2 papers
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 introduced in 1990 by Y. Colin de Verdière. This parameter is defined as t…
math.DG2024
A generalization of Clairaut's formula and its applications
Vadym Koval
The main purpose of this article is to study conditions for a curve on a submanifold , constructed in a particular way involving the Euclidean distance to …