A Short Proof for a Lower Bound on the Zero Forcing Number
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Zielona Góra
2020-02-01
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| Series: | Discussiones Mathematicae Graph Theory |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgt.2117 |