Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality in inhomogeneous random graphs, and the cut metric   The classical random graph model $G(n,\lambda/n)$ satisfies a `duality
principle', in that removing the giant component from a supercritical instance
of the model leaves (essentially) a subcritical instance. Such principles have
been proved for various models; they are useful since it is often much easier
to study the subcritical model than to directly study small components in the
supercritical model. Here we prove a duality principle of this type for a very
general class of random graphs with independence between the edges, defined by
convergence of the matrices of edge probabilities in the cut metric.

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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
21
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: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph