B. Bajnok

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20082025

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math.CO2024

On the Diameter of Undirected Cayley Graphs of Finite Abelian Groups

Bela Bajnok, W. Kyle Beatty

Let $s$ be a positive integer. Our goal is to find all finite abelian groups $G$ that contain a $2$ -subset $A$ for which the undirected Cayley graph $Γ (G, A)$ has diameter at most $…

math.CO2024

Orbits of the hyperoctahedral group as Euclidean designs

Bela Bajnok

The hyperoctahedral group $H$ in $n$ dimensions (the Weyl group of Lie type $B_{n}$ ) 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…

math.CO2008

On the maximum size of a $(k, l)$ -sum-free subset of an abelian group

Bela Bajnok

A subset $A$ of a given finite abelian group $G$ is called $(k, l)$ -sum-free if the sum of $k$ (not necessarily distinct) elements of $A$ does not equal the sum of $l$ (not necessar…

On the Diameter of Undirected Cayley Graphs of Finite Abelian Groups

Orbits of the hyperoctahedral group as Euclidean designs

Constructions of Spherical 3-Designs

On the maximum size of a (k,l)-sum-free subset of an abelian group

On the maximum size of a $(k, l)$ -sum-free subset of an abelian group