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math.CO2024
On the Diameter of Undirected Cayley Graphs of Finite Abelian Groups
Bela Bajnok, W. Kyle Beatty
Let be a positive integer. Our goal is to find all finite abelian groups that contain a -subset for which the undirected Cayley graph has diameter at most…
math.CO2024
Orbits of the hyperoctahedral group as Euclidean designs
Bela Bajnok
The hyperoctahedral group in dimensions (the Weyl group of Lie type ) is the subgroup of the orthogonal group generated by all transpositions of coordinates and reflec…
math.CO2024
Constructions of Spherical 3-Designs
Bela Bajnok
Spherical t-designs are Chebyshev-type averaging sets on the d-sphere S^d which are exact for polynomials of degree at most t. This concept was introduced in 1977 by Delsarte, Goet…