Maximum genus embeddings of Steiner triple systems

Grannell, Mike J.; Griggs, Terry S. and Siran, Jozef (2005). Maximum genus embeddings of Steiner triple systems. European Journal of Combinatorics, 26(3-4) pp. 401–416.

DOI: https://doi.org/10.1016/j.ejc.2004.01.014

Abstract

We prove that for n>3 every STS(n) has both an orientable and a nonorientable embedding in which the triples of the STS(n) appear as triangular faces and there is just one additional large face. We also obtain detailed results about the possible automorphisms of such embeddings.

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About

• Item ORO ID
• 2153
• Item Type
• Journal Item
• ISSN
• 0195-6698
• Extra Information
• Some of the symbols may not have transferred correctly into this bibliographic record and/or abstract.
• Keywords
• Topological embedding; Complete graph; Steiner triple system
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Depositing User
• Mike Grannell