B. Bajnok

collaborators

12 papers

math.HO2025

Report on the 63rd Annual International Mathematical Olympiad

BÃ©la Bajnok

We present the problems and solutions to the 63rd Annual International Mathematical Olympiad.

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 $I^ (G, A)$ 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.NT2024

The spanning number and the independence number of a subset of an abelian group

Bela Bajnok

Let $A = {a_{1}, a_{2}, \dots, a_{m}}$ be a subset of a finite abelian group $G$ . We call $A$ {\it $t$ -independent} in $G$ , if whenever $I^»_{1} a_{1} + I^»_{2} a_{2} + \dots + I^»_{m} a_{m} = 0$ for some inte…

math.HO2024

Report on the 12th Annual USA Junior Mathematical Olympiad

Bela Bajnok, Evan Chen

We present the problems and solutions to the 12th Annual USA Junior Mathematical Olympiad.

math.HO2024

Report on the 50th Annual USA Mathematical Olympiad

Bela Bajnok

We present the problems and solutions to the 50th Annual USA Mathematical Olympiad.