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Red and blue particles are placed in equal proportion through-out either thecomplete or star graph and iteratively sampled to take simple random walksteps. Mutual annihilation occurs when particles with different colors meet. Wecompare the time it takes to extinguish every particle to the analogous time inthe (simple to analyze) one-type setting. Additionally, we study the effect ofasymmetric particle speeds.

Two-type annihilating systems on the complete and star graph