The degree of branching in micelles was determined by identifying the 'skeleton' (central path) of each micelle, using a modified version of the Conchuir et al. method, and locating the points at which a junction occurred in the resulting micelle skeleton graph. From this method we can identify both micelle branches and end caps. Examples of the resulting skeleton for branched micelles are presented in Fig. where the skeleton is shown running a central path through the micelle. Each 'red' ball is a segmented fragment of the micelle with the 'blue' ball providing additional links obtained by studying the connections between segments. The line then provides the skeleton connections. The branch points are located at red points where three or more lines connect and the end caps where only one line connects. A finite branched WLM (2 branch points, 4 end-caps, no closed paths) is seen in mole ratio 0.67 at pH 3.9 from a 40 simulation box (Fig. ). Branched micelles that wrap around the box and self-link to form an infinite length (e. g. 2D and 3D extended structures) have more branch points than micelle end-caps as did cases where closed paths formed and each junction is treated as a separate branch point. Examples are Fig. where we see a heavily interconnected structure (7 branch points, 3 end-caps, several closed paths) from a single simulation snapshot from the mole ratio 0.0 at pH 3.9 in a 40 simulation cell. In Fig. we show a heavily interconnected (13 branch points, 7 end-caps, many closed paths) structure resulting from a simulation snapshot from the system with mole ratio 0.0 at pH 3.9 in a larger, 50 , simulation cell.