3 papers
q-bio.QM2020
GraphKKE: Graph Kernel Koopman Embedding for Human Microbiome Analysis
Kateryna Melnyk, Stefan Klus, Grégoire Montavon +1
More and more diseases have been found to be strongly correlated with disturbances in the microbiome constitution, e.g., obesity, diabetes, or some cancer types. Thanks to modern h…
math.GR2019
The semigroup of star partial homeomorphisms of a finite deminsional Euclidean space
Oleg Gutik, Kateryna Melnyk
In the paper the notion of a star partial homeomorphism of a finite dimensional Euclidean space is introduced. We describe the structure of the semigroup $\mathbf{PS…
math.GR2019
The semigroup of monotone co-finite partial homeomorphisms of the real line
Oleg Gutik, Kateryna Melnyk
In the paper we investigate the semigroup of monotone co-finite partial homeomorphisms of the space of the usual real line . We prove that the inverse semigroup $\maths…