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arXiv · 2207.01129

A Gray Code of Ordered Trees

Shin-ichi Nakano
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Abstract

A combinatorial Gray code for a set of combinatorial objects is a sequence of all combinatorial objects in the set so that each object is derived from the preceding object by changing a small part. In this paper we design a Gray code for ordered trees with n vertices such that each ordered tree is derived from the preceding ordered tree by removing a leaf then appending a leaf elsewhere. Thus the change is just remove-and-append a leaf, which is the minimum.

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Shin-ichi Nakano. 2022-07-03. A Gray Code of Ordered Trees. https://arxiv.org/abs/2207.01129

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