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math.CO2014★ 4 cited
Distributive and anti-distributive Mendelsohn triple systems
Diane M. Donovan, Terry S. Griggs, Thomas A. McCourt +2
We prove that the existence spectrum of Mendelsohn triple systems whose associated quasigroups satisfy distributivity corresponds to the Loeschian numbers, and provide some enumera…
math.CO2014
Growth rates of groups associated with face 2-coloured triangulations and directed Eulerian digraphs on the sphere
Thomas A. McCourt
Let be a properly face 2-coloured (say black and white) \break piecewise-linear triangulation of the sphere with vertex set . Consider the abelian group $\mathcal{…