On r-stacked triangulated manifolds

Satoshi Murai; Eran Nevo

On r-stacked triangulated manifolds

Satoshi Murai, Eran Nevo

Research output: Contribution to journal › Conference 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 their 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)	181-192
Number of pages	12
Journal	Discrete Mathematics and Theoretical Computer Science
State	Published - 2013
Externally published	Yes
Event	25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 - Paris, France Duration: 24 Jun 2013 → 28 Jun 2013

Keywords

F-vector
Face ring
Manifold
Stackedness
Triangulation

Cite this

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author = "Satoshi Murai and Eran Nevo",

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journal = "Discrete Mathematics and Theoretical Computer Science",

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AU - Nevo, Eran

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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 their 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 - Manifold

KW - Stackedness

KW - Triangulation

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SN - 1462-7264

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T2 - 25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013

Y2 - 24 June 2013 through 28 June 2013

ER -

On r-stacked triangulated manifolds

Abstract

Keywords

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