# 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}
}
• Y. Shitov
• Published 1 September 2016
• Mathematics, Computer Science
• Theor. Comput. Sci.
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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