DocumentCode
1170237
Title
Characterizations of complete directed trees and two-trees
Author
Chen, Wai-Kai
Volume
19
Issue
3
fYear
1972
fDate
5/1/1972 12:00:00 AM
Firstpage
241
Lastpage
247
Abstract
This paper presents necessary and sufficient conditions for a directed tree in the associated directed graph of a general network to be nonredundant. Based on these characterizations, new topological formulas for general network functions are presented that will not result in cancellations due to duplications. The relationships between the complete directed trees and two-trees and the complete trees and two-trees of the voltage and the current graphs of the Coates-Mayeda formulation are also discussed. An illustrative example is given.
Keywords
Network topology; Trees; Admittance; Books; Capacitors; Coupling circuits; Resistors; Sufficient conditions; Transfer functions; Transformers; Tree graphs; Voltage;
fLanguage
English
Journal_Title
Circuit Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9324
Type
jour
DOI
10.1109/TCT.1972.1083457
Filename
1083457
Link To Document