*3.2. Main Results for HAC*5*C*7[*p*, *q*] *Nanotube*

In this section, we will obtain hyper-Zagreb index *HM*(*G*), first multiple Zagreb index *PM*1(*G*), second multiple Zagreb index *PM*2(*G*), Zagreb polynomials *<sup>M</sup>*1(*<sup>G</sup>*, *<sup>x</sup>*), *<sup>M</sup>*2(*<sup>G</sup>*, *x*) for *HAC*5*C*7[*p*, *q*],(*p*, *q* ≥ 1) Nanotube.
