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A technique for computing the zero forcing number of a graph with a cut-vertex. (English) Zbl 1241.05086
Summary: The zero forcing number of a graph is the minimum size of a zero forcing set. This parameter is useful in the minimum rank/maximum nullity problem, as it gives an upper bound to the maximum nullity. Results for determining graphs with extreme zero forcing numbers, for determining the zero forcing number of graphs with a cut-vertex, and for determining the zero forcing number of unicyclic graphs are presented.

05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
15A03 Vector spaces, linear dependence, rank, lineability
05C38 Paths and cycles
Full Text: DOI
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