Abstract

After the graph structures of self-dual nonsingular (i.e. one-to-one) transformations of {0,1} n are described, a construction method of generating minimal nonsingular threshold transformations from lower-dimensional ones is presented. Theorems which concern nonsingular threshold transformations and support that procedure are also proved. Then, in addition to circular, nonsingular transformations in the author's previous paper, five classes of noncircular, nonsingular threshold transformations are given with their graph structures.

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