3 papers
math.CO2024
Grid-drawings of graphs in three-dimensions
Jozsef Balogh, Ethan Patrick White
Using probabilistic methods, we obtain grid-drawings of graphs without crossings with low volume and small aspect ratio. We show that every -degenerate graph on vertices can…
math.CO2023
Improving Uniquely Decodable Codes in Binary Adder Channels
József Balogh, The Nguyen, Patric R. J. Ostergard +2
We present a general method to modify existing uniquely decodable codes in the -user binary adder channel. If at least one of the original constituent codes does not have averag…
math.MG2023
On Axial Symmetry in Convex Bodies
Ritesh Goenka, Kenneth Moore, Wen Rui Sun +1
For a two-dimensional convex body, the Kovner-Besicovitch measure of symmetry is defined as the volume ratio of the largest centrally symmetric body contained inside the body to th…