Algorithm on analyzing RLC electrical network independent all-inductor loop

In paper [8], author has proved that the characteristic roots of A are zeros or unequal non-constants. It is well-known that the independent all-capacitor cut-set and the all-inductor loop would lead the electrical network to have zero eigenvalues. But, how to find out the number of the “independent” all-capacitor cut-sets and the all-inductor loops in a network, obviously if the network is complex, is a hard work. It cannot be done artificially. If we use computer to do it, we need a good algorithm. The paper would give an algorithm on how to find them. and it will help us to research these special structures affect the controllability and observability of electrical network. Both are the reasons why we study this algorithm. In this paper, author expatiates on it and uses an example to show the process in detail.