Title :
The misapplication of graph theory to electric networks
Author_Institution :
General Electric Company, Schenectady, N. Y.
Abstract :
Graph theory offers a false and misleading model for an electric network, a tearable orthogonal structure possessing branches only, and no nodes or planes. The unnecessary introduction of nodes and an avalanche of meaningless matrices is a smoke screen to hide the use of tensors, whose appearance is imperative and inescapable. During their analysis, graph theorists must always necessarily return by some legerdemain to the correct tensorial branch theory, which however is camouflaged with a misfit graph terminology.
Keywords :
Current; Electricity; Graph theory; Materials; Tensile stress; Topology; Transmission line matrix methods;
Journal_Title :
American Institute of Electrical Engineers, Part I: Communication and Electronics, Transactions of the
DOI :
10.1109/TCE.1962.6373133
