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Admissible Pinnacle Orderings by Rusu, Irena; Tenner, Bridget Eileen is a scholarly article available to read on EtoBox.

What is Admissible Pinnacle Orderings about?

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

Author

Rusu, Irena; Tenner, Bridget Eileen

Published

2020

Language

EN