Global topological symmetry is important when different rotatable bonds are symmetry equivalent. For TABS, this translates to different bits within one TABS describing the same rotatable bond, leading to permutations of TABS that correspond to the same 3D structure. This symmetry is detected by identifying and marking automorphisms on the molecular graph and taking chirality into account. An example of such a global symmetry is shown in Figure , where one possible alternate mapping is identified. With (0,1,3,4) and as the two dihedrals spanning the conformational space, each TABS for this particular molecule consists of two digits. Analyzing the symmetry reveals that a permutation of these two digits corresponds to equivalent structures. In these cases, we choose the arrangement of digits that produces the TABS with the lowest integer value, here 12.