Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superlinear subset partition graphs with dimension reduction, strong
  adjacency, and endpoint count   We construct a sequence of subset partition graphs satisfying the dimension
reduction, adjacency, strong adjacency, and endpoint count properties whose
diameter has a superlinear asymptotic lower bound. These abstractions of
polytope graphs give further evidence against the Linear Hirsch Conjecture.

30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin