Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological invariants of Cameron--Walker graphs   Let $G$ be a finite simple connected graph on $[n]$ and $R = K[x_1, \ldots,
x_n]$ the polynomial ring in $n$ variables over a field $K$. The edge ideal of
$G$ is the ideal $I(G)$ of $R$ which is generated by those monomials $x_ix_j$
for which $\{i, j\}$ is an edge of $G$. In the present paper, the possible
tuples $(n, {\rm depth} (R/I(G)), {\rm reg} (R/I(G)), \dim R/I(G), {\rm deg} \
h(R/I(G)))$, where ${\rm deg} \ h(R/I(G))$ is the degree of the $h$-polynomial
of $R/I(G)$, arising from Cameron--Walker graphs on $[n]$ will be completely
determined.

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The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: eess
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin