Perfect double Italian domination of a graph

Figures & data

Fig. 1 The trees T_i with ${\gamma }_{dI}(T_i)<{\gamma }_{dI}^p(T_i)$.

Fig. 2 The graphs G with ${\gamma }_{dI}(G)<{\gamma }_{dI}^p(G)$.

Fig. 3 The graphs G with ${\gamma }_{dI}^p(T)<{\gamma }_{dR}^p(T)$.

Fig. 4 Bipartite graph G.

Fig. 5 The graphs G₁, G₂, and G₃.

Fig. 6 Graph G related to ${\mathcal{E}}_4$.

Fig. 7 Graphs $C^{+},C^{++},P^{+}$.

Fig. 8 Graphs $M,F,C^{+},N$.