3 papers
math.MG2026
Extending Bilipschitz Mappings between Separated Nets
Michael Dymond, VojtÄch Kaluža, 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.MG2026
Planar Bilipschitz Extension from Separated Nets
Michael Dymond, VojtÄch Kaluža, Vojtěch Kaluža
We prove that every -bilipschitz mapping can be extended to a -bilipschitz mapping and provide a polynomial upp…
math.CO2024
Three observations on the Colin de Verdière spectral graph parameter
VojtÄch Kaluža, Vadym Koval
In this small note, we collect several observations pertaining to the famous spectral graph parameter introduced in 1990 by Y. Colin de Verdière. This parameter is defined as…