Corpus ID: 221397209

Reconfiguration graphs of zero forcing sets

@article{Geneson2020ReconfigurationGO,
  title={Reconfiguration graphs of zero forcing sets},
  author={Jesse T. Geneson and Ruth Haas and Leslie Hogben},
  journal={ArXiv},
  year={2020},
  volume={abs/2009.00220}
}
This paper begins the study of reconfiguration of zero forcing sets, and more specifically, the zero forcing graph. Given a base graph $G$, its zero forcing graph, $\mathscr{Z}(G)$, is the graph whose vertices are the minimum zero forcing sets of $G$ with an edge between vertices $B$ and $B'$ of $\mathscr{Z}(G)$ if and only if $B$ can be obtained from $B'$ by changing a single vertex of $G$. It is shown that the zero forcing graph of a forest is connected, but that many zero forcing graphs are… Expand

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