Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Creating cycles in Walker-Breaker games   We consider biased $(1:b)$ Walker-Breaker games: Walker and Breaker
alternately claim edges of the complete graph $K_n$, Walker taking one edge and
Breaker claiming $b$ edges in each round, with the constraint that Walker needs
to choose her edges according to a walk. As questioned in a paper by Espig,
Frieze, Krivelevich and Pegden, we study how long a cycle Walker is able to
create and for which biases $b$ Walker has a chance to create a cycle of given
constant length.

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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat