Basic constraints from graph theory for dc-to-dc conversion networks

Some theorems in graph theory, which have received little use in circuit theory, are used to derive constraints on the voltage, current, and power associated with the elements in a dc-to-dc conversion network. The result is an insight into the necessary roles of the switches and reactances in the network. The application of the graph theorems to this problem shows their flexibility, and it is expected that they will prove useful in other areas of circuit theory.