... while the remainingvalues form a decreasing chain; in σθ, however, the increasing chain is the longest cyclicincreasing chain, that is, the longest possible increasing chain (starting at position ... functions, in the following scenarios:1. linear orders on the domain and the codomain—this gives classical permutationavoidance;2. a cyclic order on the domain and a linear order on the codomain in ... add the next label to the left of the string;• label the T’s of the string, starting with the next label at the leftmost T ,movingto the right and increasing with one at each successive B.The...