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A complete solution to the biased Alon-Krivelevich-Spencer-Szabó criterion problem for the discrepancy game Scaffolds for Higher Tropical Grassmannians: Foundations Krahn-Szegő type inequalities for graphs $\boldsymbol{2}$-Neighbor Bootstrap Percolation on Odd Graphs Modular inequalities and Alexander polynomials of pencil type conic-line arrangements Counterexamples regarding elementary symmetric partitions Bounds on Multiple $b$-Burst Deletion-Correcting Codes The mex statistic on combinatorial structures Proper Additive Edge Colorings of Regular Graphs Off-diagonal Ramsey numbers Semi-inducibility of 4-vertex graphs Maya-Tupi graphs: a generalization of split graphs Recursions, Trains, Trees, and Combinatorial Rod Set Algebra Sufficient minimum degree conditions for the existence of highly connected or edge-connected subgraphs On the characterizations of $\mathcal{D}_{k} \backslash \mathcal{D}_{k-2}$ Ramsey numbers for 1-degenerate 3-graphs Bipartite graphs with minimum degree at least 15 are antimagic A coarse Halin Grid Theorem with applications to quasi-transitive, locally finite graphs Bounds on the game isolation number and exact values for paths and cycles Minors of non-hamiltonian polyhedra and the Herschel family Triangle-free subsets of the $r$-distance graph of the hypercube Notes on sum-free sets in abelian groups When are Hopf algebras determined by integer sequences? 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The Edge-Distinguishing Game
Nathaniel Benjamin, Elisa Benthem, Cooper Burkel, Marissa Chesse · 2025-08-29 · via math.CO updates on arXiv.org

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.

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