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

Department of Mathematics

Ben-Gurion University of the Negev

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

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	American 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 - 1 Mar 2014

Keywords

Face vectors
Simplicial complexes
Triangulations of manifolds

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.1007/s10801-013-0451-z

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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.",

keywords = "Face vectors, Simplicial complexes, Triangulations of manifolds",

author = "Satoshi Murai and Eran Nevo",

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.",

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Y1 - 2014/3/1

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.

AB - 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 - Simplicial complexes

KW - Triangulations of manifolds

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JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 2

ER -

On r-stacked triangulated manifolds

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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