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Small surface trades in triangular embeddings

Bennett, G. K.; Grannell, M. J.; Griggs, T. S. and Siran, J. (2006). Small surface trades in triangular embeddings. Discrete Mathematics, 306(21) pp. 2637–2646.

DOI (Digital Object Identifier) Link: http://doi.org/10.1016/j.disc.2006.04.027
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Abstract

We enumerate all possible trades which involve up to six faces of the face set of a triangular embedding of a simple connected graph. These are classified by the underlying combinatorial trade on the associated block design, and by the geometrical arrangement of the faces necessary to avoid creation of a pseudosurface in the trading operation. The relationship of each of these trades to surface orientability is also established.

Item Type: Journal Article
ISSN: 0012-365X
Keywords: Topological embedding; Trade; Twofold triple system
Academic Unit/Department: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 8071
Depositing User: Jozef Širáň
Date Deposited: 14 Jun 2007
Last Modified: 04 Oct 2016 10:01
URI: http://oro.open.ac.uk/id/eprint/8071
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