Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Powers of Ideals Associated to $(C_4, 2K_2)$-free Graphs   Let $G$ be a $(C_4, 2K_2)$-free graph with edge ideal $I(G)\subset
\Bbbk[x_1,\dots , x_n]$. We show that $I(G)^s$ has linear resolution for every
$s\geq 2$. Also, we show that every power of the vertex cover ideal of $G$ has
linear quotients. As a result, we describe the Castelnuovo-Mumford regularity
of powers of $I(G)^{\vee}$ in terms of the maximum degree of $G$.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci