Table 8.

Edge partition of $T_{\mathcal{F}}(\mu )$

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