On r-stacked triangulated manifolds

Satoshi Murai; Eran Nevo

On r-stacked triangulated manifolds

Satoshi Murai, Eran Nevo

Department of Mathematics

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 - 18 Nov 2013
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

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science
Discrete Mathematics and Combinatorics

Cite this

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title = "On r-stacked triangulated manifolds",

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.",

keywords = "F-vector, Face ring, Manifold, Stackedness, Triangulation",

author = "Satoshi Murai and Eran Nevo",

year = "2013",

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day = "18",

language = "English",

pages = "181--192",

journal = "Discrete Mathematics and Theoretical Computer Science",

issn = "1462-7264",

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note = "25th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2013 ; Conference date: 24-06-2013 Through 28-06-2013",

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T1 - On r-stacked triangulated manifolds

AU - Murai, Satoshi

AU - Nevo, Eran

PY - 2013/11/18

Y1 - 2013/11/18

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 their 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 their basic properties. In addition, we find a new necessary condition for face vectors of triangulated manifolds when all the vertex links are polytopal.

KW - F-vector

KW - Face ring

KW - Manifold

KW - Stackedness

KW - Triangulation

UR - https://www.scopus.com/pages/publications/84887498459

M3 - Conference article

AN - SCOPUS:84887498459

SN - 1462-7264

SP - 181

EP - 192

JO - Discrete Mathematics and Theoretical Computer Science

JF - Discrete Mathematics and Theoretical Computer Science

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

ASJC Scopus subject areas

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