3 papers
math.CO2026
On the combinatorics of Murai spheres and its applications
Ivan Limonchenko, Aleš Vavpetič
We classify the combinatorial types of Murai spheres in dimensions and , thereby showing that the corresponding convex simple polytopes have Delzant realizations. Then we de…
math.CO2024
Chromatic numbers, Buchstaber numbers and chordality of Bier spheres
Ivan Limonchenko, Aleš Vavpetič
We describe all the Bier spheres of dimension with chromatic number equal to and prove that all other -dimensional Bier spheres have chromatic number equal to , f…
math.NA2019
Optimal parametric interpolants of circular arcs
Aleš Vavpetič
The aim of this paper is a construction of quartic parametric polynomial interpolants of a circular arc, where two boundary points of a circular arc are interpolated. For every uni…