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We investigate the long-range behavior and size dependence of theRuderman-Kittel-Kasuya-Yosida (RKKY) interaction in hexagonal and triangulargraphene nanoflakes with zigzag and arm-chair edges. We employ thetight-binding model with exact diagonalization to calculate the RKKYinteraction as a function of the distance between magnetic impurities,nanoflake size, and edge geometry. Our findings demonstrate a strong dependencyof the RKKY interaction on edge geometry and flake size, with notable changesin the RKKY interaction strength. We further analyze the influence ofstructural defects on the interaction strength of exchange interactions.

Edge-State-Mediated RKKY Coupling in Graphene Nanoflakes