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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…