On r-stacked triangulated manifolds

Satoshi Murai; Eran Nevo

doi:10.1007/s10801-013-0451-z

On r-stacked triangulated manifolds

Satoshi Murai^*
, Eran Nevo

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 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 language	English
Pages (from-to)	373-388
Number of pages	16
Journal	Journal of Algebraic Combinatorics
Volume	39
Issue number	2
DOIs	https://doi.org/10.1007/s10801-013-0451-z
State	Published - Mar 2014
Externally published	Yes

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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10.1007/s10801-013-0451-z

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N2 - 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.

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KW - Face vectors

KW - Simplicial complexes

KW - Triangulations of manifolds

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On r-stacked triangulated manifolds

Abstract

Bibliographical note

Keywords

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