Interestingly, the reaction to isolated units from polymers with 3-rings was found to be unlikely. In other words, the formation of isolated units (monomers, dimers, and trimers) tends to arise from polymers without 3-rings. This aspect was illustrated by means of the NetworkX with Python package based on the reaction matrix in Figs. S3-S6. Figure shows network graphs for the a-La50 and a-Y50 glasses with the selected reaction paths related to the polymer. The nodes for monomers, dimers, trimers, and polymers with different colors and frames are connected with arrows indicating the reaction probability corresponding to each reaction path as defined in Eq. ( ).