Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the minimal free resolution of symbolic powers of cover ideals of
  graphs   For any graph $G$, assume that $J(G)$ is the cover ideal of $G$. Let
$J(G)^{(k)}$ denote the $k$th symbolic power of $J(G)$. We characterize all
graphs $G$ with the property that $J(G)^{(k)}$ has a linear resolution for some
(equivalently, for all) integer $k\geq 2$. Moreover, it is shown that for any
graph $G$, the sequence $\big({\rm reg}(J(G)^{(k)})\big)_{k=1}^{\infty}$ is
nondecreasing. Furthermore, we compute the largest degree of minimal generators
of $J(G)^{(k)}$ when $G$ is either an unmixed of a claw-free graph.

37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th