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Minimal Eulerian trail in a labeled digraph

Martin Matamala·Eduardo Moreno
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Abstract

Let $G$ be an Eulerian directed graph with an arc-labeling such that arcs going out from the same vertex have different labels. In this work, we present an algorithm to construct the Eulerian trail starting at an arbitrary vertex $v$ of minimum lexicographical label among labels of all Eulerian trails starting at this vertex. We also show an application of this algorithm to construct the minimal de Bruijn sequence of a language.

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Martin Matamala, Eduardo Moreno. 2005-05-12. Minimal Eulerian trail in a labeled digraph. https://arxiv.org/abs/cs/0505036

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