54 citations · 65 across the 10 of their papers we have counts for
Showing 2014 · math.COShow all
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math.CO2014
On factorisations of complete graphs into circulant graphs and the Oberwolfach Problem
Brian Alspach, Darryn Bryant, Daniel Horsley +2
Various results on factorisations of complete graphs into circulant graphs and on 2-factorisations of these circulant graphs are proved. As a consequence, a number of new results o…
math.CO2014
Vertex-transitive graphs that have no Hamilton decomposition
Darryn Bryant, Matthew Dean
It is shown that there are infinitely many connected vertex-transitive graphs that have no Hamilton decomposition, including infinitely many Cayley graphs of valency 6, and includi…
math.CO2014
Steiner triple systems without parallel classes
Darryn Bryant, Daniel Horsley
We construct Steiner triple systems without parallel classes for an infinite number of orders congruent to . The only previously known examples have order or .