Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximum run length in a toroidal grid graph   A toroidal grid graph is a Cartesian product of cycles, and the run length of
a Hamiltonian cycle in a grid graph is defined to be the maximum number r such
that any r consecutive edges include no more than one edge in any dimension. By
constructive methods, we place bounds on the maximum run length possible for a
Hamiltonian cycle in several families of grid graphs.

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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: stat
29
The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom