On r-stacked triangulated manifolds

Satoshi Murai, Eran Nevo

Research output: Contribution to journalArticle

11 Citations (Scopus)

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 languageEnglish
Pages (from-to)373-388
Number of pages16
JournalJournal of Algebraic Combinatorics
Volume39
Issue number2
DOIs
Publication statusPublished - 2014 Mar 1
Externally publishedYes

Fingerprint

Polytopes
Homology
Face
Necessary Conditions
Vertex of a graph
Generalization

Keywords

  • Face vectors
  • Simplicial complexes
  • Triangulations of manifolds

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics

Cite this

On r-stacked triangulated manifolds. / Murai, Satoshi; Nevo, Eran.

In: Journal of Algebraic Combinatorics, Vol. 39, No. 2, 01.03.2014, p. 373-388.

Research output: Contribution to journalArticle

Murai, Satoshi ; Nevo, Eran. / On r-stacked triangulated manifolds. In: Journal of Algebraic Combinatorics. 2014 ; Vol. 39, No. 2. pp. 373-388.
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