Title :
On matrices and composite graphs of active networks
fDate :
9/1/1972 12:00:00 AM
Abstract :
It is shown that a square submatrix of a modified incidence matrix of a composite graph is a major submatrix over the field of integers modulo 2 if and only if the columns of this submatrix correspond to the edges of a certain spanning subgraph. Based on this result, it is shown how the directed trees of the composite graph can be generated by a technique proposed in the literature.
Keywords :
Active networks; Network topology; Trees; Admittance; Circuit theory; Large scale integration; Semiconductor optical amplifiers; Transfer functions; Tree graphs; Wiring;
Journal_Title :
Circuit Theory, IEEE Transactions on
DOI :
10.1109/TCT.1972.1083539
