• **Multiple Zagreb indices of** *HAC***5***C***6***C***7[***p***,** *q***] Nanotube**

Let *G* be the *HAC*5*C*6*C*7[*p*, *q*] Nanotube. Then by Equations (2) and (3), we have

$$\begin{split} PM\_{1}(G) &= \prod\_{sr \in E(G)} [\operatorname{dgr}(s) + \operatorname{dgr}(r)] \\ PM\_{1}(G) &= \prod\_{sr \in E\_{1}} [\operatorname{dgr}(s) + \operatorname{dgr}(r)] \times \prod\_{sr \in E\_{2}} [\operatorname{dgr}(s) + \operatorname{dgr}(r)] \times \prod\_{sr \in E\_{3}} [\operatorname{dgr}(s) + \operatorname{dgr}(r)] \\ &\times \prod\_{sr \in E\_{4}} [\operatorname{dgr}(s) + \operatorname{dgr}(r)] \times \prod\_{sr \in E\_{5}} [\operatorname{dgr}(s) + \operatorname{dgr}(r)] \times \prod\_{sr \in E\_{6}} [\operatorname{dgr}(s) + \operatorname{dgr}(r)] \\ &= 13^{|E\_{1}|} \times 14^{|E\_{2}|} \times 15^{|E\_{3}|} \times 16^{|E\_{4}|} \times 17^{|E\_{5}|} \times 18^{|E\_{6}|} \\ &= 13^{4p} \times 14^{4p} \times 15^{2p} \times 16^{2p} \times 17^{4p} \times 18^{(24p - 18p)} \end{split}$$

$$\begin{split} PM\_2(G) &= \prod\_{sr \in E(G)} [\operatorname{dgr}(s) \times \operatorname{dgr}(r)] \\ PM\_2(G) &= \prod\_{sr \in E\_1} [\operatorname{dgr}(s) \times \operatorname{dgr}(r)] \times \prod\_{sr \in E\_2} [\operatorname{dgr}(s) \times \operatorname{dgr}(r)] \times \prod\_{sr \in E\_3} [\operatorname{dgr}(s) \times \operatorname{dgr}(r)] \\ &\times \prod\_{sr \in E\_4} [\operatorname{dgr}(s) \times \operatorname{dgr}(r)] \times \prod\_{sr \in E\_5} [\operatorname{dgr}(s) \times \operatorname{dgr}(r)] + \prod\_{sr \in E\_6} [\operatorname{dgr}(s) \times \operatorname{dgr}(r)] \\ &= 42^{|E\_1|} \times 48^{|E\_2|} \times 56^{|E\_3|} \times 64^{|E\_4|} \times 72^{|E\_5|} \times 81^{|E\_6|} \\ &= 42^{4p} \times 48^{4p} \times 56^{2p} \times 64^{2p} \times 72^{4p} \times 81^{(24p - 18p)} \end{split}$$

*Symmetry* **2018**, *10*, 244
