✦ LIBER ✦

On topological approaches to network theory

✍ Scribed by Y.H. Ku; S.D. Bedrosian

Publisher: Elsevier Science
Year: 1965
Tongue: English
Weight: 586 KB
Volume: 279
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(65)90229-2

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✦ Synopsis

This paper covers network applications of topology, in particular linear graph theory. The ~rst part is a review of developments, starting from Kirchhoff and Maxwell, this leads to the second part in which are presented signi~cant new results. The key items are: new techniques for treating active networks, generalization and extension of Wang algebra, and applications of linear graphs to multilevel maser analysis. A method for generation of explicit formulas for the number of trees in an undirected graph is illustrated. A new theorem is proved for such formulas when the graphs have uniform branch multiplicity. Examples of this concept are included.

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