Some Topological Considerations in Network Theory
- 1 March 1958
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IRE Transactions on Circuit Theory
- Vol. 5 (1), 30-42
- https://doi.org/10.1109/tct.1958.1086421
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
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