Incremental construction properties in dimension two-shellability, extendable shellability and vertex decomposability

Sonoko Moriyama; Fumihiko Takeuchi

doi:10.1016/S0012-365X(02)00771-9

Incremental construction properties in dimension two-shellability, extendable shellability and vertex decomposability

Sonoko Moriyama, Fumihiko Takeuchi

INF - System Information Sciences

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

7 Citations (Scopus)

Abstract

We give new examples of shellable, but not extendably shellable two-dimensional simplicial complexes. They include minimal examples that are smaller than those previously known. We also give new examples of shellable, but not vertex decomposable two-dimensional simplicial complexes, including extendably shellable ones. This shows that neither extendable shellability nor vertex decomposability implies the other. We found these examples by enumerating shellable two-dimensional simplicial complexes that are not pseudomanifolds.

Original language	English
Pages (from-to)	295-296
Number of pages	2
Journal	Discrete Mathematics
Volume	263
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(02)00771-9
Publication status	Published - 2003 Feb 28

Keywords

Combinatorial topology
Enumeration
Extendable shellability
Incremental construction
Shellability
Vertex decomposability

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Access to Document

10.1016/S0012-365X(02)00771-9

Fingerprint Dive into the research topics of 'Incremental construction properties in dimension two-shellability, extendable shellability and vertex decomposability'. Together they form a unique fingerprint.

Cite this

@article{9d7b513a0558408aa30af7c594b99976,

title = "Incremental construction properties in dimension two-shellability, extendable shellability and vertex decomposability",

abstract = "We give new examples of shellable, but not extendably shellable two-dimensional simplicial complexes. They include minimal examples that are smaller than those previously known. We also give new examples of shellable, but not vertex decomposable two-dimensional simplicial complexes, including extendably shellable ones. This shows that neither extendable shellability nor vertex decomposability implies the other. We found these examples by enumerating shellable two-dimensional simplicial complexes that are not pseudomanifolds.",

keywords = "Combinatorial topology, Enumeration, Extendable shellability, Incremental construction, Shellability, Vertex decomposability",

author = "Sonoko Moriyama and Fumihiko Takeuchi",

year = "2003",

month = feb,

day = "28",

doi = "10.1016/S0012-365X(02)00771-9",

language = "English",

volume = "263",

pages = "295--296",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier",

number = "1-3",

}

TY - JOUR

T1 - Incremental construction properties in dimension two-shellability, extendable shellability and vertex decomposability

AU - Moriyama, Sonoko

AU - Takeuchi, Fumihiko

PY - 2003/2/28

Y1 - 2003/2/28

N2 - We give new examples of shellable, but not extendably shellable two-dimensional simplicial complexes. They include minimal examples that are smaller than those previously known. We also give new examples of shellable, but not vertex decomposable two-dimensional simplicial complexes, including extendably shellable ones. This shows that neither extendable shellability nor vertex decomposability implies the other. We found these examples by enumerating shellable two-dimensional simplicial complexes that are not pseudomanifolds.

AB - We give new examples of shellable, but not extendably shellable two-dimensional simplicial complexes. They include minimal examples that are smaller than those previously known. We also give new examples of shellable, but not vertex decomposable two-dimensional simplicial complexes, including extendably shellable ones. This shows that neither extendable shellability nor vertex decomposability implies the other. We found these examples by enumerating shellable two-dimensional simplicial complexes that are not pseudomanifolds.

KW - Combinatorial topology

KW - Enumeration

KW - Extendable shellability

KW - Incremental construction

KW - Shellability

KW - Vertex decomposability

UR - http://www.scopus.com/inward/record.url?scp=84867924321&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867924321&partnerID=8YFLogxK

U2 - 10.1016/S0012-365X(02)00771-9

DO - 10.1016/S0012-365X(02)00771-9

M3 - Article

AN - SCOPUS:84867924321

VL - 263

SP - 295

EP - 296

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

IS - 1-3

ER -