Minimal quadrangulations of nonorientable surfaces
β Scribed by Nora Hartsfield; Gerhard Ringel
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 360 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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.
## Abstract It has been shown that every quadrangulation on any nonspherical orientable closed surface with a sufficiently large representativity has chromatic number at most 3. In this paper, we show that a quadrangulation __G__ on a nonorientable closed surface __N~k~__ has chromatic number at le
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.