F-Vectors of Polyhedra

Min Yan

doi:10.1023/A:1004980508224

F-Vectors of Polyhedra

Min Yan^*

^*Corresponding author for this work

Department of Mathematics

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

Abstract

The f-vector of a triangulation of a polyhedron X is the numbers of simplices at various dimensions. We prove that the affine span of f-vectors of X has dimension (n + s + 1)/2, where n is the dimension of X, and s is the dimension of the part of X that is singular with respect to the local Euler characteristic.

Original language	English
Pages (from-to)	21-28
Number of pages	8
Journal	Geometriae Dedicata
Volume	68
Issue number	1
DOIs	https://doi.org/10.1023/A:1004980508224
Publication status	Published - 1997

Keywords

Affine span
Euler characteristic
F-vector
Link
Polyhedron

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10.1023/A:1004980508224

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title = "F-Vectors of Polyhedra",

abstract = "The f-vector of a triangulation of a polyhedron X is the numbers of simplices at various dimensions. We prove that the affine span of f-vectors of X has dimension (n + s + 1)/2, where n is the dimension of X, and s is the dimension of the part of X that is singular with respect to the local Euler characteristic.",

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author = "Min Yan",

year = "1997",

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language = "English",

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PY - 1997

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N2 - The f-vector of a triangulation of a polyhedron X is the numbers of simplices at various dimensions. We prove that the affine span of f-vectors of X has dimension (n + s + 1)/2, where n is the dimension of X, and s is the dimension of the part of X that is singular with respect to the local Euler characteristic.

AB - The f-vector of a triangulation of a polyhedron X is the numbers of simplices at various dimensions. We prove that the affine span of f-vectors of X has dimension (n + s + 1)/2, where n is the dimension of X, and s is the dimension of the part of X that is singular with respect to the local Euler characteristic.

KW - Affine span

KW - Euler characteristic

KW - F-vector

KW - Link

KW - Polyhedron

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:A1997YH13500002

UR - https://openalex.org/W202127234

UR - https://www.scopus.com/pages/publications/0042731400

U2 - 10.1023/A:1004980508224

DO - 10.1023/A:1004980508224

M3 - Journal Article

SN - 0046-5755

VL - 68

SP - 21

EP - 28

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

F-Vectors of Polyhedra

Abstract

Keywords

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