2 papers
math.CO2023
Bounding mean orders of sub--trees of -trees
Stijn Cambie, Bradley McCoy, Stephan Wagner +1
For a -tree , we prove that the maximum local mean order is attained in a -clique of degree and that it is not more than twice the global mean order. We also bound the…
math.CO2019
Properties for the Frechet Mean in Billera-Holmes-Vogtmann Treespace
Maria Anaya, Olga Anipchenko-Ulaj, Aisha Ashfaq +9
The Billera-Holmes-Vogtmann (BHV) space of weighted trees can be embedded in Euclidean space, but the extrinsic Euclidean mean often lies outside of treespace. Sturm showed that th…