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math.CO2020
Graceful Labellings of Various Cyclic Snakes
Ahmad H. Alkasasbeh, Danny Dyer
In this paper, we present a new sufficiency condition to obtain a graceful labelling for every snake and use this condition to label every such snake for …
math.CO2020★ 1 cited
The watchman's walk problem on directed graphs
Danny Dyer, Jared Howell, Brittany Pittman
In a graph, a watchman's walk is a minimum closed dominating walk. Given a graph and a single watchman, the length of a watchman's walk in (the watchman number) is denoted…
math.CO2020★ 1 cited
A note on watchman's walks in de Bruijn graphs
Danny Dyer, Jared Howell, Brittany Pittman
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 o…