Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamiltonian-connectedness of triangulations with few separating
  triangles   We prove that 3-connected triangulations with at most one separating triangle
are hamiltonian-connected. In order to show bounds on the strongest form of
this theorem, we proved that for any $s\geq4$ there are 3-connected
triangulation with $s$ separating triangles that are not hamiltonian-connected.
We also present computational results which show that all `small' 3-connected
triangulations with at most 3 separating triangles are hamiltonian-connected.

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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
12
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: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph