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arXiv · 2007.01018

Bijective enumeration of rook walks

Alexander M. Haupt
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Abstract

In this paper we answer a question posed by R. Stanley in his collection of Bijection Proof Problems (Problem 240). We present a bijective proof for the enumeration of walks of length $k$ a chess rook can move along on an $m\times n$ board starting and ending on the same square.

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Alexander M. Haupt. 2020-07-02. Bijective enumeration of rook walks. https://arxiv.org/abs/2007.01018

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