Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note on clique polynomials and independent set polynomial of graphs   In 1994, Cornelis Hoede and Xueliang Li introduced the clique polynomial of a
graph. Also, a theorem for the edge subgraph expansion for clique polynomials.
In this note we present a counter example for it and explain which case it
could be a valid theorem.

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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg