Vojtěch Kaluža

collaborators

3 papers

math.MG2025

Extending Bilipschitz Mappings between Separated Nets

Michael Dymond, Vojtěch Kaluža

We provide a new characterisation of the decades old open problem of extending bilipschitz mappings given on a Euclidean separated net. In particular, this allows for the complete…

math.CO2024

Three observations on the Colin de Verdière spectral graph parameter

Vojtěch Kaluža, Vadym Koval

In this small note, we collect several observations pertaining to the famous spectral graph parameter $μ$ introduced in 1990 by Y. Colin de Verdière. This parameter is defined as t…

math.MG2024

Planar Bilipschitz Extension from Separated Nets

Michael Dymond, Vojtěch Kaluža

We prove that every $L$ -bilipschitz mapping $Z^{2} \to R^{2}$ can be extended to a $C (L)$ -bilipschitz mapping $R^{2} \to R^{2}$ and provide a polynomial upp…