111 citations · 212 across the 8 of their papers we have counts for
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math.CO2008
Minimal Euclidean representations of graphs
Aidan Roy
A simple graph G is said to be representable in a real vector space of dimension m if there is an embedding of the vertex set in the vector space such that the Euclidean distance b…
math.CO2008★ 111 cited
Unitary designs and codes
Aidan Roy, A. J. Scott
A unitary design is a collection of unitary matrices that approximate the entire unitary group, much like a spherical design approximates the entire unit sphere. In this paper, we…
math.CO2008★ 3 cited
Bounds for codes and designs in complex subspaces
Aidan Roy
We introduce the concepts of complex Grassmannian codes and designs. Let G(m,n) denote the set of m-dimensional subspaces of C^n: then a code is a finite subset of G(m,n) in which…