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Diagonal Flips in Triangulations on Closed Surfaces with Minimum Degree at Least 4

✍ Scribed by Hideo Komuro; Atsuhiro Nakamoto; Seiya Negami


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
365 KB
Volume
76
Category
Article
ISSN
0095-8956

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✦ Synopsis


It will be shown that any two triangulations on a closed surface, except the sphere, with minimum degree at least 4 can be transformed into each other by a finite sequence of diagonal flips through those triangulations if they have a sufficiently large and same number of vertices. The same fact holds for the sphere if they are not equivalent to a double wheel C n +K 2 .