DocumentCode :
1180807
Title :
Wang algebra and matroids
Author :
Duffin, Richard J. ; Morley, T.D.
Volume :
25
Issue :
9
fYear :
1978
fDate :
9/1/1978 12:00:00 AM
Firstpage :
755
Lastpage :
762
Abstract :
Wang algebra is defined by three rules: i) 
; ii) 
and iii) 
. K. T. Wang showed that these rules give a shortcut method for finding the joint resistance (or driving point resistance) of an electrical network. However, there are electrical systems more general than the Kirchhoff network. For these systems regular matroids replace networks. It is shown in this paper that Wang algebra is an excellent tool to develop properties of networks. Moreover the Wang shortcut method can still be used to find the joint resistance of an electrical network.
; ii) and iii) . K. T. Wang showed that these rules give a shortcut method for finding the joint resistance (or driving point resistance) of an electrical network. However, there are electrical systems more general than the Kirchhoff network. For these systems regular matroids replace networks. It is shown in this paper that Wang algebra is an excellent tool to develop properties of networks. Moreover the Wang shortcut method can still be used to find the joint resistance of an electrical network.Keywords :
Algebra; Algebraic and geometric techniques; Graph theory; Network topology; Resistive networks; Algebra; Computer networks; Electric resistance; Equations; Mathematics; Polynomials; Resistors; Transfer functions; Vectors; Voltage;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1978.1084531
Filename :
1084531
Link To Document :
