5 papers
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…
A note on some spectral properties of generalised pancake graphs
Gary R. W. Greaves, Haoran Zhu
We prove that the spectral gap of generalised pancake graphs is strictly less than 2 and strictly less than 1 for burnt pancake graphs. In addition, we establish lower bounds on th…
Vertex operators, infinite wedge representations, and correlation functions of the t-Schur measure
Gary Greaves, Naihuan Jing, Haoran Zhu
We study the -Schur measure on partitions, defined by , where denotes the -Schur symmetric functions and the or…
Characteristic polynomials of -matrices modulo a power of
Gary Greaves, Huu An Phan
For a fixed integer and large enough, we show that the number of congruence classes modulo of characteristic polynomials of symmetric $\{\pm…
Neumaier graphs from cyclotomy with small coherent rank
Gary R. W. Greaves, Zhao Kuang Tan
Using cyclotomy, we construct a new infinite family of Neumaier graphs that includes infinitely many strongly regular graphs. Notably, this family conjecturally contains infinitely…