English

A note on watchman's walks in de Bruijn graphs

Combinatorics 2020-07-28 v1

Abstract

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 kk is described by a de Bruijn sequence of order k1k-1. This idea is extended to certain subdigraphs of de Bruijn graphs.

Cite

@article{arxiv.2007.12825,
  title  = {A note on watchman's walks in de Bruijn graphs},
  author = {Danny Dyer and Jared Howell and Brittany Pittman},
  journal= {arXiv preprint arXiv:2007.12825},
  year   = {2020}
}

Comments

7 pages, 3 figures

R2 v1 2026-06-23T17:23:44.495Z