Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamiltonicity via cohomology of right-angled Artin groups   Let $\Gamma$ be a finite graph and let $A(\Gamma)$ be the corresponding
right-angled Artin group. We characterize the Hamiltonicity of $\Gamma$ via the
structure of the cohomology algebra of $A(\Gamma)$. In doing so, we define and
develop a new canonical graph associated to a matrix, which as a consequence
provides a novel perspective on the matrix determinant.

1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th