2-distance Zero Forcing Sets in Graphs
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i2.5046Keywords:
Zero forcing set, 2-distance zero forcing set, 2-distance zero forcing numberAbstract
In this paper, we introduce new concept in graph theory called 2-distance zero forcing. We give some properties of this new parameter and investigate its connections with other parameters such as zero forcing and hop domination. We show that 2-distance zero forcing and hop domination (respectively, zero forcing parameter) are incomparable. Moreover, we characterize 2-distance zero forcing sets in some special graphs, and finally derive the exact values or bounds of the parameter using these results.
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