# Sex-Related Variations in the Brain Motor-Network Connectivity at Rest during Puberty
## 2 Materials and Methods
### Network Analysis  
Each network was obtained from the selected regions' matrix. The network measure of node strength was then calculated. Node strength is the weighted variant of the degree of \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Network** & **Name** & **Anatomical Location** & **x** & **y** & **z** \\ \hline \multirow{4}{*}{Cerebellar} & Cerebellum\_6.L1 & Cerebellum Exterior & \(-16\) & \(-65\) & \(-20\) \\  & Cerebellum\_6.L2 & Cerebellum Exterior & \(-32\) & \(-55\) & \(-25\) \\  & Cerebellum\_6.R1 & Cerebellum Exterior & \(22\) & \(-58\) & \(-23\) \\  & Vermis\_6.L1 & Cerebellum Exterior & \(1\) & \(-62\) & \(-18\) \\ \hline \multirow{4}{*}{Cerebellar} & Precuneus\_L1 & Cerebral White Matter & \(-7\) & \(-52\) & \(61\) \\  & Cingulum\_PostL1 & Supplementary Motor Cortex & \(-14\) & \(-18\) & \(40\) \\  & Supp\_Motor\_Area.L1 & NA & \(0\) & \(-15\) & \(47\) \\  & Supp\_Motor\_Area.R1 & Supplementary Motor Cortex & \(10\) & \(-2\) & \(45\) \\  & Paracentral\_Lobule.L1 & Precentral Gyrus Medial Segment & \(-7\) & \(-21\) & \(65\) \\  & Paracentral\_Lobule.L2 & Precentral Gyrus & \(-7\) & \(-33\) & \(72\) \\  & Postcentral.R1 & Postcentral Gyrus & \(13\) & \(-33\) & \(75\) \\  & Parietal\_Inf.L1 & Postcentral Gyrus & \(-54\) & \(-23\) & \(43\) \\  & Precentral.R1 & Precentral Gyrus & \(29\) & \(-17\) & \(71\) \\  & Precuneus.R1 & Precuneus & \(10\) & \(-46\) & \(73\) \\  & Postcentral.L1 & Postcentral Gyrus & \(-23\) & \(-30\) & \(72\) \\  & Precentral.L1 & Precentral Gyrus & \(-40\) & \(-19\) & \(54\) \\  & Postcentral.R2 & Superior Parietal Lobule & \(29\) & \(-39\) & \(59\) \\  & Postcentral.R3 & Postcentral Gyrus & \(50\) & \(-20\) & \(42\) \\ Sensory/Somatomotor & Postcentral.L2 & Postcentral Gyrus & \(-38\) & \(-27\) & \(69\) \\ Hand & Precentral.R2 & Postcentral Gyrus & \(20\) & \(-29\) & \(60\) \\  & Precentral.R3 & Precentral Gyrus & \(44\) & \(-8\) & \(57\) \\  & Postcentral.L3 & Superior Parietal Lobule & \(-29\) & \(-43\) & \(61\) \\  & Supp\_Motor\_Area.R2 & Precentral Gyrus & \(10\) & \(-17\) & \(74\) \\  & Postcentral.R4 & Postcentral Gyrus & \(22\) & \(-42\) & \(69\) \\  & Postcentral.L4 & NA & \(-45\) & \(-32\) & \(47\) \\  & Postcentral.L5 & Postcentral Gyrus & \(-21\) & \(-31\) & \(61\) \\  & Paracentral\_Lobule.L3 & Precentral Gyrus & \(-13\) & \(-17\) & \(75\) \\  & Precentral.R4 & Precentral Gyrus & \(42\) & \(-20\) & \(55\) \\  & Precentral.L2 & Precentral Gyrus & \(-38\) & \(-15\) & \(69\) \\  & Parietal\_Sup.L1 & Postcentral Gyrus & \(-16\) & \(-46\) & \(73\) \\  & Paracentral\_Lobule.R1 & NA & \(2\) & \(-28\) & \(60\) \\  & Supp\_Motor\_Area.R3 & Precentral Gyrus Medial Segment & \(3\) & \(-17\) & \(58\) \\  & Precentral.R5 & Postcentral Gyrus & \(38\) & \(-17\) & \(45\) \\  & Postcentral.R5 & NA & \(47\) & \(-30\) & \(49\) \\ \hline \multirow{4}{*}{Sensory/Somatomotor} & Postcentral.L6 & Precentral Gyrus & \(-49\) & \(-11\) & \(35\) \\  & Insula.R1 & Posterior Insula & \(36\) & \(-9\) & \(14\) \\ \cline{1-1}  & Postcentral.R6 & Precentral Gyrus & \(51\) & \(-6\) & \(32\) \\ \cline{1-1}  & Postcentral.L7 & Postcentral Gyrus & \(-53\) & \(-10\) & \(24\) \\ \cline{1-1}  & Postcentral.R7 & Postcentral Gyrus & \(66\) & \(-8\) & \(25\) \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Region names, coordinates, and anatomical location from the Cerebellar, Sensory/Somatomotor Hand and Sensory/Somatomotor Mouth networks from the Power atlas as reported in brainGraph R package [27]. the node, which denotes the number of edges connected to a node [28]. Weighted measures account for the heterogeneity of the correlations within network topology. \[k_{i}^{w}\ =\ \sum_{j\in N}w_{ij} \tag{1}\]  
A subsequent analysis was done recalculating the node strength for the subnetwork for each independent hemisphere. An analogous analysis was done for the cerebellar-mouth and the cerebellar-hand regions, with their respective hemisphere subnetworks. Centrality measures of hubness and leverage were calculated for the entire network for each study group.