Further biembeddings of twofold triple systems

Authors

  • Diane M. Donovan University of Queensland, Australia
  • Terry S. Griggs The Open University, United Kingdom
  • James G. Lefevre University of Queensland, Australia
  • Thomas A. McCourt University of Bristol, United Kingdom

DOI:

https://doi.org/10.26493/1855-3974.415.ecd

Keywords:

Biembedding, orientable surface, twofold triple system

Abstract

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 ≡ 16 or 28 (mod 48). The biembeddings come from index 1 current graphs lifted under a group Zn / 4 × K4.

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Published

2015-01-22

Issue

Vol. 8 No. 2 (2015)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/