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 language English 373-388 16 Journal of Algebraic Combinatorics 39 2 https://doi.org/10.1007/s10801-013-0451-z Published - 2014 Mar 1 Yes

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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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