# On the complexity of failed zero forcing

@article{Shitov2017OnTC, title={On the complexity of failed zero forcing}, author={Yaroslav Shitov}, journal={Theor. Comput. Sci.}, year={2017}, volume={660}, pages={102-104} }

Let $G$ be a simple graph whose vertices are partitioned into two subsets, called filled vertices and empty vertices. A vertex $v$ is said to be forced by a filled vertex $u$ if $v$ is a unique empty neighbor of $u$. If we can fill all the vertices of $G$ by repeatedly filling the forced ones, then we call an initial set of filled vertices a forcing set. We discuss the so-called failed forcing number of a graph, which is the largest cardinality of a set which is not forcing. Answering the…

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