Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Isostatic Conjecture   We show that a jammed packing of disks with generic radii, in a generic
container, is such that the minimal number of contacts occurs and there is only
one dimension of equilibrium stresses. We also point out some connections to
packings with different radii and results in the theory of circle packings
whose graph forms a triangulation of a given topological surface. We also point
out a counterexample, due to F. Nazarov, to a previous conjecture that that
triangulated packings with fixed numbers of disks with fixed numbers of disks
for each radius claiming that such packings were the most dense.

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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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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: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph