Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hilbert Series Of Binomial Edge Ideals   Let $G$ be a finite simple graph on $n$ vertices and $J_G$ denote the
corresponding binomial edge ideal in the polynomial ring $S = K[x_1, \ldots,
x_n, y_1, \ldots, y_n].$ In this article, we compute the Hilbert series of
binomial edge ideal of decomposable graphs in terms of Hilbert series of its
indecomposable subgraphs. Also, we compute the Hilbert series of binomial edge
ideal of join of two graphs and as a consequence we obtain the Hilbert series
of complete $k$-partite graph, fan graph, multi-fan graph and wheel graph.

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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol