Computing the Partial Word Avoidability Indices of Ternary Patterns

We study pattern avoidance in the context of partial words. The problem of classifying the avoidable unary patterns has been solved, so we move on to binary, ternary, and more general patterns. Our results, which are based on morphisms (iterated or not), determine all the ternary patterns’ avoidability indices or at least give bounds for them.