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Graph Theory and Electric Networks

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In this discussion, we mention the following topics concerning electric networks in graph theoretic terms: Kirch. hoff's Laws, mesh and node equations, and matrix tree theorem; flow problems and Menger's theorem; boolean functions and enumeration and synthesis problems; information theory and Markov chains; cut sets and incidence matrices; the "crummy relay" results of Moore and Shannon; and the treatment using electrical concepts of the dissections of rectangles into squares by Brooks, Smith, Stone, and Tuttle. The treatment is expository, but introduces the unifying framework of graph theory for these various considerations.

Published in:

IRE Transactions on Circuit Theory  (Volume:6 ,  Issue: 5 )