On the Synthesis of Oriented Communication Nets

The n-station communication net, when used as a channel in a larger net, can be used in
n^{2} - n
different ways. These ways are considered in an interesting series of papers concerning the relations among the
n^{2}- n
utilizations. The present paper continues the series by completely solving this terminal capacity realizability problem in the domain of generalized nets which admit negative channel capacities. The procedure is then to attack the problem of equivalence between (generalized) nets and communication nets. Although the equivalence theory developed here is not yet complete, the present work shows it to be a promising avenue for further exploration; and the incomplete theory itself has already produced one important new result in the theory of communication nets proper: a necessary and sufficient realizability condition for terminal capacity specifications which demand the maximum possible number of distinct terminal capacities.