Many neighborly spheres

Research output: Contribution to journalJournal articleResearchpeer-review


  • Fulltext

    Submitted manuscript, 194 KB, PDF document

  • Isabella Novik
  • Hailun Zheng

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 languageEnglish
JournalMathematische Annalen
Pages (from-to)969–984
Publication statusPublished - 2024

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

ID: 330841422