2 papers
math.CO2017
The pinnacle set of a permutation
Robert Davis, Sarah A. Nelson, T. Kyle Petersen +1
The peak set of a permutation records the indices of its peaks. These sets have been studied in a variety of contexts, including recent work by Billey, Burdzy, and Sagan, which enu…
math.MG2015
Distortion of embeddings of binary trees into diamond graphs
Siu Lam Leung, Sarah Nelson, Sofiya Ostrovska +1
Diamond graphs and binary trees are important examples in the theory of metric embeddings and also in the theory of metric characterizations of Banach spaces. Some results for thes…