Formulas and Properties of 2-Hop Domination in Some Graphs
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i2.5065Keywords:
2-hop dominating set , 2-hop domination numberAbstract
In this paper, 2-hop domination parameter is introduced and investigated on some special graphs and on the join of two graphs. Characterizations of 2-hop dominating sets in some special graphs are formulated to derive bounds or formulas of the parameter of these graphs. Moreover, new variant of pointwise non-domination is introduced to characterize 2-hop dominating sets in the join of two graphs. This characterization is used to calculate the exact value of 2-hop domination number of the join of two graphs.
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