Abstract
The result of Padrol (Discret Comput Geom 50(4):865–902, 2013) asserts that for every d≥ 4 , there exist 2 Ω(nlogn) distinct combinatorial types of ⌊ d/ 2 ⌋ -neighborly simplicial (d- 1) -spheres with n vertices. We present a construction showing that for every d≥ 5 , there are at least 2Ω(n⌊(d-1)/2⌋) such types.
| Original language | English |
|---|---|
| Journal | Mathematische Annalen |
| Volume | 388 |
| Pages (from-to) | 969–984 |
| ISSN | 0025-5831 |
| DOIs | |
| Publication status | Published - 2024 |
Bibliographical note
Publisher Copyright:© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.