(n+2)-node resistive n-port realizability of Y-matrices

Sufficient conditions for the realization of a real symmetric matrix as the short-circuit conductance matrix of an -node resistive n-port network are established. The properties of networks of departure and padding -port networks are used to arrive at these results. It is shown that any real symmetric matrix realizable by an -node -port network can also be realized by an -node -port network containing at most conductances if all the zero conductances of the corresponding - node realization , form part of a fundamental cut-set in N with respect to the port tree of .