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arXiv · 2606.02513

Neighborly Murai spheres and the Simplicial Steinitz Problem

Ivan Limonchenko·Aleš Vavpetič
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Abstract

We provide a classification of neighborly Murai spheres, which implies that all of them are polytopal. Furthermore, we show that each neighborly $d$-sphere with no more than $d+4$ vertices is combinatorially equivalent to a Murai sphere for any $d\geq 1$.

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Ivan Limonchenko, Aleš Vavpetič. 2026-06-01. Neighborly Murai spheres and the Simplicial Steinitz Problem. https://arxiv.org/abs/2606.02513

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