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math.CO2024
The coherent rank of a graph with three eigenvalues
Gary Greaves, Jose Yip
We characterise graphs that have three distinct eigenvalues and coherent ranks 8 and 9, linking the former to certain symmetric 2-designs and the latter to specific quasi-symmetric…
math-ph2024
Bootstrapping cascaded random matrix models: correlations in permutations of matrix products
Niall Byrnes, Gary R. W. Greaves, Matthew R. Foreman
Random matrix theory is a useful tool in the study of the physics of multiple scattering systems, often striking a balance between computation speed and physical rigour. Propagatio…
math.CO2024
Constructions of -designs from weighing matrices and association schemes
Gary Greaves, Sho Suda
We provide a method to construct -designs from weighing matrices and association schemes. One instance of our method can produce a -design from any (symmetric or skew-symmetr…