Table 7.

Partition of the vertex set of $T_{\mathcal{F}}(\mu )$ based on neighborhood degree sum of nodes

${\kappa }_{\Gamma }(x),x\in V(T_{\mathcal{F}}(\mu ))$	Frequency
$\lambda +2$	$42\mu \lambda -28\lambda +14\mu -8$
$2\lambda +3$	$14\mu -8$
$2\lambda +6$	$28\mu -20$
$4\lambda +8$	$7\mu -5$