๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Chromatic Numbers and Cycle Parities of Quadrangulations on Nonorientable Closed Surfaces

โœ Scribed by Atsuhiro Nakamoto; Seiya Negami; Katsuhiro Ota


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
543 KB
Volume
11
Category
Article
ISSN
1571-0653

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Chromatic numbers of quadrangulations on
โœ Dan Archdeacon; Joan Hutchinson; Atsuhiro Nakamoto; Seiya Negam; Katsuhiro Ota ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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
โœ Atsuhiro Nakamoto ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.