Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hunter & Mole   We consider a variation of a cops and robbers game in which the cop---here
referred to as "hunter"---is not constrained by the graph but must play in the
dark against a "mole." We characterize the graphs---which we will call
"hunter-win"---on which the hunter can guarantee capture of the mole in bounded
time. We also define an optimal hunter strategy (and consequently an upper
bound on maximum game time on hunter-win graphs) and note that an optimal
hunter strategy need not take advantage of the hunter's unconstrained movement!
This game comes from a puzzle of unknown origin which was told to the authors
by Dick Hess.

25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph