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pro vyhledávání: '"McCourt, Thomas A."'
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 with the triples forming triangular faces and one extra large face.
Externí odkaz:
http://arxiv.org/abs/1911.07664
Autor:
McCourt, Thomas A., Lawson, Brodie, Zhou, Fengde, Thompson, Bevan, Tyson, Stephen, Donovan, Diane
A surrogate model approximates a computationally expensive solver. Polynomial Chaos is a method to construct surrogate models by summing combinations of carefully chosen polynomials. The polynomials are chosen to respect the probability distributions
Externí odkaz:
http://arxiv.org/abs/1702.04781
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 family of finite abelian groups that do not arise as canonical groups o
Externí odkaz:
http://arxiv.org/abs/1606.08122
Autor:
McCourt, Thomas A, Nixon, Anthony
A simple graph $G=(V,E)$ is a $(2,1)$-circuit if $|E|=2|V|$ and $|E(H)|\leq 2|V(H)|-1$ for every proper subgraph $H$ of $G$. Motivated, in part, by ongoing work to understand unique realisations of graphs on surfaces, we derive a constructive charact
Externí odkaz:
http://arxiv.org/abs/1604.05226
Autor:
Donovan, Diane, Burrage, Kevin, Burrage, Pamela, McCourt, Thomas A, Thompson, Harold Bevan, Yazici, Emine Sule
In this paper we use counting arguments to prove that the expected percentage coverage of a $d$ dimensional parameter space of size $n$ when performing $k$ trials with either Latin Hypercube sampling or Orthogonal sampling (when $n=p^d$) is the same.
Externí odkaz:
http://arxiv.org/abs/1510.03502
Publikováno v:
Can. Math. Bull. 59 (2016) 36-49
We prove that the existence spectrum of Mendelsohn triple systems whose associated quasigroups satisfy distributivity corresponds to the Loeschian numbers, and provide some enumeration results. We do this by considering a description of the quasigrou
Externí odkaz:
http://arxiv.org/abs/1411.5194
Autor:
McCourt, Thomas A.
Let $\mathcal{G}$ be a properly face 2-coloured (say black and white) \break piecewise-linear triangulation of the sphere with vertex set $V$. Consider the abelian group $\mathcal{A}_W$ generated by the set $V$, with relations $r+c+s=0$ for all white
Externí odkaz:
http://arxiv.org/abs/1408.2984
A result due in its various parts to Hendrickson, Connelly, and Jackson and Jord\'an, provides a purely combinatorial characterisation of global rigidity for generic bar-joint frameworks in $\mathbb{R}^2$. The analogous conditions are known to be ins
Externí odkaz:
http://arxiv.org/abs/1306.2346
Let $G$ be a triangulation of the sphere with vertex set $V$, such that the faces of the triangulation are properly coloured black and white. Motivated by applications in the theory of bitrades, Cavenagh and Wanless defined $A_W$ to be the abelian gr
Externí odkaz:
http://arxiv.org/abs/1112.5423
Autor:
McCourt, Thomas A.1, Nixon, Anthony2 a.nixon@lancaster.ac.uk
Publikováno v:
Journal of Graph Theory. Oct2018, Vol. 89 Issue 2, p150-175. 26p.
