Intersection number and stability of some inscribable graphs

doi:10.1007/s10711-016-0170-4

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	Intersection number and stability of some inscribable graphs
	Liu, Jinsong1,2 ; Zhou, Ze 1,3
	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.