2025/08/28 by Benjamin, Nathaniel, Benthem, Elisa, Burkel, Cooper +2
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2508.21185
In this paper, we introduce a graph coloring game called the Edge-Distinguishing Game (EDGe). The edge-distinguishing chromatic number of a graph is used to determine the moves each player can make. We determine which player has a winning strategy for particular graphs and graph families. Additionally, utilizing principles from game theory as well as previous work on a computational solution for the Game of Cycles.