A short proof for a lower bound on the zero forcing number

Maximilian Fürst, Dieter Rautenbach · Discussiones Mathematicae Graph Theory · 2018

We provide a short proof of a conjecture of Davila and Kenter concerning a lower bound on the zero forcing number Z(G) of a graph G. More specifically, we show that Z(G) (g -2)( -2) + 2 for every graph G of girth g at least 3 and minimum degree at least 2.

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