Pure Crossovers: definition, their relation to Geiringer's theorem for finite populations and practical value

Authors

Abstract

Motivated by a practical interpretation of the Geiringer's theorem, we define the class of `Pure Crossovers' independently of the solution representation used and explain why they are important for both theorists and practitioners. We then give a geometric characterization of this class of operators and prove some general properties common to all pure crossovers.