## 4 Discussion  
### Group Analysis  
Given the definition of the group graph, \(G(\rho,r)\), a larger number of links implicates that the FC patterns were found more consistently across subjects, and vice versa. Evidently, less restrictive thresholds should yield larger numbers of functional connections; however, thresholds that are too low have a greater risk of resulting in spurious links and, hence, allowing for misleading information. Nonetheless, as mentioned, there is still no established manner for setting thresholds for this type of study. Therefore, by working with different sets of values, we should be able to assess whether general trends can be observed at the group level, at least regarding specific thresholds ranges. It is worth emphasizing that, given the definition of the elements of \(G(\rho,r)\) in Equation (5), observed trends in Figure 3 necessarily occurred for all patients. Since distinct EEG rhythms might relate  
Figure 7: BC variations between pre- and post-intervention for all subjects and frequency bands; \(r=0.75\) and \(\rho=0.30\). Plotted radii are subject-specific. Only statistically significant variations are shown (\(p<0.00002\); Wilcoxon test). to different cognitive and affective states [49], it is actually reasonable that FC patterns were not equal across all rhythms. In addition, it is worth observing that, even though MI is predominantly linked to rhythms within the \(\alpha\) range (i.e., the \(\mu\) band), this task could also induce the observed alterations for the \(\beta\) and \(\gamma\) bands; the latter, especially, is commonly overlooked in MI-EEG studies (notwithstanding, recent works have increasingly argued for the involvement of this band in this type of task--e.g., [50]). Moreover, as mentioned, functional links were more consistently found across subjects prior to the AO+MI-VR intervention. Interestingly, a functional near-infrared spectroscopy (fNIRS) study in children with CP [51] has showed that, immediately following constraint-induced movement therapy, FC patterns' consistency across subjects diminished between the supplementary motor area and the premotor and primary sensorimotor areas. However, the original pre-therapy consistency patterns were recovered at a 6-months follow-up period [51]. Although we have employed distinct analysis and MI intervention approaches, and the nature of the EEG and fNIRS signals certainly differ, our results in Figure 3 did display less consistent inter-subject FC patterns post-session, and, complementarily, Figure 4 provided the notion that the intra-subject consistency in functional links shifted from premotor and primary sensorimotor areas mainly towards the parietal cortex. In this paper, we obtained, at least to some extent and qualitatively, with a distinct methodology for data analysis, therapy intervention and brain activity recording technique, similar results to [PERSON] and colleagues in [51]. Furthermore, a recent paper investigated the relationship between the frontoparietal network reconfiguration, assessed through EEG FC analysis, and attentional performance in healthy adults [52]. Overall, the authors propose that weak frontoparietal connectivity could be an indicator of improvement in performance of everyday tasks involving attentional performance due to the capacity for network reconfiguration involving these functional connections [52]. Therefore, the ability to learn was related to the degree of frontoparietal connections reorganization. In our study, indeed, frontal and parietal regions were the ones mostly implicated in the functional reorganization of the group's adjacency matrix in our study (Figure 4). Moreover, the frontoparietal network has been consistently implicated in higher cognitive control and considered as a functional hub that interacts with other brain networks, being flexible in its functional communications to allow the learning of new tasks involving cognitive control [53].