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math.FA2023
Order Relations of the Wasserstein mean and the spectral geometric mean
Luyining Gan, Huajun Huang
On the space of positive definite matrices, several operator means are popular and have been studied extensively. In this paper, we investigate the near order and the Löwner order…
math.CO2023
A parameterized algorithm for -factors in graphs of high minimum degree
Luyining Gan, Jie Han, Jie Hu
A -factor of a graph is a collection of vertex-disjoint -cliques covering . We prove the following algorithmic version of the classical Hajnal--Szemerédi Theorem…
math.FA2023
Weak log-majorization between the geometric and Wasserstein means
Luyining Gan, Sejong Kim
There exist lots of distinct geometric means on the cone of positive definite Hermitian matrices such as the metric geometric mean, spectral geometric mean, log-Euclidean mean and…