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arXiv · 1403.1818

Gray Codes and Overlap Cycles for Restricted Weight Words

Victoria Horan·Glenn Hurlbert
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Abstract

A Gray code is a listing structure for a set of combinatorial objects such that some consistent (usually minimal) change property is maintained throughout adjacent elements in the list. While Gray codes for m-ary strings have been considered in the past, we provide a new, simple Gray code for fixed-weight m-ary strings. In addition, we consider a relatively new type of Gray code known as overlap cycles and prove basic existence results concerning overlap cycles for fixed-weight and weight-range m-ary words.

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BibTeXRIS

Victoria Horan, Glenn Hurlbert. 2014-03-07. Gray Codes and Overlap Cycles for Restricted Weight Words. https://arxiv.org/abs/1403.1818

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