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
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