A conjecture on small embeddings of partial Steiner triple systems

2002 ◽  
Vol 10 (5) ◽  
pp. 313-321 ◽  
Author(s):  
Darryn Bryant
Keyword(s):  
Steiner Triple Systems ◽  
Triple Systems

scholarly journals On 6-sparse Steiner triple systems

2007 ◽  
Vol 114 (2) ◽  
pp. 235-252 ◽  
Author(s):  
A.D. Forbes ◽  
M.J. Grannell ◽  
T.S. Griggs
Keyword(s):  
Steiner Triple Systems ◽  
Triple Systems

scholarly journals Maximum genus embeddings of Steiner triple systems

2005 ◽  
Vol 26 (3-4) ◽  
pp. 401-416 ◽  
Author(s):  
Mike J. Grannell ◽  
Terry S. Griggs ◽  
Jozef Širáň
Keyword(s):  
Steiner Triple Systems ◽  
Maximum Genus ◽  
Triple Systems

scholarly journals Cyclic bi-embeddings of Steiner triple systems on 31 points

2001 ◽  
Vol 43 (1) ◽  
pp. 145-151 ◽  
Author(s):  
G. K. Bennett ◽  
M. J. Grannell ◽  
T. S. Griggs
Keyword(s):  
Orientable Surface ◽  
Steiner Triple Systems ◽  
Difference Problem ◽  
Triple Systems ◽  
Relationship Of ◽  
The Relationship

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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