DocumentCode :
1201062
Title :
Graph Theory and Electric Networks
Author :
Harary, Frank
Volume :
6
Issue :
5
fYear :
1959
fDate :
5/1/1959 12:00:00 AM
Firstpage :
95
Lastpage :
109
Abstract :
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.
Keywords :
Graph and matrix theory; Books; Circuit theory; Graph theory; Linearity; Terminology; Topology; Vectors;
fLanguage :
English
Journal_Title :
Circuit Theory, IRE Transactions on
Publisher :
ieee
ISSN :
0096-2007
Type :
jour
DOI :
10.1109/TCT.1959.1086594
Filename :
1086594
Link To Document :
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