Some Theorems on the Structures of Unspecialized Nonintersecting Connecting Systems

Theorems on the properties of symmetric matrices describing establishment of connections in unspecialized nonintersecting connecting systems are formulated and proved. These theorems are used to describe two classes of unspecialized nonintersecting connecting systems: a truncated Clos circuit and a circuit with loop-connected inputs and outputs. It is shown that the loop-connected circuit is better for nonintersecting switching.