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math.CO2026
Chromatic numbers, Buchstaber numbers and chordality of Bier spheres
Ivan Limonchenko, AleÅ¡ VavpetiÄ
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.CO2026
On the combinatorics of Murai spheres and its applications
Ivan Limonchenko, AleÅ¡ VavpetiÄ
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…