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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…