DocumentCode :
1168630
Title :
Graph theoretical properties of the node determinant of an LCR network
Author :
Kajitani, Yoji
Volume :
18
Issue :
3
fYear :
1971
fDate :
5/1/1971 12:00:00 AM
Firstpage :
343
Lastpage :
350
Abstract :
The node determinant 
of an 
network is given by the sum of the products of the element admittances of all the trees of the network. Some graph theoretical properties of the coefficients 
are investigated where each 
is represented as a function of the element values. The main results include the theorem that any three successive coefficients 
, and 
completely determine the network.
of an network is given by the sum of the products of the element admittances of all the trees of the network. Some graph theoretical properties of the coefficients are investigated where each is represented as a function of the element values. The main results include the theorem that any three successive coefficients , and completely determine the network.Keywords :
Network topology; Admittance; Artificial intelligence; Capacitors; Conductors; Frequency; Helium; Inductors; Network theory (graphs); Network topology; Tree graphs;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1971.1083291
Filename :
1083291
Link To Document :
