Intersection number and stability of some inscribable graphs | |
Liu, Jinsong1,2; Zhou, Ze1,3 | |
2016-12-01 | |
发表期刊 | GEOMETRIAE DEDICATA |
ISSN | 0046-5755 |
卷号 | 185期号:1页码:105-121 |
摘要 | A planar graph is inscribable if it is combinatorial equivalent to the skeleton of an inscribed polyhedron in the unit sphere . Giving an inscribable graph, in its combinatorial equivalent class if we could also find a polyhedron inscribed in each convex surface sufficiently close to the unit sphere , then we call such an inscribable graph a stable one. By combining the Teichmuller theory of packings with differential topology method, in this paper we shall investigate the stability of some inscribable graphs. |
关键词 | Inscribable graph Stability Intersection number Circle pattern |
DOI | 10.1007/s10711-016-0170-4 |
语种 | 英语 |
资助项目 | NSFC of China[11471318] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000387669100005 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/24106 |
专题 | 数学所 |
通讯作者 | Liu, Jinsong |
作者单位 | 1.Chinese Acad Sci, Inst Math, AMSS, Beijing, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China 3.Hunan Univ, Coll Math & Econometr, Changsha, Hunan, Peoples R China |
推荐引用方式 GB/T 7714 | Liu, Jinsong,Zhou, Ze. Intersection number and stability of some inscribable graphs[J]. GEOMETRIAE DEDICATA,2016,185(1):105-121. |
APA | Liu, Jinsong,&Zhou, Ze.(2016).Intersection number and stability of some inscribable graphs.GEOMETRIAE DEDICATA,185(1),105-121. |
MLA | Liu, Jinsong,et al."Intersection number and stability of some inscribable graphs".GEOMETRIAE DEDICATA 185.1(2016):105-121. |
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