(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 (n + 2) -node resistive n-port network are established. The properties of networks of departure and padding n -port networks are used to arrive at these results. It is shown that any (n x n) real symmetric matrix realizable by an (n + 1) -node n -port network can also be realized by an (n + 2) -node n -port network containing at most n(n + 1)/2 conductances if all the zero conductances of the corresponding (n + 1) - node realization N , form part of a fundamental cut-set in N with respect to the port tree of N .