Topological Rules for Linear Networks and Their Application

A. Nathan, Dan Censor

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Nathan's rules are stated and their applications are illustrated. The rules provide the expansion of admittance functions of linear networks which may include reciprocal and nonreciprocal branches, infinite-gain operational amplifiers, dependent current or voltage sources, vacuum tubes, transistors, and ideal transformers. Kirchhoff's rules for reciprocal networks as well as signal-flow-graph rules are included as special cases. The rules are purely topological and, in contradistinction to some prior work, do not include sign rules dependent upon an arbitrary assisgnment of labels to nodes, or directions to branches. The applications include transistor, vacuum tube, analog computation, and transformer networks.

Original languageEnglish
Pages (from-to)167-171
Number of pages5
JournalIEEE Transactions on Education
Issue number3
StatePublished - 1 Jan 1967
Externally publishedYes

ASJC Scopus subject areas

  • Education
  • Electrical and Electronic Engineering


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