Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The game colouring number of powers of forests   We prove that the game colouring number of the $m$-th power of a forest of
maximum degree $\Delta\ge3$ is bounded from above by
\[\frac{(\Delta-1)^m-1}{\Delta-2}+2^m+1,\] which improves the best known bound
by an asymptotic factor of 2.

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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn