Title :
Some Topological Considerations in Network Theory
fDate :
3/1/1958 12:00:00 AM
Abstract :
Elements of the theory of linear graphs which are readily applicable to communication theories are reviewed. These concepts are used to examine the geometrical significance of Kirchhoff´s laws. Topological rules are discussed and illustrated which aid not only in formulating solutions for the resistive networks considered by Kirchhoff but also apply to RLC networks, switching networks, and probabilistically defined networks. References for further study are given.
Keywords :
Network topology; Bridge circuits; Circuit theory; Frequency domain analysis; Integrated circuit synthesis; Linear algebra; Mathematics; Network synthesis; Network theory (graphs); Network topology; Reliability;
Journal_Title :
Circuit Theory, IRE Transactions on
DOI :
10.1109/TCT.1958.1086421