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A note on watchman's walks in de Bruijn graphs

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arxiv 2007.12825 v1 pith:DYHKB7AW submitted 2020-07-25 math.CO

A note on watchman's walks in de Bruijn graphs

classification math.CO
keywords bruijnwalkwatchmangraphsorderarcscallscertain
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The watchman's walk problem in a digraph calls for finding a minimum length closed dominating walk, where direction of arcs is respected. The watchman's walk of a de Bruijn graph of order $k$ is described by a de Bruijn sequence of order $k-1$. This idea is extended to certain subdigraphs of de Bruijn graphs.

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