3 papers
math.ST2026
Bergsma--Dassios Sign Covariance Characterises Independence for Arbitrary Real-Valued Bivariate Laws
Stefan Grünewald, Libo Huang
Bergsma--Dassios sign covariance is a rank-based population measure of dependence. Building on zero-characterisation results under specific regularity regimes, we prove that…
math.CO2026
On the maximum size of 2-weakly compatible split systems
Pei Wu, Stefan Grünewald
We consider a Turán-type problem arising in phylogenetics: determining the maximum size of a 2-weakly compatible split system. This compatibility condition arises in the reconstruc…
math.CO2017
Combinatorial properties of triplet covers for binary trees
Stefan Gruenewald, Katharina T. Huber, Vincent Moulton +1
It is a classical result that an unrooted tree having positive real-valued edge lengths and no vertices of degree two can be reconstructed from the induced distance between eac…