Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extendable shellability for $d$-dimensional complexes on $d+3$ vertices   We prove that for all $d \geq 1$ a shellable $d$-dimensional simplicial
complex with at most $d+3$ vertices is extendably shellable. The proof involves
considering the structure of `exposed' edges in chordal graphs as well as a
connection to linear quotients of quadratic monomial ideals.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th