Further results on bi-domination in graphs

Manal Naji Al-harere, Athraa Talib Breesam · AIP conference proceedings · 2019

In this paper, new results of domination in graphs called bi-domination are determined. Some properties for bi-dominating set are presented. The bi-domination number of G is the minimum cardinality of a bi-dominating set of G. In this paper, we investigate the bi-domination number for web graph, tadpole graph, lollipop graph, daisy graph, Dutch windmill graph, windmill graph, dumbbell graph, barbell graph, grid graph, product of two path, and the corona H ⊙ K2 and H + K2.

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