Title :
Iteration Properties of Multivalued Switching Functions
Author :
Reischer, Corina ; Simovici, Dan A.
Author_Institution :
Department of Mathematics and Computer Science, University of Massachusetts
Abstract :
The purpose of this correspondence is to survey the literature concerning the iterative properties of multivalued switching functions. These properties are important for the synthesis of switching circuits by cascades of simpler elements. Our presentation evolves around the graphs of transformations of finite sets. We discuss such topics as limitations of the computational capabilities of cascades, the existence of roots of given functions with respect to iteration powers, etc.
Keywords :
Cascades of circuits; graph of a transformation of a rmite set; permanent of a matrix; root of an n-valued switching function; spectrum of a transformation; Circuit synthesis; Combinatorial mathematics; Computer science; Councils; Equations; Graph theory; Orbits; Switching circuits; Tree graphs; Wire; Cascades of circuits; graph of a transformation of a rmite set; permanent of a matrix; root of an n-valued switching function; spectrum of a transformation;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1986.1676737
