Arthur Dumas

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20232025

most citedAn Objective Improvement Approach to Solving Discounted Payoff Games

1 citations · 1 across the 3 of their papers we have counts for

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math.CO2025

On Modular Edge Colourings of Graphs

Gaétan Berthe, Marthe Bonamy, Fábio Botler +5

Given a graph $G$ and an integer $k \geq 2$ , let $χ_{k}^{'} (G)$ denote the minimum number of colours required to colour the edges of $G$ such that, in each colour class, the subgraph ind…

math.CO2023

The Maker-Maker domination game in forests

Eric Duchêne, Arthur Dumas, Nacim Oijid +2

We study the Maker-Maker version of the domination game introduced in 2018 by Duchêne et al. Given a graph, two players alternately claim vertices. The first player to claim a domi…