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Minimal quadrangulations of nonorientable surfaces

✍ Scribed by Nora Hartsfield; Gerhard Ringel


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
360 KB
Volume
50
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES


Diagonal transformations in quadrangulat
✍ Nakamoto, Atsuhiro πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 546 KB

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.

Chromatic numbers of quadrangulations on
✍ Dan Archdeacon; Joan Hutchinson; Atsuhiro Nakamoto; Seiya Negam; Katsuhiro Ota πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 138 KB

## 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

Diagonal Transformations and Cycle Parit
✍ Atsuhiro Nakamoto πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 255 KB

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.