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Planar triangulations which quadrangulate other surfaces

Nakamoto, A.; Negami, S.; Ota, K. and Siran, J. (2004). Planar triangulations which quadrangulate other surfaces. European Journal of Combinatorics, 25(6) pp. 817–833.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1016/j.ejc.2003.05.003
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Abstract

We shall show that for any closed surface F2 except the sphere, there is a triangulation on the sphere which can be embedded on F2 as a quadrangulation, and characterize those 5-connected triangulations on the sphere that quadrangulate other closed surfaces, discussing double 4-cycle covers of triangulations.

Item Type: Journal Article
ISSN: 0195-6698
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 8086
Depositing User: Jozef Širáň
Date Deposited: 14 Jun 2007
Last Modified: 02 Dec 2010 20:00
URI: http://oro.open.ac.uk/id/eprint/8086
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