Diagonal Flips of Triangulations on Closed Surfaces Preserving Specified Properties
Diagonal Flips of Triangulations on Closed Surfaces Preserving Specified Properties
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闭合曲面上三角剖分的对角翻转保留指定属性
DOI：
10.1006/jctb.1996.0070
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
Seiya Negami
中科院分区：
文献类型：
--
作者：
Richard Brunet;Atsuhiro Nakamoto;Seiya Negami
考虑闭曲面F2上的一类P三角剖分，该曲面在顶点分裂下是闭的。我们将证明，任何两个三角剖分具有相同的和足够大的数目的顶点属于P可以相互转换，直到同胚，通过一个有限序列的对角翻转通过P。此外，如果P是封闭的同胚，那么条件“直到同胚”可以替换为“直到合痕”。
Consider a class P of triangulations on a closed surfaceF2, closed under vertex splitting. We shall show that any two triangulations with the same and sufficiently large number of vertices which belong to P can be transformed into each other, up to homeomorphism, by a finite sequence of diagonal flips through P. Moreover, if P is closed under homeomorphism, then the condition “up to homeomorphism” can be replaced with “up to isotopy.”
DOI：
10.1017/s030500410003824x
发表时间：
1964-10
影响因子：
0.8
作者：
W. Lickorish
通讯作者：
W. Lickorish