Maximal P-simple Sets on (8,4) Pictures

摘要

Bertrand proposed the notion of a P-simple set for constructing topology-preserving reductions. In this paper, we define the maximalness of a P-simple set, give a new sufficient condition for topology-preserving reductions acting on (8,4) pictures on the square grid, and it is proved that this condition designates a maximal P-simple set.