Face two-colourable triangulations of $K_{13}$

Grannell, Mike; Griggs, Terry and Knor, M. (2003). Face two-colourable triangulations of $K_{13}$ . Journal of Combinatorial Mathematics and Combinatorial Computing, 47, pp. 75–81.

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Abstract

Face two-colourable triangular embeddings of complete graphs $K_n$ correspond to biembeddings of Steiner triple systems. Such embeddings exist only if $n$ is congruent to $1$ or $3$ modulo $6$ . In this paper we present the number of these embeddings for $n=13$ .

Item Type:	Journal Article
ISSN:	0835-3026
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	22778
Depositing User:	Mike Grannell
Date Deposited:	18 Aug 2010 12:34
Last Modified:	02 Dec 2010 21:02
URI:	http://oro.open.ac.uk/id/eprint/22778

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