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A note on Beckett-Gray codes and the relationship of Gray codes to data structures

In this paper we introduce a natural mathematical structure derived from Samuel Beckett's play "Quad". We call this structure a binary Beckett-Gray code. We enumerate all codes for $n \leq 6$ and give examples for $n=7,8$. Beckett-Gray codes can be realized as successive states of a queue data structure. We show that the binary reflected Gray code can be realized as successive states of two stack data structures.

preprint2016arXivOpen access
Mark CookeChris NorthMegan DewarBrett Stevens
math.COData Structures and Algorithms
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Mark CookeChris NorthMegan DewarBrett Stevens

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