4 citations · 10 across the 7 of their papers we have counts for
10 papers
On the upper embedding of Steiner triple systems and Latin squares
Terry S. Griggs, Thomas A. McCourt, Jozef Siran
It is proved that for any prescribed orientation of the triples of either a Steiner triple system or a Latin square of odd order, there exists an embedding in an orientable surface…
Uncertainty quantification of coal seam gas production prediction using Polynomial Chaos
Thomas A. McCourt, Brodie Lawson, Fengde Zhou +3
A surrogate model approximates a computationally expensive solver. Polynomial Chaos is a method to construct surrogate models by summing combinations of carefully chosen polynomial…
On which groups can arise as the canonical group of a spherical latin bitrade
Kyle Bonetta-Martin, Thomas A. McCourt
We address a question of Cavenagh and Wanless asking: which finite abelian groups arise as the canonical group of a spherical latin bitrade? We prove the existence of an infinite f…
A constructive characterisation of circuits in the simple -sparse matroid
Thomas A McCourt, Anthony Nixon
A simple graph is a -circuit if and for every proper subgraph of . Motivated, in part, by ongoing work to understand uniqu…
Estimates of the coverage of parameter space by Latin Hypercube and Orthogonal sampling: connections between Populations of Models and Experimental Designs
Diane Donovan, Kevin Burrage, Pamela Burrage +3
In this paper we use counting arguments to prove that the expected percentage coverage of a dimensional parameter space of size when performing trials with either Latin…
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…
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{…
Necessary Conditions for the Generic Global Rigidity of Frameworks on Surfaces
Bill Jackson, Thomas McCourt, Anthony Nixon
A result due in its various parts to Hendrickson, Connelly, and Jackson and Jordán, provides a purely combinatorial characterisation of global rigidity for generic bar-joint framew…
A Constructive Characterisation of Circuits in the Simple (2,2)-sparsity Matroid
Anthony Nixon
We provide a constructive characterisation of circuits in the simple (2,2)-sparsity matroid. A circuit is a simple graph G=(V,E) with |E|=2|V|-1 and the number of edges induced by…
Triangulations of the sphere, bitrades and abelian groups
Simon R. Blackburn, Thomas A. McCourt
Let be a triangulation of the sphere with vertex set , such that the faces of the triangulation are properly coloured black and white. Motivated by applications in the theor…