A bijection between certain quarter plane walks and Motzkin paths

preprint2014arXivOpen access

This short note gives a bijection between quarter plane walks using the steps $\{\rightarrow, \searrow, \downarrow, \leftarrow, \nwarrow, \uparrow\}$ and bicoloured Motzkin paths.

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A bijection between certain quarter plane walks and Motzkin paths

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