H(\omega(G))$. We prove this conjecture for several graphs $H$,
namely the paw (a triangle with a pendant edge), the bull (a triangle with two
vertex-disjoint pendant edges), and what we call a "necklace," that is, a graph
obtained from a path by choosing a matching such that no edge of the matching
is incident with an endpoint of the path, and for each edge of the matching,
adding a vertex adjacent to the ends of this edge.

24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int