Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Percolation thresholds on 2D Voronoi networks and Delaunay
  triangulations   The site percolation threshold for the random Voronoi network is determined
numerically for the first time, with the result p_c = 0.71410 +/- 0.00002,
using Monte-Carlo simulation on periodic systems of up to 40000 sites. The
result is very close to the recent theoretical estimate p_c = 0.7151 of Neher,
Mecke, and Wagner. For the bond threshold on the Voronoi network, we find p_c =
0.666931 +/- 0.000005, implying that for its dual, the Delaunay triangulation,
p_c = 0.333069 +/- 0.000005. These results rule out the conjecture by Hsu and
Huang that the bond thresholds are 2/3 and 1/3 respectively, but support the
conjecture of Wierman that for fully triangulated lattices other than the
regular triangular lattice, the bond threshold is less than 2 sin pi/18 =
0.3473.

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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn