All minimal clones generated by {0,1}-valued majority operations on a five-element set

Abstract

Based on a computer search we identify all majority operations on {0, 1, 2, 3, 4} with values in {0, 1} on the injective triples that generate a minimal clone. We classify these functions up to an equivalence extending conjugacy (isomorphism) and count the number of majority operations in the generated clones.