On r-stacked triangulated manifolds

Satoshi Murai*, Eran Nevo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

The notion of r-stackedness for simplicial polytopes was introduced by McMullen and Walkup in 1971 as a generalization of stacked polytopes. In this paper, we define the r-stackedness for triangulated homology manifolds and study its basic properties. In addition, we find a new necessary condition for face vectors of triangulated manifolds when all the vertex links are polytopal.

Original languageAmerican English
Pages (from-to)373-388
Number of pages16
JournalJournal of Algebraic Combinatorics
Volume39
Issue number2
DOIs
StatePublished - Mar 2014
Externally publishedYes

Bibliographical note

Funding Information:
Acknowledgements Research of Satoshi Murai was partially supported by KAKENHI 22740018. Research of Eran Nevo was partially supported by Marie Curie grant IRG-270923 and by ISF grant.

Keywords

  • Face vectors
  • Simplicial complexes
  • Triangulations of manifolds

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