ON THE PERFECTNESS OF MINIMAL REGULAR PARTITIONS OF THE EDGE SET OF THE гг-DIMENSIONAL CUBE
We prove that, for n equal to 3, 5, and a power of 2, every minimal partition of the edge set of the n-dimensional cube is perfect. As a consequence, we obtain some description of the classes of all minimal parallel-serial contact schemes (тт-schemes) realizing the linear Boolean functions that depend essentially on n variables for the corresponding values of n. Bibliogr. 16.