Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complexes of trees and nested set complexes   We exhibit an identity of abstract simplicial complexes between the
well-studied complex of trees and the reduced minimal nested set complex of the
partition lattice. We conclude that the order complex of the partition lattice
can be obtained from the complex of trees by a sequence of stellar
subdivisions. We provide an explicit cohomology basis for the complex of trees
that emerges naturally from this context.
  Motivated by these results, we review the generalization of complexes of
trees to complexes of $k$-trees by Hanlon, and we propose yet another, in the
context of nested set complexes more natural, generalization.

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The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc