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

Access to Document

10.1007/s10801-013-0451-z

Cite this

@article{cc0afbb39e4044fc99a7a1d8c7bd9041,

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 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.",

year = "2014",

month = mar,

doi = "10.1007/s10801-013-0451-z",

language = "אנגלית",

volume = "39",

pages = "373--388",

journal = "Journal of Algebraic Combinatorics",

issn = "0925-9899",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - On r-stacked triangulated manifolds

AU - Murai, Satoshi

AU - Nevo, Eran

N1 - 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.

PY - 2014/3

Y1 - 2014/3

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.

KW - Face vectors

KW - Simplicial complexes

KW - Triangulations of manifolds

UR - http://www.scopus.com/inward/record.url?scp=84893848461&partnerID=8YFLogxK

U2 - 10.1007/s10801-013-0451-z

DO - 10.1007/s10801-013-0451-z

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84893848461

SN - 0925-9899

VL - 39

SP - 373

EP - 388

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 2

ER -

On r-stacked triangulated manifolds

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this