Abstract

We present a simple algorithm that generates cyclic rotation Gray codes for stamp foldings and semi-meanders, where consecutive strings differ by a stamp rotation. These are the first known Gray codes for stamp foldings and semi-meanders, and we thus solve an open problem posted by Sawada and Li in [Electron. J. Comb. 19(2), 2012]. The algorithm generates each stamp folding and semi-meander in constant amortized time and O(n)-amortized time per string respectively, using a linear amount of memory.

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