Title :
Complementary trees in circuit theory
fDate :
10/1/1980 12:00:00 AM
Abstract :
In this paper we study the properties of complementary-tree graphs and describe the applications of such graphs in circuit theory. The applications include: 1) a topological method for inverting some special matrices, 2) a new proof of the unimodular property of the fundamental circuit and cutset matrices, and 3) a new characterization of the topological degree of freedom of a graph.
Keywords :
Graph theory and applications; Network theory; Trees; Circuit analysis; Circuit theory; Circuits and systems; Frequency; Intersymbol interference; Terminology; Tree graphs;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1980.1084733
