Component current method of circuit analysis

IN THE APPLICATION of the mesh analysis method to network problems a question is frequently raised: How should the loop currents be chosen so their independence will always be assured? Several rules may be followed to assure the independence of the set of loop currents. For instance, if a network is flat its mesh currents form a set of independent loop currents. Another scheme that may be followed is to choose the loop currents in such a way that, as each loop current path is traced, it includes at least one new branch that has not been traced before.