Graphs in the 3-Sphere with Maximum Symmetry

Chao Wang; Shicheng Wang; Yimu Zhang; Bruno Zimmermann

doi:10.1007/s00454-017-9952-1

Graphs in the 3-Sphere with Maximum Symmetry

Chao Wang
, Shicheng Wang^*
, Yimu Zhang
, Bruno Zimmermann

^*此作品的通讯作者

University of Science and Technology of China
School of Mathematical Sciences
Jilin University
University of Trieste

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

We consider the orientation-preserving actions of finite groups G on pairs (S³, Γ) , where Γ is a connected graph of genus g> 1 , embedded in S³. For each g we give the maximum order m_g of such G acting on (S³, Γ) for all such Γ ⊂ S³. Indeed we will classify all graphs Γ ⊂ S³ which realize these m_g in different levels: as abstract graphs and as spatial graphs, as well as their group actions. Such maximum orders without the condition “orientation-preserving” are also addressed.

源语言	英语
页（从-至）	331-362
页数	32
期刊	Discrete and Computational Geometry
卷	59
期	2
DOI	https://doi.org/10.1007/s00454-017-9952-1
出版状态	已出版 - 1 3月 2018
已对外发布	是

访问文件

10.1007/s00454-017-9952-1

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{6661527f577548f7bfc3520787d7c1c7,

title = "Graphs in the 3-Sphere with Maximum Symmetry",

abstract = "We consider the orientation-preserving actions of finite groups G on pairs (S3, Γ) , where Γ is a connected graph of genus g> 1 , embedded in S3. For each g we give the maximum order mg of such G acting on (S3, Γ) for all such Γ ⊂ S3. Indeed we will classify all graphs Γ ⊂ S3 which realize these mg in different levels: as abstract graphs and as spatial graphs, as well as their group actions. Such maximum orders without the condition “orientation-preserving” are also addressed.",

keywords = "Extendable action, Symmetry of 3-sphere, Symmetry of graph",

author = "Chao Wang and Shicheng Wang and Yimu Zhang and Bruno Zimmermann",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media, LLC.",

year = "2018",

month = mar,

day = "1",

doi = "10.1007/s00454-017-9952-1",

language = "英语",

volume = "59",

pages = "331--362",

journal = "Discrete and Computational Geometry",

issn = "0179-5376",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Graphs in the 3-Sphere with Maximum Symmetry

AU - Wang, Chao

AU - Wang, Shicheng

AU - Zhang, Yimu

AU - Zimmermann, Bruno

PY - 2018/3/1

Y1 - 2018/3/1

N2 - We consider the orientation-preserving actions of finite groups G on pairs (S3, Γ) , where Γ is a connected graph of genus g> 1 , embedded in S3. For each g we give the maximum order mg of such G acting on (S3, Γ) for all such Γ ⊂ S3. Indeed we will classify all graphs Γ ⊂ S3 which realize these mg in different levels: as abstract graphs and as spatial graphs, as well as their group actions. Such maximum orders without the condition “orientation-preserving” are also addressed.

AB - We consider the orientation-preserving actions of finite groups G on pairs (S3, Γ) , where Γ is a connected graph of genus g> 1 , embedded in S3. For each g we give the maximum order mg of such G acting on (S3, Γ) for all such Γ ⊂ S3. Indeed we will classify all graphs Γ ⊂ S3 which realize these mg in different levels: as abstract graphs and as spatial graphs, as well as their group actions. Such maximum orders without the condition “orientation-preserving” are also addressed.

KW - Extendable action

KW - Symmetry of 3-sphere

KW - Symmetry of graph

UR - https://www.scopus.com/pages/publications/85038364318

U2 - 10.1007/s00454-017-9952-1

DO - 10.1007/s00454-017-9952-1

M3 - 文章

AN - SCOPUS:85038364318

SN - 0179-5376

VL - 59

SP - 331

EP - 362

JO - Discrete and Computational Geometry

JF - Discrete and Computational Geometry

IS - 2

ER -

Graphs in the 3-Sphere with Maximum Symmetry

摘要

访问文件

其它文件与链接

指纹

引用此