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Intersection number and stability of some inscribable graphs
Liu, Jinsong1,2; Zhou, Ze1,3
2016-12-01
Source PublicationGEOMETRIAE DEDICATA
ISSN0046-5755
Volume185Issue:1Pages:105-121
AbstractA 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.
KeywordInscribable graph Stability Intersection number Circle pattern
DOI10.1007/s10711-016-0170-4
Language英语
Funding ProjectNSFC of China[11471318]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000387669100005
PublisherSPRINGER
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24106
Collection数学所
Affiliation1.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
Recommended Citation
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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