In this paper, it will be shown that any two bipartite quadrangulations of any closed surface are transformed into each other by two kinds of transformations, called the diagonal slide and the diagonal rotation, up to homeomorphism, if they have the same and sufficiently large number of vertices.
Diagonal Transformations and Cycle Parities of Quadrangulations on Surfaces
β Scribed by Atsuhiro Nakamoto
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 255 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0095-8956
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β¦ Synopsis
In this paper, we shall show that any two quadrangulations on any closed surface can be transformed into each other by diagonal slides and diagonal rotations if they have the same and sufficiently large number of vertices and if the homological properties of both quadrangulations coincide.
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