Admissible Pinnacle Orderings

A pinnacle of a permutation is value that larger than its immediate neighbors when written in one-line notation. In this paper, we build on previous work characterized admissible sets permutations. For these sets, there can be specific orderings the pinnacles are not admissible, meaning they realized by any permutation. Here characterize orderings, using relationship between x and rank set to bound number times less or equal interrupted values.