Geodesic
A Short Proof for a Lower Bound on the Zero Forcing Number
Discussiones Mathematicae. Graph Theory, Tome 40 (2020) no. 1, pp. 355-360

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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)(δ − 2) + 2 for every graph G of girth g at least 3 and minimum degree δ at least 2.
Keywords: zero forcing, girth, Moore bound 
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Fürst, Maximilian; Rautenbach, Dieter. A Short Proof for a Lower Bound on the Zero Forcing Number. Discussiones Mathematicae. Graph Theory, Tome 40 (2020) no. 1, pp. 355-360. http://geodesic.mathdoc.fr/item/DMGT_2020_40_1_a24/