Cyclic bi-embeddings of Steiner triple systems on 31 points

Bennett, G. K.; Grannell, M. J. and Griggs, T. S. (2001). Cyclic bi-embeddings of Steiner triple systems on 31 points. Glasgow Mathematical Journal, 43(1) pp. 145–151.

DOI: https://doi.org/10.1017/S001708950101014X

Abstract

We investigate cyclic bi-embeddings in an orientable surface of Steiner triple systems on 31 points. Up to isomorphism, we show that there are precisely 2408 such embeddings. The relationship of these to solutions of Heffter's first difference problem is discussed and a procedure described which, under certain conditions, transforms one bi-embedding to another.

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About

• Item ORO ID
• 22781
• Item Type
• Journal Item
• ISSN
• 1469-509X
• 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