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math.CO2026
Neighborly Murai spheres and the Simplicial Steinitz Problem
Ivan Limonchenko, Aleš Vavpetič
We provide a classification of neighborly Murai spheres, which implies that all of them are polytopal. Furthermore, we show that each neighborly -sphere with no more than …
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…