Dr Maximilien Gadouleau's Outputs (2)

The MacWilliams Identity for the Skew Rank Metric (2023)
Journal Article
Friedlander, I., Bouganis, A., & Gadouleau, M. (2023). The MacWilliams Identity for the Skew Rank Metric. Advances in Mathematics of Communications, https://doi.org/10.3934/amc.2023045

The weight distribution of an error correcting code is a crucial statistic in determining its performance. One key tool for relating the weight of a code to that of it's dual is the MacWilliams Identity, first developed for the Hamming metric. This i... Read More about The MacWilliams Identity for the Skew Rank Metric.

Graphs with minimum fractional domatic number (2023)
Journal Article
Gadouleau, M., Harms, N., Mertzios, G. B., & Zamaraev, V. (2024). Graphs with minimum fractional domatic number. Discrete Applied Mathematics, 343, 140-148. https://doi.org/10.1016/j.dam.2023.10.020

The domatic number of a graph is the maximum number of vertex disjoint dominating sets that partition the vertex set of the graph. In this paper we consider the fractional variant of this notion. Graphs with fractional domatic number 1 are exactly th... Read More about Graphs with minimum fractional domatic number.