Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differentials on Graph Complexes III - Deleting a Vertex   We prove that the hairy graph complex with the extra differential is almost
acyclic. This justifies the construction of hairy graph cohomology classes by
the waterfall mechanism. The main idea used in the paper is a new differential,
deleting a vertex. We hope that the new differential can have further
applications in the study of graph cohomology.

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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph