Cyclic Biembeddings of Twofold Triple Systems

被引:0
|
作者
Diane M. Donovan
Terry S. Griggs
James G. Lefevre
Thomas A. McCourt
机构
[1] University of Queensland,Centre for Discrete Mathematics and Computing
[2] The Open University,Department of Mathematics and Statistics
[3] University of Bristol,Heilbronn Institute for Mathematical Research, School of Mathematics
[4] University Walk,undefined
来源
Annals of Combinatorics | 2014年 / 18卷
关键词
biembedding; orientable surface; twofold triple system; 05C10; 05B07;
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摘要
We construct face two-colourable triangulations of the graph 2Kn in an orientable surface; equivalently biembeddings of two twofold triple systems of order n, for all n ≡ 4 (mod 12). The biembeddings have a cyclic automorphism and the construction employs index 1 current graphs.
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页码:57 / 74
页数:17
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