According to the previous study, the first-moment pentagon signature P 1 , the first and secondmoment hexagon signatures H 1 and H 2 were highly correlated with the stability of C 60 fullerenes. We further examined these three signatures for the extended dataset from C 20 to C 60 , and broadening the properties from binding energy to include E g and logP (Table and Figure ). Notably, within the group of fullerenes with identical size, a robust linear correlation emerges between topological signatures and the binding energies of fullerenes (Figure ), aligning with findings from previous reports . For example, the linear relationship between E b and P 1 in 1812 C 60 database is described as: