Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the regularity of binomial edge ideals   We study the regularity of binomial edge ideals. For a closed graph $G$ we
show that the regularity of the binomial edge ideal $J_G$ coincides with the
regularity of $\ini_{\lex}(J_G)$ and can be expressed in terms of the
combinatorial data of $G.$ In addition, we give positive answers to
Matsuda-Murai conjecture for some classes of graphs.

3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
7
The categories of this paper are: hep-th